|  | ================================= | 
|  | :mod:`turtle` --- Turtle graphics | 
|  | ================================= | 
|  |  | 
|  | .. module:: turtle | 
|  | :synopsis: An educational framework for simple graphics applications | 
|  |  | 
|  | .. sectionauthor:: Gregor Lingl <gregor.lingl@aon.at> | 
|  |  | 
|  | **Source code:** :source:`Lib/turtle.py` | 
|  |  | 
|  | .. testsetup:: default | 
|  |  | 
|  | from turtle import * | 
|  | turtle = Turtle() | 
|  |  | 
|  | -------------- | 
|  |  | 
|  | Introduction | 
|  | ============ | 
|  |  | 
|  | Turtle graphics is a popular way for introducing programming to kids.  It was | 
|  | part of the original Logo programming language developed by Wally Feurzeig, | 
|  | Seymour Papert and Cynthia Solomon in 1967. | 
|  |  | 
|  | Imagine a robotic turtle starting at (0, 0) in the x-y plane.  After an ``import turtle``, give it the | 
|  | command ``turtle.forward(15)``, and it moves (on-screen!) 15 pixels in the | 
|  | direction it is facing, drawing a line as it moves.  Give it the command | 
|  | ``turtle.right(25)``, and it rotates in-place 25 degrees clockwise. | 
|  |  | 
|  | .. sidebar:: Turtle star | 
|  |  | 
|  | Turtle can draw intricate shapes using programs that repeat simple | 
|  | moves. | 
|  |  | 
|  | .. image:: turtle-star.* | 
|  | :align: center | 
|  |  | 
|  | .. literalinclude:: ../includes/turtle-star.py | 
|  |  | 
|  | By combining together these and similar commands, intricate shapes and pictures | 
|  | can easily be drawn. | 
|  |  | 
|  | The :mod:`turtle` module is an extended reimplementation of the same-named | 
|  | module from the Python standard distribution up to version Python 2.5. | 
|  |  | 
|  | It tries to keep the merits of the old turtle module and to be (nearly) 100% | 
|  | compatible with it.  This means in the first place to enable the learning | 
|  | programmer to use all the commands, classes and methods interactively when using | 
|  | the module from within IDLE run with the ``-n`` switch. | 
|  |  | 
|  | The turtle module provides turtle graphics primitives, in both object-oriented | 
|  | and procedure-oriented ways.  Because it uses :mod:`tkinter` for the underlying | 
|  | graphics, it needs a version of Python installed with Tk support. | 
|  |  | 
|  | The object-oriented interface uses essentially two+two classes: | 
|  |  | 
|  | 1. The :class:`TurtleScreen` class defines graphics windows as a playground for | 
|  | the drawing turtles.  Its constructor needs a :class:`tkinter.Canvas` or a | 
|  | :class:`ScrolledCanvas` as argument.  It should be used when :mod:`turtle` is | 
|  | used as part of some application. | 
|  |  | 
|  | The function :func:`Screen` returns a singleton object of a | 
|  | :class:`TurtleScreen` subclass. This function should be used when | 
|  | :mod:`turtle` is used as a standalone tool for doing graphics. | 
|  | As a singleton object, inheriting from its class is not possible. | 
|  |  | 
|  | All methods of TurtleScreen/Screen also exist as functions, i.e. as part of | 
|  | the procedure-oriented interface. | 
|  |  | 
|  | 2. :class:`RawTurtle` (alias: :class:`RawPen`) defines Turtle objects which draw | 
|  | on a :class:`TurtleScreen`.  Its constructor needs a Canvas, ScrolledCanvas | 
|  | or TurtleScreen as argument, so the RawTurtle objects know where to draw. | 
|  |  | 
|  | Derived from RawTurtle is the subclass :class:`Turtle` (alias: :class:`Pen`), | 
|  | which draws on "the" :class:`Screen` instance which is automatically | 
|  | created, if not already present. | 
|  |  | 
|  | All methods of RawTurtle/Turtle also exist as functions, i.e. part of the | 
|  | procedure-oriented interface. | 
|  |  | 
|  | The procedural interface provides functions which are derived from the methods | 
|  | of the classes :class:`Screen` and :class:`Turtle`.  They have the same names as | 
|  | the corresponding methods.  A screen object is automatically created whenever a | 
|  | function derived from a Screen method is called.  An (unnamed) turtle object is | 
|  | automatically created whenever any of the functions derived from a Turtle method | 
|  | is called. | 
|  |  | 
|  | To use multiple turtles on a screen one has to use the object-oriented interface. | 
|  |  | 
|  | .. note:: | 
|  | In the following documentation the argument list for functions is given. | 
|  | Methods, of course, have the additional first argument *self* which is | 
|  | omitted here. | 
|  |  | 
|  |  | 
|  | Overview of available Turtle and Screen methods | 
|  | ================================================= | 
|  |  | 
|  | Turtle methods | 
|  | -------------- | 
|  |  | 
|  | Turtle motion | 
|  | Move and draw | 
|  | | :func:`forward` | :func:`fd` | 
|  | | :func:`backward` | :func:`bk` | :func:`back` | 
|  | | :func:`right` | :func:`rt` | 
|  | | :func:`left` | :func:`lt` | 
|  | | :func:`goto` | :func:`setpos` | :func:`setposition` | 
|  | | :func:`setx` | 
|  | | :func:`sety` | 
|  | | :func:`setheading` | :func:`seth` | 
|  | | :func:`home` | 
|  | | :func:`circle` | 
|  | | :func:`dot` | 
|  | | :func:`stamp` | 
|  | | :func:`clearstamp` | 
|  | | :func:`clearstamps` | 
|  | | :func:`undo` | 
|  | | :func:`speed` | 
|  |  | 
|  | Tell Turtle's state | 
|  | | :func:`position` | :func:`pos` | 
|  | | :func:`towards` | 
|  | | :func:`xcor` | 
|  | | :func:`ycor` | 
|  | | :func:`heading` | 
|  | | :func:`distance` | 
|  |  | 
|  | Setting and measurement | 
|  | | :func:`degrees` | 
|  | | :func:`radians` | 
|  |  | 
|  | Pen control | 
|  | Drawing state | 
|  | | :func:`pendown` | :func:`pd` | :func:`down` | 
|  | | :func:`penup` | :func:`pu` | :func:`up` | 
|  | | :func:`pensize` | :func:`width` | 
|  | | :func:`pen` | 
|  | | :func:`isdown` | 
|  |  | 
|  | Color control | 
|  | | :func:`color` | 
|  | | :func:`pencolor` | 
|  | | :func:`fillcolor` | 
|  |  | 
|  | Filling | 
|  | | :func:`filling` | 
|  | | :func:`begin_fill` | 
|  | | :func:`end_fill` | 
|  |  | 
|  | More drawing control | 
|  | | :func:`reset` | 
|  | | :func:`clear` | 
|  | | :func:`write` | 
|  |  | 
|  | Turtle state | 
|  | Visibility | 
|  | | :func:`showturtle` | :func:`st` | 
|  | | :func:`hideturtle` | :func:`ht` | 
|  | | :func:`isvisible` | 
|  |  | 
|  | Appearance | 
|  | | :func:`shape` | 
|  | | :func:`resizemode` | 
|  | | :func:`shapesize` | :func:`turtlesize` | 
|  | | :func:`shearfactor` | 
|  | | :func:`settiltangle` | 
|  | | :func:`tiltangle` | 
|  | | :func:`tilt` | 
|  | | :func:`shapetransform` | 
|  | | :func:`get_shapepoly` | 
|  |  | 
|  | Using events | 
|  | | :func:`onclick` | 
|  | | :func:`onrelease` | 
|  | | :func:`ondrag` | 
|  |  | 
|  | Special Turtle methods | 
|  | | :func:`begin_poly` | 
|  | | :func:`end_poly` | 
|  | | :func:`get_poly` | 
|  | | :func:`clone` | 
|  | | :func:`getturtle` | :func:`getpen` | 
|  | | :func:`getscreen` | 
|  | | :func:`setundobuffer` | 
|  | | :func:`undobufferentries` | 
|  |  | 
|  |  | 
|  | Methods of TurtleScreen/Screen | 
|  | ------------------------------ | 
|  |  | 
|  | Window control | 
|  | | :func:`bgcolor` | 
|  | | :func:`bgpic` | 
|  | | :func:`clearscreen` | 
|  | | :func:`resetscreen` | 
|  | | :func:`screensize` | 
|  | | :func:`setworldcoordinates` | 
|  |  | 
|  | Animation control | 
|  | | :func:`delay` | 
|  | | :func:`tracer` | 
|  | | :func:`update` | 
|  |  | 
|  | Using screen events | 
|  | | :func:`listen` | 
|  | | :func:`onkey` | :func:`onkeyrelease` | 
|  | | :func:`onkeypress` | 
|  | | :func:`onclick` | :func:`onscreenclick` | 
|  | | :func:`ontimer` | 
|  | | :func:`mainloop` | :func:`done` | 
|  |  | 
|  | Settings and special methods | 
|  | | :func:`mode` | 
|  | | :func:`colormode` | 
|  | | :func:`getcanvas` | 
|  | | :func:`getshapes` | 
|  | | :func:`register_shape` | :func:`addshape` | 
|  | | :func:`turtles` | 
|  | | :func:`window_height` | 
|  | | :func:`window_width` | 
|  |  | 
|  | Input methods | 
|  | | :func:`textinput` | 
|  | | :func:`numinput` | 
|  |  | 
|  | Methods specific to Screen | 
|  | | :func:`bye` | 
|  | | :func:`exitonclick` | 
|  | | :func:`setup` | 
|  | | :func:`title` | 
|  |  | 
|  |  | 
|  | Methods of RawTurtle/Turtle and corresponding functions | 
|  | ======================================================= | 
|  |  | 
|  | Most of the examples in this section refer to a Turtle instance called | 
|  | ``turtle``. | 
|  |  | 
|  | Turtle motion | 
|  | ------------- | 
|  |  | 
|  | .. function:: forward(distance) | 
|  | fd(distance) | 
|  |  | 
|  | :param distance: a number (integer or float) | 
|  |  | 
|  | Move the turtle forward by the specified *distance*, in the direction the | 
|  | turtle is headed. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.position() | 
|  | (0.00,0.00) | 
|  | >>> turtle.forward(25) | 
|  | >>> turtle.position() | 
|  | (25.00,0.00) | 
|  | >>> turtle.forward(-75) | 
|  | >>> turtle.position() | 
|  | (-50.00,0.00) | 
|  |  | 
|  |  | 
|  | .. function:: back(distance) | 
|  | bk(distance) | 
|  | backward(distance) | 
|  |  | 
|  | :param distance: a number | 
|  |  | 
|  | Move the turtle backward by *distance*, opposite to the direction the | 
|  | turtle is headed.  Do not change the turtle's heading. | 
|  |  | 
|  | .. doctest:: | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.goto(0, 0) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.position() | 
|  | (0.00,0.00) | 
|  | >>> turtle.backward(30) | 
|  | >>> turtle.position() | 
|  | (-30.00,0.00) | 
|  |  | 
|  |  | 
|  | .. function:: right(angle) | 
|  | rt(angle) | 
|  |  | 
|  | :param angle: a number (integer or float) | 
|  |  | 
|  | Turn turtle right by *angle* units.  (Units are by default degrees, but | 
|  | can be set via the :func:`degrees` and :func:`radians` functions.)  Angle | 
|  | orientation depends on the turtle mode, see :func:`mode`. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.setheading(22) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.heading() | 
|  | 22.0 | 
|  | >>> turtle.right(45) | 
|  | >>> turtle.heading() | 
|  | 337.0 | 
|  |  | 
|  |  | 
|  | .. function:: left(angle) | 
|  | lt(angle) | 
|  |  | 
|  | :param angle: a number (integer or float) | 
|  |  | 
|  | Turn turtle left by *angle* units.  (Units are by default degrees, but | 
|  | can be set via the :func:`degrees` and :func:`radians` functions.)  Angle | 
|  | orientation depends on the turtle mode, see :func:`mode`. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.setheading(22) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.heading() | 
|  | 22.0 | 
|  | >>> turtle.left(45) | 
|  | >>> turtle.heading() | 
|  | 67.0 | 
|  |  | 
|  |  | 
|  | .. function:: goto(x, y=None) | 
|  | setpos(x, y=None) | 
|  | setposition(x, y=None) | 
|  |  | 
|  | :param x: a number or a pair/vector of numbers | 
|  | :param y: a number or ``None`` | 
|  |  | 
|  | If *y* is ``None``, *x* must be a pair of coordinates or a :class:`Vec2D` | 
|  | (e.g. as returned by :func:`pos`). | 
|  |  | 
|  | Move turtle to an absolute position.  If the pen is down, draw line.  Do | 
|  | not change the turtle's orientation. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.goto(0, 0) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> tp = turtle.pos() | 
|  | >>> tp | 
|  | (0.00,0.00) | 
|  | >>> turtle.setpos(60,30) | 
|  | >>> turtle.pos() | 
|  | (60.00,30.00) | 
|  | >>> turtle.setpos((20,80)) | 
|  | >>> turtle.pos() | 
|  | (20.00,80.00) | 
|  | >>> turtle.setpos(tp) | 
|  | >>> turtle.pos() | 
|  | (0.00,0.00) | 
|  |  | 
|  |  | 
|  | .. function:: setx(x) | 
|  |  | 
|  | :param x: a number (integer or float) | 
|  |  | 
|  | Set the turtle's first coordinate to *x*, leave second coordinate | 
|  | unchanged. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.goto(0, 240) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.position() | 
|  | (0.00,240.00) | 
|  | >>> turtle.setx(10) | 
|  | >>> turtle.position() | 
|  | (10.00,240.00) | 
|  |  | 
|  |  | 
|  | .. function:: sety(y) | 
|  |  | 
|  | :param y: a number (integer or float) | 
|  |  | 
|  | Set the turtle's second coordinate to *y*, leave first coordinate unchanged. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.goto(0, 40) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.position() | 
|  | (0.00,40.00) | 
|  | >>> turtle.sety(-10) | 
|  | >>> turtle.position() | 
|  | (0.00,-10.00) | 
|  |  | 
|  |  | 
|  | .. function:: setheading(to_angle) | 
|  | seth(to_angle) | 
|  |  | 
|  | :param to_angle: a number (integer or float) | 
|  |  | 
|  | Set the orientation of the turtle to *to_angle*.  Here are some common | 
|  | directions in degrees: | 
|  |  | 
|  | =================== ==================== | 
|  | standard mode           logo mode | 
|  | =================== ==================== | 
|  | 0 - east                0 - north | 
|  | 90 - north              90 - east | 
|  | 180 - west              180 - south | 
|  | 270 - south             270 - west | 
|  | =================== ==================== | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.setheading(90) | 
|  | >>> turtle.heading() | 
|  | 90.0 | 
|  |  | 
|  |  | 
|  | .. function:: home() | 
|  |  | 
|  | Move turtle to the origin -- coordinates (0,0) -- and set its heading to | 
|  | its start-orientation (which depends on the mode, see :func:`mode`). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.setheading(90) | 
|  | >>> turtle.goto(0, -10) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.heading() | 
|  | 90.0 | 
|  | >>> turtle.position() | 
|  | (0.00,-10.00) | 
|  | >>> turtle.home() | 
|  | >>> turtle.position() | 
|  | (0.00,0.00) | 
|  | >>> turtle.heading() | 
|  | 0.0 | 
|  |  | 
|  |  | 
|  | .. function:: circle(radius, extent=None, steps=None) | 
|  |  | 
|  | :param radius: a number | 
|  | :param extent: a number (or ``None``) | 
|  | :param steps: an integer (or ``None``) | 
|  |  | 
|  | Draw a circle with given *radius*.  The center is *radius* units left of | 
|  | the turtle; *extent* -- an angle -- determines which part of the circle | 
|  | is drawn.  If *extent* is not given, draw the entire circle.  If *extent* | 
|  | is not a full circle, one endpoint of the arc is the current pen | 
|  | position.  Draw the arc in counterclockwise direction if *radius* is | 
|  | positive, otherwise in clockwise direction.  Finally the direction of the | 
|  | turtle is changed by the amount of *extent*. | 
|  |  | 
|  | As the circle is approximated by an inscribed regular polygon, *steps* | 
|  | determines the number of steps to use.  If not given, it will be | 
|  | calculated automatically.  May be used to draw regular polygons. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.position() | 
|  | (0.00,0.00) | 
|  | >>> turtle.heading() | 
|  | 0.0 | 
|  | >>> turtle.circle(50) | 
|  | >>> turtle.position() | 
|  | (-0.00,0.00) | 
|  | >>> turtle.heading() | 
|  | 0.0 | 
|  | >>> turtle.circle(120, 180)  # draw a semicircle | 
|  | >>> turtle.position() | 
|  | (0.00,240.00) | 
|  | >>> turtle.heading() | 
|  | 180.0 | 
|  |  | 
|  |  | 
|  | .. function:: dot(size=None, *color) | 
|  |  | 
|  | :param size: an integer >= 1 (if given) | 
|  | :param color: a colorstring or a numeric color tuple | 
|  |  | 
|  | Draw a circular dot with diameter *size*, using *color*.  If *size* is | 
|  | not given, the maximum of pensize+4 and 2*pensize is used. | 
|  |  | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.dot() | 
|  | >>> turtle.fd(50); turtle.dot(20, "blue"); turtle.fd(50) | 
|  | >>> turtle.position() | 
|  | (100.00,-0.00) | 
|  | >>> turtle.heading() | 
|  | 0.0 | 
|  |  | 
|  |  | 
|  | .. function:: stamp() | 
|  |  | 
|  | Stamp a copy of the turtle shape onto the canvas at the current turtle | 
|  | position.  Return a stamp_id for that stamp, which can be used to delete | 
|  | it by calling ``clearstamp(stamp_id)``. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.color("blue") | 
|  | >>> turtle.stamp() | 
|  | 11 | 
|  | >>> turtle.fd(50) | 
|  |  | 
|  |  | 
|  | .. function:: clearstamp(stampid) | 
|  |  | 
|  | :param stampid: an integer, must be return value of previous | 
|  | :func:`stamp` call | 
|  |  | 
|  | Delete stamp with given *stampid*. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.position() | 
|  | (150.00,-0.00) | 
|  | >>> turtle.color("blue") | 
|  | >>> astamp = turtle.stamp() | 
|  | >>> turtle.fd(50) | 
|  | >>> turtle.position() | 
|  | (200.00,-0.00) | 
|  | >>> turtle.clearstamp(astamp) | 
|  | >>> turtle.position() | 
|  | (200.00,-0.00) | 
|  |  | 
|  |  | 
|  | .. function:: clearstamps(n=None) | 
|  |  | 
|  | :param n: an integer (or ``None``) | 
|  |  | 
|  | Delete all or first/last *n* of turtle's stamps.  If *n* is ``None``, delete | 
|  | all stamps, if *n* > 0 delete first *n* stamps, else if *n* < 0 delete | 
|  | last *n* stamps. | 
|  |  | 
|  | .. doctest:: | 
|  |  | 
|  | >>> for i in range(8): | 
|  | ...     turtle.stamp(); turtle.fd(30) | 
|  | 13 | 
|  | 14 | 
|  | 15 | 
|  | 16 | 
|  | 17 | 
|  | 18 | 
|  | 19 | 
|  | 20 | 
|  | >>> turtle.clearstamps(2) | 
|  | >>> turtle.clearstamps(-2) | 
|  | >>> turtle.clearstamps() | 
|  |  | 
|  |  | 
|  | .. function:: undo() | 
|  |  | 
|  | Undo (repeatedly) the last turtle action(s).  Number of available | 
|  | undo actions is determined by the size of the undobuffer. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> for i in range(4): | 
|  | ...     turtle.fd(50); turtle.lt(80) | 
|  | ... | 
|  | >>> for i in range(8): | 
|  | ...     turtle.undo() | 
|  |  | 
|  |  | 
|  | .. function:: speed(speed=None) | 
|  |  | 
|  | :param speed: an integer in the range 0..10 or a speedstring (see below) | 
|  |  | 
|  | Set the turtle's speed to an integer value in the range 0..10.  If no | 
|  | argument is given, return current speed. | 
|  |  | 
|  | If input is a number greater than 10 or smaller than 0.5, speed is set | 
|  | to 0.  Speedstrings are mapped to speedvalues as follows: | 
|  |  | 
|  | * "fastest":  0 | 
|  | * "fast":  10 | 
|  | * "normal":  6 | 
|  | * "slow":  3 | 
|  | * "slowest":  1 | 
|  |  | 
|  | Speeds from 1 to 10 enforce increasingly faster animation of line drawing | 
|  | and turtle turning. | 
|  |  | 
|  | Attention: *speed* = 0 means that *no* animation takes | 
|  | place. forward/back makes turtle jump and likewise left/right make the | 
|  | turtle turn instantly. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.speed() | 
|  | 3 | 
|  | >>> turtle.speed('normal') | 
|  | >>> turtle.speed() | 
|  | 6 | 
|  | >>> turtle.speed(9) | 
|  | >>> turtle.speed() | 
|  | 9 | 
|  |  | 
|  |  | 
|  | Tell Turtle's state | 
|  | ------------------- | 
|  |  | 
|  | .. function:: position() | 
|  | pos() | 
|  |  | 
|  | Return the turtle's current location (x,y) (as a :class:`Vec2D` vector). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.pos() | 
|  | (440.00,-0.00) | 
|  |  | 
|  |  | 
|  | .. function:: towards(x, y=None) | 
|  |  | 
|  | :param x: a number or a pair/vector of numbers or a turtle instance | 
|  | :param y: a number if *x* is a number, else ``None`` | 
|  |  | 
|  | Return the angle between the line from turtle position to position specified | 
|  | by (x,y), the vector or the other turtle.  This depends on the turtle's start | 
|  | orientation which depends on the mode - "standard"/"world" or "logo". | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.goto(10, 10) | 
|  | >>> turtle.towards(0,0) | 
|  | 225.0 | 
|  |  | 
|  |  | 
|  | .. function:: xcor() | 
|  |  | 
|  | Return the turtle's x coordinate. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.left(50) | 
|  | >>> turtle.forward(100) | 
|  | >>> turtle.pos() | 
|  | (64.28,76.60) | 
|  | >>> print(round(turtle.xcor(), 5)) | 
|  | 64.27876 | 
|  |  | 
|  |  | 
|  | .. function:: ycor() | 
|  |  | 
|  | Return the turtle's y coordinate. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.left(60) | 
|  | >>> turtle.forward(100) | 
|  | >>> print(turtle.pos()) | 
|  | (50.00,86.60) | 
|  | >>> print(round(turtle.ycor(), 5)) | 
|  | 86.60254 | 
|  |  | 
|  |  | 
|  | .. function:: heading() | 
|  |  | 
|  | Return the turtle's current heading (value depends on the turtle mode, see | 
|  | :func:`mode`). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.left(67) | 
|  | >>> turtle.heading() | 
|  | 67.0 | 
|  |  | 
|  |  | 
|  | .. function:: distance(x, y=None) | 
|  |  | 
|  | :param x: a number or a pair/vector of numbers or a turtle instance | 
|  | :param y: a number if *x* is a number, else ``None`` | 
|  |  | 
|  | Return the distance from the turtle to (x,y), the given vector, or the given | 
|  | other turtle, in turtle step units. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.distance(30,40) | 
|  | 50.0 | 
|  | >>> turtle.distance((30,40)) | 
|  | 50.0 | 
|  | >>> joe = Turtle() | 
|  | >>> joe.forward(77) | 
|  | >>> turtle.distance(joe) | 
|  | 77.0 | 
|  |  | 
|  |  | 
|  | Settings for measurement | 
|  | ------------------------ | 
|  |  | 
|  | .. function:: degrees(fullcircle=360.0) | 
|  |  | 
|  | :param fullcircle: a number | 
|  |  | 
|  | Set angle measurement units, i.e. set number of "degrees" for a full circle. | 
|  | Default value is 360 degrees. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.left(90) | 
|  | >>> turtle.heading() | 
|  | 90.0 | 
|  |  | 
|  | Change angle measurement unit to grad (also known as gon, | 
|  | grade, or gradian and equals 1/100-th of the right angle.) | 
|  | >>> turtle.degrees(400.0) | 
|  | >>> turtle.heading() | 
|  | 100.0 | 
|  | >>> turtle.degrees(360) | 
|  | >>> turtle.heading() | 
|  | 90.0 | 
|  |  | 
|  |  | 
|  | .. function:: radians() | 
|  |  | 
|  | Set the angle measurement units to radians.  Equivalent to | 
|  | ``degrees(2*math.pi)``. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.left(90) | 
|  | >>> turtle.heading() | 
|  | 90.0 | 
|  | >>> turtle.radians() | 
|  | >>> turtle.heading() | 
|  | 1.5707963267948966 | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.degrees(360) | 
|  |  | 
|  |  | 
|  | Pen control | 
|  | ----------- | 
|  |  | 
|  | Drawing state | 
|  | ~~~~~~~~~~~~~ | 
|  |  | 
|  | .. function:: pendown() | 
|  | pd() | 
|  | down() | 
|  |  | 
|  | Pull the pen down -- drawing when moving. | 
|  |  | 
|  |  | 
|  | .. function:: penup() | 
|  | pu() | 
|  | up() | 
|  |  | 
|  | Pull the pen up -- no drawing when moving. | 
|  |  | 
|  |  | 
|  | .. function:: pensize(width=None) | 
|  | width(width=None) | 
|  |  | 
|  | :param width: a positive number | 
|  |  | 
|  | Set the line thickness to *width* or return it.  If resizemode is set to | 
|  | "auto" and turtleshape is a polygon, that polygon is drawn with the same line | 
|  | thickness.  If no argument is given, the current pensize is returned. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.pensize() | 
|  | 1 | 
|  | >>> turtle.pensize(10)   # from here on lines of width 10 are drawn | 
|  |  | 
|  |  | 
|  | .. function:: pen(pen=None, **pendict) | 
|  |  | 
|  | :param pen: a dictionary with some or all of the below listed keys | 
|  | :param pendict: one or more keyword-arguments with the below listed keys as keywords | 
|  |  | 
|  | Return or set the pen's attributes in a "pen-dictionary" with the following | 
|  | key/value pairs: | 
|  |  | 
|  | * "shown": True/False | 
|  | * "pendown": True/False | 
|  | * "pencolor": color-string or color-tuple | 
|  | * "fillcolor": color-string or color-tuple | 
|  | * "pensize": positive number | 
|  | * "speed": number in range 0..10 | 
|  | * "resizemode": "auto" or "user" or "noresize" | 
|  | * "stretchfactor": (positive number, positive number) | 
|  | * "outline": positive number | 
|  | * "tilt": number | 
|  |  | 
|  | This dictionary can be used as argument for a subsequent call to :func:`pen` | 
|  | to restore the former pen-state.  Moreover one or more of these attributes | 
|  | can be provided as keyword-arguments.  This can be used to set several pen | 
|  | attributes in one statement. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :options: +NORMALIZE_WHITESPACE | 
|  |  | 
|  | >>> turtle.pen(fillcolor="black", pencolor="red", pensize=10) | 
|  | >>> sorted(turtle.pen().items()) | 
|  | [('fillcolor', 'black'), ('outline', 1), ('pencolor', 'red'), | 
|  | ('pendown', True), ('pensize', 10), ('resizemode', 'noresize'), | 
|  | ('shearfactor', 0.0), ('shown', True), ('speed', 9), | 
|  | ('stretchfactor', (1.0, 1.0)), ('tilt', 0.0)] | 
|  | >>> penstate=turtle.pen() | 
|  | >>> turtle.color("yellow", "") | 
|  | >>> turtle.penup() | 
|  | >>> sorted(turtle.pen().items())[:3] | 
|  | [('fillcolor', ''), ('outline', 1), ('pencolor', 'yellow')] | 
|  | >>> turtle.pen(penstate, fillcolor="green") | 
|  | >>> sorted(turtle.pen().items())[:3] | 
|  | [('fillcolor', 'green'), ('outline', 1), ('pencolor', 'red')] | 
|  |  | 
|  | .. function:: isdown() | 
|  |  | 
|  | Return ``True`` if pen is down, ``False`` if it's up. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.penup() | 
|  | >>> turtle.isdown() | 
|  | False | 
|  | >>> turtle.pendown() | 
|  | >>> turtle.isdown() | 
|  | True | 
|  |  | 
|  |  | 
|  | Color control | 
|  | ~~~~~~~~~~~~~ | 
|  |  | 
|  | .. function:: pencolor(*args) | 
|  |  | 
|  | Return or set the pencolor. | 
|  |  | 
|  | Four input formats are allowed: | 
|  |  | 
|  | ``pencolor()`` | 
|  | Return the current pencolor as color specification string or | 
|  | as a tuple (see example).  May be used as input to another | 
|  | color/pencolor/fillcolor call. | 
|  |  | 
|  | ``pencolor(colorstring)`` | 
|  | Set pencolor to *colorstring*, which is a Tk color specification string, | 
|  | such as ``"red"``, ``"yellow"``, or ``"#33cc8c"``. | 
|  |  | 
|  | ``pencolor((r, g, b))`` | 
|  | Set pencolor to the RGB color represented by the tuple of *r*, *g*, and | 
|  | *b*.  Each of *r*, *g*, and *b* must be in the range 0..colormode, where | 
|  | colormode is either 1.0 or 255 (see :func:`colormode`). | 
|  |  | 
|  | ``pencolor(r, g, b)`` | 
|  | Set pencolor to the RGB color represented by *r*, *g*, and *b*.  Each of | 
|  | *r*, *g*, and *b* must be in the range 0..colormode. | 
|  |  | 
|  | If turtleshape is a polygon, the outline of that polygon is drawn with the | 
|  | newly set pencolor. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> colormode() | 
|  | 1.0 | 
|  | >>> turtle.pencolor() | 
|  | 'red' | 
|  | >>> turtle.pencolor("brown") | 
|  | >>> turtle.pencolor() | 
|  | 'brown' | 
|  | >>> tup = (0.2, 0.8, 0.55) | 
|  | >>> turtle.pencolor(tup) | 
|  | >>> turtle.pencolor() | 
|  | (0.2, 0.8, 0.5490196078431373) | 
|  | >>> colormode(255) | 
|  | >>> turtle.pencolor() | 
|  | (51.0, 204.0, 140.0) | 
|  | >>> turtle.pencolor('#32c18f') | 
|  | >>> turtle.pencolor() | 
|  | (50.0, 193.0, 143.0) | 
|  |  | 
|  |  | 
|  | .. function:: fillcolor(*args) | 
|  |  | 
|  | Return or set the fillcolor. | 
|  |  | 
|  | Four input formats are allowed: | 
|  |  | 
|  | ``fillcolor()`` | 
|  | Return the current fillcolor as color specification string, possibly | 
|  | in tuple format (see example).  May be used as input to another | 
|  | color/pencolor/fillcolor call. | 
|  |  | 
|  | ``fillcolor(colorstring)`` | 
|  | Set fillcolor to *colorstring*, which is a Tk color specification string, | 
|  | such as ``"red"``, ``"yellow"``, or ``"#33cc8c"``. | 
|  |  | 
|  | ``fillcolor((r, g, b))`` | 
|  | Set fillcolor to the RGB color represented by the tuple of *r*, *g*, and | 
|  | *b*.  Each of *r*, *g*, and *b* must be in the range 0..colormode, where | 
|  | colormode is either 1.0 or 255 (see :func:`colormode`). | 
|  |  | 
|  | ``fillcolor(r, g, b)`` | 
|  | Set fillcolor to the RGB color represented by *r*, *g*, and *b*.  Each of | 
|  | *r*, *g*, and *b* must be in the range 0..colormode. | 
|  |  | 
|  | If turtleshape is a polygon, the interior of that polygon is drawn | 
|  | with the newly set fillcolor. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.fillcolor("violet") | 
|  | >>> turtle.fillcolor() | 
|  | 'violet' | 
|  | >>> turtle.pencolor() | 
|  | (50.0, 193.0, 143.0) | 
|  | >>> turtle.fillcolor((50, 193, 143))  # Integers, not floats | 
|  | >>> turtle.fillcolor() | 
|  | (50.0, 193.0, 143.0) | 
|  | >>> turtle.fillcolor('#ffffff') | 
|  | >>> turtle.fillcolor() | 
|  | (255.0, 255.0, 255.0) | 
|  |  | 
|  |  | 
|  | .. function:: color(*args) | 
|  |  | 
|  | Return or set pencolor and fillcolor. | 
|  |  | 
|  | Several input formats are allowed.  They use 0 to 3 arguments as | 
|  | follows: | 
|  |  | 
|  | ``color()`` | 
|  | Return the current pencolor and the current fillcolor as a pair of color | 
|  | specification strings or tuples as returned by :func:`pencolor` and | 
|  | :func:`fillcolor`. | 
|  |  | 
|  | ``color(colorstring)``, ``color((r,g,b))``, ``color(r,g,b)`` | 
|  | Inputs as in :func:`pencolor`, set both, fillcolor and pencolor, to the | 
|  | given value. | 
|  |  | 
|  | ``color(colorstring1, colorstring2)``, ``color((r1,g1,b1), (r2,g2,b2))`` | 
|  | Equivalent to ``pencolor(colorstring1)`` and ``fillcolor(colorstring2)`` | 
|  | and analogously if the other input format is used. | 
|  |  | 
|  | If turtleshape is a polygon, outline and interior of that polygon is drawn | 
|  | with the newly set colors. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.color("red", "green") | 
|  | >>> turtle.color() | 
|  | ('red', 'green') | 
|  | >>> color("#285078", "#a0c8f0") | 
|  | >>> color() | 
|  | ((40.0, 80.0, 120.0), (160.0, 200.0, 240.0)) | 
|  |  | 
|  |  | 
|  | See also: Screen method :func:`colormode`. | 
|  |  | 
|  |  | 
|  | Filling | 
|  | ~~~~~~~ | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> turtle.home() | 
|  |  | 
|  | .. function:: filling() | 
|  |  | 
|  | Return fillstate (``True`` if filling, ``False`` else). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.begin_fill() | 
|  | >>> if turtle.filling(): | 
|  | ...    turtle.pensize(5) | 
|  | ... else: | 
|  | ...    turtle.pensize(3) | 
|  |  | 
|  |  | 
|  |  | 
|  | .. function:: begin_fill() | 
|  |  | 
|  | To be called just before drawing a shape to be filled. | 
|  |  | 
|  |  | 
|  | .. function:: end_fill() | 
|  |  | 
|  | Fill the shape drawn after the last call to :func:`begin_fill`. | 
|  |  | 
|  | Whether or not overlap regions for self-intersecting polygons | 
|  | or multiple shapes are filled depends on the operating system graphics, | 
|  | type of overlap, and number of overlaps.  For example, the Turtle star | 
|  | above may be either all yellow or have some white regions. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.color("black", "red") | 
|  | >>> turtle.begin_fill() | 
|  | >>> turtle.circle(80) | 
|  | >>> turtle.end_fill() | 
|  |  | 
|  |  | 
|  | More drawing control | 
|  | ~~~~~~~~~~~~~~~~~~~~ | 
|  |  | 
|  | .. function:: reset() | 
|  |  | 
|  | Delete the turtle's drawings from the screen, re-center the turtle and set | 
|  | variables to the default values. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.goto(0,-22) | 
|  | >>> turtle.left(100) | 
|  | >>> turtle.position() | 
|  | (0.00,-22.00) | 
|  | >>> turtle.heading() | 
|  | 100.0 | 
|  | >>> turtle.reset() | 
|  | >>> turtle.position() | 
|  | (0.00,0.00) | 
|  | >>> turtle.heading() | 
|  | 0.0 | 
|  |  | 
|  |  | 
|  | .. function:: clear() | 
|  |  | 
|  | Delete the turtle's drawings from the screen.  Do not move turtle.  State and | 
|  | position of the turtle as well as drawings of other turtles are not affected. | 
|  |  | 
|  |  | 
|  | .. function:: write(arg, move=False, align="left", font=("Arial", 8, "normal")) | 
|  |  | 
|  | :param arg: object to be written to the TurtleScreen | 
|  | :param move: True/False | 
|  | :param align: one of the strings "left", "center" or right" | 
|  | :param font: a triple (fontname, fontsize, fonttype) | 
|  |  | 
|  | Write text - the string representation of *arg* - at the current turtle | 
|  | position according to *align* ("left", "center" or "right") and with the given | 
|  | font.  If *move* is true, the pen is moved to the bottom-right corner of the | 
|  | text.  By default, *move* is ``False``. | 
|  |  | 
|  | >>> turtle.write("Home = ", True, align="center") | 
|  | >>> turtle.write((0,0), True) | 
|  |  | 
|  |  | 
|  | Turtle state | 
|  | ------------ | 
|  |  | 
|  | Visibility | 
|  | ~~~~~~~~~~ | 
|  |  | 
|  | .. function:: hideturtle() | 
|  | ht() | 
|  |  | 
|  | Make the turtle invisible.  It's a good idea to do this while you're in the | 
|  | middle of doing some complex drawing, because hiding the turtle speeds up the | 
|  | drawing observably. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.hideturtle() | 
|  |  | 
|  |  | 
|  | .. function:: showturtle() | 
|  | st() | 
|  |  | 
|  | Make the turtle visible. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.showturtle() | 
|  |  | 
|  |  | 
|  | .. function:: isvisible() | 
|  |  | 
|  | Return ``True`` if the Turtle is shown, ``False`` if it's hidden. | 
|  |  | 
|  | >>> turtle.hideturtle() | 
|  | >>> turtle.isvisible() | 
|  | False | 
|  | >>> turtle.showturtle() | 
|  | >>> turtle.isvisible() | 
|  | True | 
|  |  | 
|  |  | 
|  | Appearance | 
|  | ~~~~~~~~~~ | 
|  |  | 
|  | .. function:: shape(name=None) | 
|  |  | 
|  | :param name: a string which is a valid shapename | 
|  |  | 
|  | Set turtle shape to shape with given *name* or, if name is not given, return | 
|  | name of current shape.  Shape with *name* must exist in the TurtleScreen's | 
|  | shape dictionary.  Initially there are the following polygon shapes: "arrow", | 
|  | "turtle", "circle", "square", "triangle", "classic".  To learn about how to | 
|  | deal with shapes see Screen method :func:`register_shape`. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.shape() | 
|  | 'classic' | 
|  | >>> turtle.shape("turtle") | 
|  | >>> turtle.shape() | 
|  | 'turtle' | 
|  |  | 
|  |  | 
|  | .. function:: resizemode(rmode=None) | 
|  |  | 
|  | :param rmode: one of the strings "auto", "user", "noresize" | 
|  |  | 
|  | Set resizemode to one of the values: "auto", "user", "noresize".  If *rmode* | 
|  | is not given, return current resizemode.  Different resizemodes have the | 
|  | following effects: | 
|  |  | 
|  | - "auto": adapts the appearance of the turtle corresponding to the value of pensize. | 
|  | - "user": adapts the appearance of the turtle according to the values of | 
|  | stretchfactor and outlinewidth (outline), which are set by | 
|  | :func:`shapesize`. | 
|  | - "noresize": no adaption of the turtle's appearance takes place. | 
|  |  | 
|  | ``resizemode("user")`` is called by :func:`shapesize` when used with arguments. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.resizemode() | 
|  | 'noresize' | 
|  | >>> turtle.resizemode("auto") | 
|  | >>> turtle.resizemode() | 
|  | 'auto' | 
|  |  | 
|  |  | 
|  | .. function:: shapesize(stretch_wid=None, stretch_len=None, outline=None) | 
|  | turtlesize(stretch_wid=None, stretch_len=None, outline=None) | 
|  |  | 
|  | :param stretch_wid: positive number | 
|  | :param stretch_len: positive number | 
|  | :param outline: positive number | 
|  |  | 
|  | Return or set the pen's attributes x/y-stretchfactors and/or outline.  Set | 
|  | resizemode to "user".  If and only if resizemode is set to "user", the turtle | 
|  | will be displayed stretched according to its stretchfactors: *stretch_wid* is | 
|  | stretchfactor perpendicular to its orientation, *stretch_len* is | 
|  | stretchfactor in direction of its orientation, *outline* determines the width | 
|  | of the shapes's outline. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.shapesize() | 
|  | (1.0, 1.0, 1) | 
|  | >>> turtle.resizemode("user") | 
|  | >>> turtle.shapesize(5, 5, 12) | 
|  | >>> turtle.shapesize() | 
|  | (5, 5, 12) | 
|  | >>> turtle.shapesize(outline=8) | 
|  | >>> turtle.shapesize() | 
|  | (5, 5, 8) | 
|  |  | 
|  |  | 
|  | .. function:: shearfactor(shear=None) | 
|  |  | 
|  | :param shear: number (optional) | 
|  |  | 
|  | Set or return the current shearfactor. Shear the turtleshape according to | 
|  | the given shearfactor shear, which is the tangent of the shear angle. | 
|  | Do *not* change the turtle's heading (direction of movement). | 
|  | If shear is not given: return the current shearfactor, i. e. the | 
|  | tangent of the shear angle, by which lines parallel to the | 
|  | heading of the turtle are sheared. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.shape("circle") | 
|  | >>> turtle.shapesize(5,2) | 
|  | >>> turtle.shearfactor(0.5) | 
|  | >>> turtle.shearfactor() | 
|  | 0.5 | 
|  |  | 
|  |  | 
|  | .. function:: tilt(angle) | 
|  |  | 
|  | :param angle: a number | 
|  |  | 
|  | Rotate the turtleshape by *angle* from its current tilt-angle, but do *not* | 
|  | change the turtle's heading (direction of movement). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.reset() | 
|  | >>> turtle.shape("circle") | 
|  | >>> turtle.shapesize(5,2) | 
|  | >>> turtle.tilt(30) | 
|  | >>> turtle.fd(50) | 
|  | >>> turtle.tilt(30) | 
|  | >>> turtle.fd(50) | 
|  |  | 
|  |  | 
|  | .. function:: settiltangle(angle) | 
|  |  | 
|  | :param angle: a number | 
|  |  | 
|  | Rotate the turtleshape to point in the direction specified by *angle*, | 
|  | regardless of its current tilt-angle.  *Do not* change the turtle's heading | 
|  | (direction of movement). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None or 'always; deprecated method' | 
|  |  | 
|  | >>> turtle.reset() | 
|  | >>> turtle.shape("circle") | 
|  | >>> turtle.shapesize(5,2) | 
|  | >>> turtle.settiltangle(45) | 
|  | >>> turtle.fd(50) | 
|  | >>> turtle.settiltangle(-45) | 
|  | >>> turtle.fd(50) | 
|  |  | 
|  | .. deprecated:: 3.1 | 
|  |  | 
|  |  | 
|  | .. function:: tiltangle(angle=None) | 
|  |  | 
|  | :param angle: a number (optional) | 
|  |  | 
|  | Set or return the current tilt-angle. If angle is given, rotate the | 
|  | turtleshape to point in the direction specified by angle, | 
|  | regardless of its current tilt-angle. Do *not* change the turtle's | 
|  | heading (direction of movement). | 
|  | If angle is not given: return the current tilt-angle, i. e. the angle | 
|  | between the orientation of the turtleshape and the heading of the | 
|  | turtle (its direction of movement). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.reset() | 
|  | >>> turtle.shape("circle") | 
|  | >>> turtle.shapesize(5,2) | 
|  | >>> turtle.tilt(45) | 
|  | >>> turtle.tiltangle() | 
|  | 45.0 | 
|  |  | 
|  |  | 
|  | .. function:: shapetransform(t11=None, t12=None, t21=None, t22=None) | 
|  |  | 
|  | :param t11: a number (optional) | 
|  | :param t12: a number (optional) | 
|  | :param t21: a number (optional) | 
|  | :param t12: a number (optional) | 
|  |  | 
|  | Set or return the current transformation matrix of the turtle shape. | 
|  |  | 
|  | If none of the matrix elements are given, return the transformation | 
|  | matrix as a tuple of 4 elements. | 
|  | Otherwise set the given elements and transform the turtleshape | 
|  | according to the matrix consisting of first row t11, t12 and | 
|  | second row t21, t22. The determinant t11 * t22 - t12 * t21 must not be | 
|  | zero, otherwise an error is raised. | 
|  | Modify stretchfactor, shearfactor and tiltangle according to the | 
|  | given matrix. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle = Turtle() | 
|  | >>> turtle.shape("square") | 
|  | >>> turtle.shapesize(4,2) | 
|  | >>> turtle.shearfactor(-0.5) | 
|  | >>> turtle.shapetransform() | 
|  | (4.0, -1.0, -0.0, 2.0) | 
|  |  | 
|  |  | 
|  | .. function:: get_shapepoly() | 
|  |  | 
|  | Return the current shape polygon as tuple of coordinate pairs. This | 
|  | can be used to define a new shape or components of a compound shape. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.shape("square") | 
|  | >>> turtle.shapetransform(4, -1, 0, 2) | 
|  | >>> turtle.get_shapepoly() | 
|  | ((50, -20), (30, 20), (-50, 20), (-30, -20)) | 
|  |  | 
|  |  | 
|  | Using events | 
|  | ------------ | 
|  |  | 
|  | .. function:: onclick(fun, btn=1, add=None) | 
|  | :noindex: | 
|  |  | 
|  | :param fun: a function with two arguments which will be called with the | 
|  | coordinates of the clicked point on the canvas | 
|  | :param btn: number of the mouse-button, defaults to 1 (left mouse button) | 
|  | :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
|  | added, otherwise it will replace a former binding | 
|  |  | 
|  | Bind *fun* to mouse-click events on this turtle.  If *fun* is ``None``, | 
|  | existing bindings are removed.  Example for the anonymous turtle, i.e. the | 
|  | procedural way: | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> def turn(x, y): | 
|  | ...     left(180) | 
|  | ... | 
|  | >>> onclick(turn)  # Now clicking into the turtle will turn it. | 
|  | >>> onclick(None)  # event-binding will be removed | 
|  |  | 
|  |  | 
|  | .. function:: onrelease(fun, btn=1, add=None) | 
|  |  | 
|  | :param fun: a function with two arguments which will be called with the | 
|  | coordinates of the clicked point on the canvas | 
|  | :param btn: number of the mouse-button, defaults to 1 (left mouse button) | 
|  | :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
|  | added, otherwise it will replace a former binding | 
|  |  | 
|  | Bind *fun* to mouse-button-release events on this turtle.  If *fun* is | 
|  | ``None``, existing bindings are removed. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> class MyTurtle(Turtle): | 
|  | ...     def glow(self,x,y): | 
|  | ...         self.fillcolor("red") | 
|  | ...     def unglow(self,x,y): | 
|  | ...         self.fillcolor("") | 
|  | ... | 
|  | >>> turtle = MyTurtle() | 
|  | >>> turtle.onclick(turtle.glow)     # clicking on turtle turns fillcolor red, | 
|  | >>> turtle.onrelease(turtle.unglow) # releasing turns it to transparent. | 
|  |  | 
|  |  | 
|  | .. function:: ondrag(fun, btn=1, add=None) | 
|  |  | 
|  | :param fun: a function with two arguments which will be called with the | 
|  | coordinates of the clicked point on the canvas | 
|  | :param btn: number of the mouse-button, defaults to 1 (left mouse button) | 
|  | :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
|  | added, otherwise it will replace a former binding | 
|  |  | 
|  | Bind *fun* to mouse-move events on this turtle.  If *fun* is ``None``, | 
|  | existing bindings are removed. | 
|  |  | 
|  | Remark: Every sequence of mouse-move-events on a turtle is preceded by a | 
|  | mouse-click event on that turtle. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.ondrag(turtle.goto) | 
|  |  | 
|  | Subsequently, clicking and dragging the Turtle will move it across | 
|  | the screen thereby producing handdrawings (if pen is down). | 
|  |  | 
|  |  | 
|  | Special Turtle methods | 
|  | ---------------------- | 
|  |  | 
|  | .. function:: begin_poly() | 
|  |  | 
|  | Start recording the vertices of a polygon.  Current turtle position is first | 
|  | vertex of polygon. | 
|  |  | 
|  |  | 
|  | .. function:: end_poly() | 
|  |  | 
|  | Stop recording the vertices of a polygon.  Current turtle position is last | 
|  | vertex of polygon.  This will be connected with the first vertex. | 
|  |  | 
|  |  | 
|  | .. function:: get_poly() | 
|  |  | 
|  | Return the last recorded polygon. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.home() | 
|  | >>> turtle.begin_poly() | 
|  | >>> turtle.fd(100) | 
|  | >>> turtle.left(20) | 
|  | >>> turtle.fd(30) | 
|  | >>> turtle.left(60) | 
|  | >>> turtle.fd(50) | 
|  | >>> turtle.end_poly() | 
|  | >>> p = turtle.get_poly() | 
|  | >>> register_shape("myFavouriteShape", p) | 
|  |  | 
|  |  | 
|  | .. function:: clone() | 
|  |  | 
|  | Create and return a clone of the turtle with same position, heading and | 
|  | turtle properties. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> mick = Turtle() | 
|  | >>> joe = mick.clone() | 
|  |  | 
|  |  | 
|  | .. function:: getturtle() | 
|  | getpen() | 
|  |  | 
|  | Return the Turtle object itself.  Only reasonable use: as a function to | 
|  | return the "anonymous turtle": | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> pet = getturtle() | 
|  | >>> pet.fd(50) | 
|  | >>> pet | 
|  | <turtle.Turtle object at 0x...> | 
|  |  | 
|  |  | 
|  | .. function:: getscreen() | 
|  |  | 
|  | Return the :class:`TurtleScreen` object the turtle is drawing on. | 
|  | TurtleScreen methods can then be called for that object. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> ts = turtle.getscreen() | 
|  | >>> ts | 
|  | <turtle._Screen object at 0x...> | 
|  | >>> ts.bgcolor("pink") | 
|  |  | 
|  |  | 
|  | .. function:: setundobuffer(size) | 
|  |  | 
|  | :param size: an integer or ``None`` | 
|  |  | 
|  | Set or disable undobuffer.  If *size* is an integer, an empty undobuffer of | 
|  | given size is installed.  *size* gives the maximum number of turtle actions | 
|  | that can be undone by the :func:`undo` method/function.  If *size* is | 
|  | ``None``, the undobuffer is disabled. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> turtle.setundobuffer(42) | 
|  |  | 
|  |  | 
|  | .. function:: undobufferentries() | 
|  |  | 
|  | Return number of entries in the undobuffer. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> while undobufferentries(): | 
|  | ...     undo() | 
|  |  | 
|  |  | 
|  |  | 
|  | .. _compoundshapes: | 
|  |  | 
|  | Compound shapes | 
|  | --------------- | 
|  |  | 
|  | To use compound turtle shapes, which consist of several polygons of different | 
|  | color, you must use the helper class :class:`Shape` explicitly as described | 
|  | below: | 
|  |  | 
|  | 1. Create an empty Shape object of type "compound". | 
|  | 2. Add as many components to this object as desired, using the | 
|  | :meth:`addcomponent` method. | 
|  |  | 
|  | For example: | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> s = Shape("compound") | 
|  | >>> poly1 = ((0,0),(10,-5),(0,10),(-10,-5)) | 
|  | >>> s.addcomponent(poly1, "red", "blue") | 
|  | >>> poly2 = ((0,0),(10,-5),(-10,-5)) | 
|  | >>> s.addcomponent(poly2, "blue", "red") | 
|  |  | 
|  | 3. Now add the Shape to the Screen's shapelist and use it: | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> register_shape("myshape", s) | 
|  | >>> shape("myshape") | 
|  |  | 
|  |  | 
|  | .. note:: | 
|  |  | 
|  | The :class:`Shape` class is used internally by the :func:`register_shape` | 
|  | method in different ways.  The application programmer has to deal with the | 
|  | Shape class *only* when using compound shapes like shown above! | 
|  |  | 
|  |  | 
|  | Methods of TurtleScreen/Screen and corresponding functions | 
|  | ========================================================== | 
|  |  | 
|  | Most of the examples in this section refer to a TurtleScreen instance called | 
|  | ``screen``. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> screen = Screen() | 
|  |  | 
|  | Window control | 
|  | -------------- | 
|  |  | 
|  | .. function:: bgcolor(*args) | 
|  |  | 
|  | :param args: a color string or three numbers in the range 0..colormode or a | 
|  | 3-tuple of such numbers | 
|  |  | 
|  |  | 
|  | Set or return background color of the TurtleScreen. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.bgcolor("orange") | 
|  | >>> screen.bgcolor() | 
|  | 'orange' | 
|  | >>> screen.bgcolor("#800080") | 
|  | >>> screen.bgcolor() | 
|  | (128.0, 0.0, 128.0) | 
|  |  | 
|  |  | 
|  | .. function:: bgpic(picname=None) | 
|  |  | 
|  | :param picname: a string, name of a gif-file or ``"nopic"``, or ``None`` | 
|  |  | 
|  | Set background image or return name of current backgroundimage.  If *picname* | 
|  | is a filename, set the corresponding image as background.  If *picname* is | 
|  | ``"nopic"``, delete background image, if present.  If *picname* is ``None``, | 
|  | return the filename of the current backgroundimage. :: | 
|  |  | 
|  | >>> screen.bgpic() | 
|  | 'nopic' | 
|  | >>> screen.bgpic("landscape.gif") | 
|  | >>> screen.bgpic() | 
|  | "landscape.gif" | 
|  |  | 
|  |  | 
|  | .. function:: clear() | 
|  | :noindex: | 
|  |  | 
|  | .. note:: | 
|  | This TurtleScreen method is available as a global function only under the | 
|  | name ``clearscreen``.  The global function ``clear`` is a different one | 
|  | derived from the Turtle method ``clear``. | 
|  |  | 
|  |  | 
|  | .. function:: clearscreen() | 
|  |  | 
|  | Delete all drawings and all turtles from the TurtleScreen.  Reset the now | 
|  | empty TurtleScreen to its initial state: white background, no background | 
|  | image, no event bindings and tracing on. | 
|  |  | 
|  |  | 
|  | .. function:: reset() | 
|  | :noindex: | 
|  |  | 
|  | .. note:: | 
|  | This TurtleScreen method is available as a global function only under the | 
|  | name ``resetscreen``.  The global function ``reset`` is another one | 
|  | derived from the Turtle method ``reset``. | 
|  |  | 
|  |  | 
|  | .. function:: resetscreen() | 
|  |  | 
|  | Reset all Turtles on the Screen to their initial state. | 
|  |  | 
|  |  | 
|  | .. function:: screensize(canvwidth=None, canvheight=None, bg=None) | 
|  |  | 
|  | :param canvwidth: positive integer, new width of canvas in pixels | 
|  | :param canvheight: positive integer, new height of canvas in pixels | 
|  | :param bg: colorstring or color-tuple, new background color | 
|  |  | 
|  | If no arguments are given, return current (canvaswidth, canvasheight).  Else | 
|  | resize the canvas the turtles are drawing on.  Do not alter the drawing | 
|  | window.  To observe hidden parts of the canvas, use the scrollbars. With this | 
|  | method, one can make visible those parts of a drawing which were outside the | 
|  | canvas before. | 
|  |  | 
|  | >>> screen.screensize() | 
|  | (400, 300) | 
|  | >>> screen.screensize(2000,1500) | 
|  | >>> screen.screensize() | 
|  | (2000, 1500) | 
|  |  | 
|  | e.g. to search for an erroneously escaped turtle ;-) | 
|  |  | 
|  |  | 
|  | .. function:: setworldcoordinates(llx, lly, urx, ury) | 
|  |  | 
|  | :param llx: a number, x-coordinate of lower left corner of canvas | 
|  | :param lly: a number, y-coordinate of lower left corner of canvas | 
|  | :param urx: a number, x-coordinate of upper right corner of canvas | 
|  | :param ury: a number, y-coordinate of upper right corner of canvas | 
|  |  | 
|  | Set up user-defined coordinate system and switch to mode "world" if | 
|  | necessary.  This performs a ``screen.reset()``.  If mode "world" is already | 
|  | active, all drawings are redrawn according to the new coordinates. | 
|  |  | 
|  | **ATTENTION**: in user-defined coordinate systems angles may appear | 
|  | distorted. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.reset() | 
|  | >>> screen.setworldcoordinates(-50,-7.5,50,7.5) | 
|  | >>> for _ in range(72): | 
|  | ...     left(10) | 
|  | ... | 
|  | >>> for _ in range(8): | 
|  | ...     left(45); fd(2)   # a regular octagon | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> screen.reset() | 
|  | >>> for t in turtles(): | 
|  | ...      t.reset() | 
|  |  | 
|  |  | 
|  | Animation control | 
|  | ----------------- | 
|  |  | 
|  | .. function:: delay(delay=None) | 
|  |  | 
|  | :param delay: positive integer | 
|  |  | 
|  | Set or return the drawing *delay* in milliseconds.  (This is approximately | 
|  | the time interval between two consecutive canvas updates.)  The longer the | 
|  | drawing delay, the slower the animation. | 
|  |  | 
|  | Optional argument: | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.delay() | 
|  | 10 | 
|  | >>> screen.delay(5) | 
|  | >>> screen.delay() | 
|  | 5 | 
|  |  | 
|  |  | 
|  | .. function:: tracer(n=None, delay=None) | 
|  |  | 
|  | :param n: nonnegative integer | 
|  | :param delay: nonnegative integer | 
|  |  | 
|  | Turn turtle animation on/off and set delay for update drawings.  If | 
|  | *n* is given, only each n-th regular screen update is really | 
|  | performed.  (Can be used to accelerate the drawing of complex | 
|  | graphics.)  When called without arguments, returns the currently | 
|  | stored value of n. Second argument sets delay value (see | 
|  | :func:`delay`). | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.tracer(8, 25) | 
|  | >>> dist = 2 | 
|  | >>> for i in range(200): | 
|  | ...     fd(dist) | 
|  | ...     rt(90) | 
|  | ...     dist += 2 | 
|  |  | 
|  |  | 
|  | .. function:: update() | 
|  |  | 
|  | Perform a TurtleScreen update. To be used when tracer is turned off. | 
|  |  | 
|  | See also the RawTurtle/Turtle method :func:`speed`. | 
|  |  | 
|  |  | 
|  | Using screen events | 
|  | ------------------- | 
|  |  | 
|  | .. function:: listen(xdummy=None, ydummy=None) | 
|  |  | 
|  | Set focus on TurtleScreen (in order to collect key-events).  Dummy arguments | 
|  | are provided in order to be able to pass :func:`listen` to the onclick method. | 
|  |  | 
|  |  | 
|  | .. function:: onkey(fun, key) | 
|  | onkeyrelease(fun, key) | 
|  |  | 
|  | :param fun: a function with no arguments or ``None`` | 
|  | :param key: a string: key (e.g. "a") or key-symbol (e.g. "space") | 
|  |  | 
|  | Bind *fun* to key-release event of key.  If *fun* is ``None``, event bindings | 
|  | are removed. Remark: in order to be able to register key-events, TurtleScreen | 
|  | must have the focus. (See method :func:`listen`.) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> def f(): | 
|  | ...     fd(50) | 
|  | ...     lt(60) | 
|  | ... | 
|  | >>> screen.onkey(f, "Up") | 
|  | >>> screen.listen() | 
|  |  | 
|  |  | 
|  | .. function:: onkeypress(fun, key=None) | 
|  |  | 
|  | :param fun: a function with no arguments or ``None`` | 
|  | :param key: a string: key (e.g. "a") or key-symbol (e.g. "space") | 
|  |  | 
|  | Bind *fun* to key-press event of key if key is given, | 
|  | or to any key-press-event if no key is given. | 
|  | Remark: in order to be able to register key-events, TurtleScreen | 
|  | must have focus. (See method :func:`listen`.) | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> def f(): | 
|  | ...     fd(50) | 
|  | ... | 
|  | >>> screen.onkey(f, "Up") | 
|  | >>> screen.listen() | 
|  |  | 
|  |  | 
|  | .. function:: onclick(fun, btn=1, add=None) | 
|  | onscreenclick(fun, btn=1, add=None) | 
|  |  | 
|  | :param fun: a function with two arguments which will be called with the | 
|  | coordinates of the clicked point on the canvas | 
|  | :param btn: number of the mouse-button, defaults to 1 (left mouse button) | 
|  | :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
|  | added, otherwise it will replace a former binding | 
|  |  | 
|  | Bind *fun* to mouse-click events on this screen.  If *fun* is ``None``, | 
|  | existing bindings are removed. | 
|  |  | 
|  | Example for a TurtleScreen instance named ``screen`` and a Turtle instance | 
|  | named ``turtle``: | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.onclick(turtle.goto) # Subsequently clicking into the TurtleScreen will | 
|  | >>>                             # make the turtle move to the clicked point. | 
|  | >>> screen.onclick(None)        # remove event binding again | 
|  |  | 
|  | .. note:: | 
|  | This TurtleScreen method is available as a global function only under the | 
|  | name ``onscreenclick``.  The global function ``onclick`` is another one | 
|  | derived from the Turtle method ``onclick``. | 
|  |  | 
|  |  | 
|  | .. function:: ontimer(fun, t=0) | 
|  |  | 
|  | :param fun: a function with no arguments | 
|  | :param t: a number >= 0 | 
|  |  | 
|  | Install a timer that calls *fun* after *t* milliseconds. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> running = True | 
|  | >>> def f(): | 
|  | ...     if running: | 
|  | ...         fd(50) | 
|  | ...         lt(60) | 
|  | ...         screen.ontimer(f, 250) | 
|  | >>> f()   ### makes the turtle march around | 
|  | >>> running = False | 
|  |  | 
|  |  | 
|  | .. function:: mainloop() | 
|  | done() | 
|  |  | 
|  | Starts event loop - calling Tkinter's mainloop function. | 
|  | Must be the last statement in a turtle graphics program. | 
|  | Must *not* be used if a script is run from within IDLE in -n mode | 
|  | (No subprocess) - for interactive use of turtle graphics. :: | 
|  |  | 
|  | >>> screen.mainloop() | 
|  |  | 
|  |  | 
|  | Input methods | 
|  | ------------- | 
|  |  | 
|  | .. function:: textinput(title, prompt) | 
|  |  | 
|  | :param title: string | 
|  | :param prompt: string | 
|  |  | 
|  | Pop up a dialog window for input of a string. Parameter title is | 
|  | the title of the dialog window, prompt is a text mostly describing | 
|  | what information to input. | 
|  | Return the string input. If the dialog is canceled, return ``None``. :: | 
|  |  | 
|  | >>> screen.textinput("NIM", "Name of first player:") | 
|  |  | 
|  |  | 
|  | .. function:: numinput(title, prompt, default=None, minval=None, maxval=None) | 
|  |  | 
|  | :param title: string | 
|  | :param prompt: string | 
|  | :param default: number (optional) | 
|  | :param minval: number (optional) | 
|  | :param maxval: number (optional) | 
|  |  | 
|  | Pop up a dialog window for input of a number. title is the title of the | 
|  | dialog window, prompt is a text mostly describing what numerical information | 
|  | to input. default: default value, minval: minimum value for input, | 
|  | maxval: maximum value for input. | 
|  | The number input must be in the range minval .. maxval if these are | 
|  | given. If not, a hint is issued and the dialog remains open for | 
|  | correction. | 
|  | Return the number input. If the dialog is canceled,  return ``None``. :: | 
|  |  | 
|  | >>> screen.numinput("Poker", "Your stakes:", 1000, minval=10, maxval=10000) | 
|  |  | 
|  |  | 
|  | Settings and special methods | 
|  | ---------------------------- | 
|  |  | 
|  | .. function:: mode(mode=None) | 
|  |  | 
|  | :param mode: one of the strings "standard", "logo" or "world" | 
|  |  | 
|  | Set turtle mode ("standard", "logo" or "world") and perform reset.  If mode | 
|  | is not given, current mode is returned. | 
|  |  | 
|  | Mode "standard" is compatible with old :mod:`turtle`.  Mode "logo" is | 
|  | compatible with most Logo turtle graphics.  Mode "world" uses user-defined | 
|  | "world coordinates". **Attention**: in this mode angles appear distorted if | 
|  | ``x/y`` unit-ratio doesn't equal 1. | 
|  |  | 
|  | ============ ========================= =================== | 
|  | Mode      Initial turtle heading     positive angles | 
|  | ============ ========================= =================== | 
|  | "standard"    to the right (east)       counterclockwise | 
|  | "logo"        upward    (north)         clockwise | 
|  | ============ ========================= =================== | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> mode("logo")   # resets turtle heading to north | 
|  | >>> mode() | 
|  | 'logo' | 
|  |  | 
|  |  | 
|  | .. function:: colormode(cmode=None) | 
|  |  | 
|  | :param cmode: one of the values 1.0 or 255 | 
|  |  | 
|  | Return the colormode or set it to 1.0 or 255.  Subsequently *r*, *g*, *b* | 
|  | values of color triples have to be in the range 0..*cmode*. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.colormode(1) | 
|  | >>> turtle.pencolor(240, 160, 80) | 
|  | Traceback (most recent call last): | 
|  | ... | 
|  | TurtleGraphicsError: bad color sequence: (240, 160, 80) | 
|  | >>> screen.colormode() | 
|  | 1.0 | 
|  | >>> screen.colormode(255) | 
|  | >>> screen.colormode() | 
|  | 255 | 
|  | >>> turtle.pencolor(240,160,80) | 
|  |  | 
|  |  | 
|  | .. function:: getcanvas() | 
|  |  | 
|  | Return the Canvas of this TurtleScreen.  Useful for insiders who know what to | 
|  | do with a Tkinter Canvas. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> cv = screen.getcanvas() | 
|  | >>> cv | 
|  | <turtle.ScrolledCanvas object ...> | 
|  |  | 
|  |  | 
|  | .. function:: getshapes() | 
|  |  | 
|  | Return a list of names of all currently available turtle shapes. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.getshapes() | 
|  | ['arrow', 'blank', 'circle', ..., 'turtle'] | 
|  |  | 
|  |  | 
|  | .. function:: register_shape(name, shape=None) | 
|  | addshape(name, shape=None) | 
|  |  | 
|  | There are three different ways to call this function: | 
|  |  | 
|  | (1) *name* is the name of a gif-file and *shape* is ``None``: Install the | 
|  | corresponding image shape. :: | 
|  |  | 
|  | >>> screen.register_shape("turtle.gif") | 
|  |  | 
|  | .. note:: | 
|  | Image shapes *do not* rotate when turning the turtle, so they do not | 
|  | display the heading of the turtle! | 
|  |  | 
|  | (2) *name* is an arbitrary string and *shape* is a tuple of pairs of | 
|  | coordinates: Install the corresponding polygon shape. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.register_shape("triangle", ((5,-3), (0,5), (-5,-3))) | 
|  |  | 
|  | (3) *name* is an arbitrary string and *shape* is a (compound) :class:`Shape` | 
|  | object: Install the corresponding compound shape. | 
|  |  | 
|  | Add a turtle shape to TurtleScreen's shapelist.  Only thusly registered | 
|  | shapes can be used by issuing the command ``shape(shapename)``. | 
|  |  | 
|  |  | 
|  | .. function:: turtles() | 
|  |  | 
|  | Return the list of turtles on the screen. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> for turtle in screen.turtles(): | 
|  | ...     turtle.color("red") | 
|  |  | 
|  |  | 
|  | .. function:: window_height() | 
|  |  | 
|  | Return the height of the turtle window. :: | 
|  |  | 
|  | >>> screen.window_height() | 
|  | 480 | 
|  |  | 
|  |  | 
|  | .. function:: window_width() | 
|  |  | 
|  | Return the width of the turtle window. :: | 
|  |  | 
|  | >>> screen.window_width() | 
|  | 640 | 
|  |  | 
|  |  | 
|  | .. _screenspecific: | 
|  |  | 
|  | Methods specific to Screen, not inherited from TurtleScreen | 
|  | ----------------------------------------------------------- | 
|  |  | 
|  | .. function:: bye() | 
|  |  | 
|  | Shut the turtlegraphics window. | 
|  |  | 
|  |  | 
|  | .. function:: exitonclick() | 
|  |  | 
|  | Bind ``bye()`` method to mouse clicks on the Screen. | 
|  |  | 
|  |  | 
|  | If the value "using_IDLE" in the configuration dictionary is ``False`` | 
|  | (default value), also enter mainloop.  Remark: If IDLE with the ``-n`` switch | 
|  | (no subprocess) is used, this value should be set to ``True`` in | 
|  | :file:`turtle.cfg`.  In this case IDLE's own mainloop is active also for the | 
|  | client script. | 
|  |  | 
|  |  | 
|  | .. function:: setup(width=_CFG["width"], height=_CFG["height"], startx=_CFG["leftright"], starty=_CFG["topbottom"]) | 
|  |  | 
|  | Set the size and position of the main window.  Default values of arguments | 
|  | are stored in the configuration dictionary and can be changed via a | 
|  | :file:`turtle.cfg` file. | 
|  |  | 
|  | :param width: if an integer, a size in pixels, if a float, a fraction of the | 
|  | screen; default is 50% of screen | 
|  | :param height: if an integer, the height in pixels, if a float, a fraction of | 
|  | the screen; default is 75% of screen | 
|  | :param startx: if positive, starting position in pixels from the left | 
|  | edge of the screen, if negative from the right edge, if ``None``, | 
|  | center window horizontally | 
|  | :param starty: if positive, starting position in pixels from the top | 
|  | edge of the screen, if negative from the bottom edge, if ``None``, | 
|  | center window vertically | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.setup (width=200, height=200, startx=0, starty=0) | 
|  | >>>              # sets window to 200x200 pixels, in upper left of screen | 
|  | >>> screen.setup(width=.75, height=0.5, startx=None, starty=None) | 
|  | >>>              # sets window to 75% of screen by 50% of screen and centers | 
|  |  | 
|  |  | 
|  | .. function:: title(titlestring) | 
|  |  | 
|  | :param titlestring: a string that is shown in the titlebar of the turtle | 
|  | graphics window | 
|  |  | 
|  | Set title of turtle window to *titlestring*. | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> screen.title("Welcome to the turtle zoo!") | 
|  |  | 
|  |  | 
|  | Public classes | 
|  | ============== | 
|  |  | 
|  |  | 
|  | .. class:: RawTurtle(canvas) | 
|  | RawPen(canvas) | 
|  |  | 
|  | :param canvas: a :class:`tkinter.Canvas`, a :class:`ScrolledCanvas` or a | 
|  | :class:`TurtleScreen` | 
|  |  | 
|  | Create a turtle.  The turtle has all methods described above as "methods of | 
|  | Turtle/RawTurtle". | 
|  |  | 
|  |  | 
|  | .. class:: Turtle() | 
|  |  | 
|  | Subclass of RawTurtle, has the same interface but draws on a default | 
|  | :class:`Screen` object created automatically when needed for the first time. | 
|  |  | 
|  |  | 
|  | .. class:: TurtleScreen(cv) | 
|  |  | 
|  | :param cv: a :class:`tkinter.Canvas` | 
|  |  | 
|  | Provides screen oriented methods like :func:`setbg` etc. that are described | 
|  | above. | 
|  |  | 
|  | .. class:: Screen() | 
|  |  | 
|  | Subclass of TurtleScreen, with :ref:`four methods added <screenspecific>`. | 
|  |  | 
|  |  | 
|  | .. class:: ScrolledCanvas(master) | 
|  |  | 
|  | :param master: some Tkinter widget to contain the ScrolledCanvas, i.e. | 
|  | a Tkinter-canvas with scrollbars added | 
|  |  | 
|  | Used by class Screen, which thus automatically provides a ScrolledCanvas as | 
|  | playground for the turtles. | 
|  |  | 
|  | .. class:: Shape(type_, data) | 
|  |  | 
|  | :param type\_: one of the strings "polygon", "image", "compound" | 
|  |  | 
|  | Data structure modeling shapes.  The pair ``(type_, data)`` must follow this | 
|  | specification: | 
|  |  | 
|  |  | 
|  | =========== =========== | 
|  | *type_*     *data* | 
|  | =========== =========== | 
|  | "polygon"   a polygon-tuple, i.e. a tuple of pairs of coordinates | 
|  | "image"     an image  (in this form only used internally!) | 
|  | "compound"  ``None`` (a compound shape has to be constructed using the | 
|  | :meth:`addcomponent` method) | 
|  | =========== =========== | 
|  |  | 
|  | .. method:: addcomponent(poly, fill, outline=None) | 
|  |  | 
|  | :param poly: a polygon, i.e. a tuple of pairs of numbers | 
|  | :param fill: a color the *poly* will be filled with | 
|  | :param outline: a color for the poly's outline (if given) | 
|  |  | 
|  | Example: | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  |  | 
|  | >>> poly = ((0,0),(10,-5),(0,10),(-10,-5)) | 
|  | >>> s = Shape("compound") | 
|  | >>> s.addcomponent(poly, "red", "blue") | 
|  | >>> # ... add more components and then use register_shape() | 
|  |  | 
|  | See :ref:`compoundshapes`. | 
|  |  | 
|  |  | 
|  | .. class:: Vec2D(x, y) | 
|  |  | 
|  | A two-dimensional vector class, used as a helper class for implementing | 
|  | turtle graphics.  May be useful for turtle graphics programs too.  Derived | 
|  | from tuple, so a vector is a tuple! | 
|  |  | 
|  | Provides (for *a*, *b* vectors, *k* number): | 
|  |  | 
|  | * ``a + b`` vector addition | 
|  | * ``a - b`` vector subtraction | 
|  | * ``a * b`` inner product | 
|  | * ``k * a`` and ``a * k`` multiplication with scalar | 
|  | * ``abs(a)`` absolute value of a | 
|  | * ``a.rotate(angle)`` rotation | 
|  |  | 
|  |  | 
|  | Help and configuration | 
|  | ====================== | 
|  |  | 
|  | How to use help | 
|  | --------------- | 
|  |  | 
|  | The public methods of the Screen and Turtle classes are documented extensively | 
|  | via docstrings.  So these can be used as online-help via the Python help | 
|  | facilities: | 
|  |  | 
|  | - When using IDLE, tooltips show the signatures and first lines of the | 
|  | docstrings of typed in function-/method calls. | 
|  |  | 
|  | - Calling :func:`help` on methods or functions displays the docstrings:: | 
|  |  | 
|  | >>> help(Screen.bgcolor) | 
|  | Help on method bgcolor in module turtle: | 
|  |  | 
|  | bgcolor(self, *args) unbound turtle.Screen method | 
|  | Set or return backgroundcolor of the TurtleScreen. | 
|  |  | 
|  | Arguments (if given): a color string or three numbers | 
|  | in the range 0..colormode or a 3-tuple of such numbers. | 
|  |  | 
|  |  | 
|  | >>> screen.bgcolor("orange") | 
|  | >>> screen.bgcolor() | 
|  | "orange" | 
|  | >>> screen.bgcolor(0.5,0,0.5) | 
|  | >>> screen.bgcolor() | 
|  | "#800080" | 
|  |  | 
|  | >>> help(Turtle.penup) | 
|  | Help on method penup in module turtle: | 
|  |  | 
|  | penup(self) unbound turtle.Turtle method | 
|  | Pull the pen up -- no drawing when moving. | 
|  |  | 
|  | Aliases: penup | pu | up | 
|  |  | 
|  | No argument | 
|  |  | 
|  | >>> turtle.penup() | 
|  |  | 
|  | - The docstrings of the functions which are derived from methods have a modified | 
|  | form:: | 
|  |  | 
|  | >>> help(bgcolor) | 
|  | Help on function bgcolor in module turtle: | 
|  |  | 
|  | bgcolor(*args) | 
|  | Set or return backgroundcolor of the TurtleScreen. | 
|  |  | 
|  | Arguments (if given): a color string or three numbers | 
|  | in the range 0..colormode or a 3-tuple of such numbers. | 
|  |  | 
|  | Example:: | 
|  |  | 
|  | >>> bgcolor("orange") | 
|  | >>> bgcolor() | 
|  | "orange" | 
|  | >>> bgcolor(0.5,0,0.5) | 
|  | >>> bgcolor() | 
|  | "#800080" | 
|  |  | 
|  | >>> help(penup) | 
|  | Help on function penup in module turtle: | 
|  |  | 
|  | penup() | 
|  | Pull the pen up -- no drawing when moving. | 
|  |  | 
|  | Aliases: penup | pu | up | 
|  |  | 
|  | No argument | 
|  |  | 
|  | Example: | 
|  | >>> penup() | 
|  |  | 
|  | These modified docstrings are created automatically together with the function | 
|  | definitions that are derived from the methods at import time. | 
|  |  | 
|  |  | 
|  | Translation of docstrings into different languages | 
|  | -------------------------------------------------- | 
|  |  | 
|  | There is a utility to create a dictionary the keys of which are the method names | 
|  | and the values of which are the docstrings of the public methods of the classes | 
|  | Screen and Turtle. | 
|  |  | 
|  | .. function:: write_docstringdict(filename="turtle_docstringdict") | 
|  |  | 
|  | :param filename: a string, used as filename | 
|  |  | 
|  | Create and write docstring-dictionary to a Python script with the given | 
|  | filename.  This function has to be called explicitly (it is not used by the | 
|  | turtle graphics classes).  The docstring dictionary will be written to the | 
|  | Python script :file:`{filename}.py`.  It is intended to serve as a template | 
|  | for translation of the docstrings into different languages. | 
|  |  | 
|  | If you (or your students) want to use :mod:`turtle` with online help in your | 
|  | native language, you have to translate the docstrings and save the resulting | 
|  | file as e.g. :file:`turtle_docstringdict_german.py`. | 
|  |  | 
|  | If you have an appropriate entry in your :file:`turtle.cfg` file this dictionary | 
|  | will be read in at import time and will replace the original English docstrings. | 
|  |  | 
|  | At the time of this writing there are docstring dictionaries in German and in | 
|  | Italian.  (Requests please to glingl@aon.at.) | 
|  |  | 
|  |  | 
|  |  | 
|  | How to configure Screen and Turtles | 
|  | ----------------------------------- | 
|  |  | 
|  | The built-in default configuration mimics the appearance and behaviour of the | 
|  | old turtle module in order to retain best possible compatibility with it. | 
|  |  | 
|  | If you want to use a different configuration which better reflects the features | 
|  | of this module or which better fits to your needs, e.g. for use in a classroom, | 
|  | you can prepare a configuration file ``turtle.cfg`` which will be read at import | 
|  | time and modify the configuration according to its settings. | 
|  |  | 
|  | The built in configuration would correspond to the following turtle.cfg:: | 
|  |  | 
|  | width = 0.5 | 
|  | height = 0.75 | 
|  | leftright = None | 
|  | topbottom = None | 
|  | canvwidth = 400 | 
|  | canvheight = 300 | 
|  | mode = standard | 
|  | colormode = 1.0 | 
|  | delay = 10 | 
|  | undobuffersize = 1000 | 
|  | shape = classic | 
|  | pencolor = black | 
|  | fillcolor = black | 
|  | resizemode = noresize | 
|  | visible = True | 
|  | language = english | 
|  | exampleturtle = turtle | 
|  | examplescreen = screen | 
|  | title = Python Turtle Graphics | 
|  | using_IDLE = False | 
|  |  | 
|  | Short explanation of selected entries: | 
|  |  | 
|  | - The first four lines correspond to the arguments of the :meth:`Screen.setup` | 
|  | method. | 
|  | - Line 5 and 6 correspond to the arguments of the method | 
|  | :meth:`Screen.screensize`. | 
|  | - *shape* can be any of the built-in shapes, e.g: arrow, turtle, etc.  For more | 
|  | info try ``help(shape)``. | 
|  | - If you want to use no fillcolor (i.e. make the turtle transparent), you have | 
|  | to write ``fillcolor = ""`` (but all nonempty strings must not have quotes in | 
|  | the cfg-file). | 
|  | - If you want to reflect the turtle its state, you have to use ``resizemode = | 
|  | auto``. | 
|  | - If you set e.g. ``language = italian`` the docstringdict | 
|  | :file:`turtle_docstringdict_italian.py` will be loaded at import time (if | 
|  | present on the import path, e.g. in the same directory as :mod:`turtle`). | 
|  | - The entries *exampleturtle* and *examplescreen* define the names of these | 
|  | objects as they occur in the docstrings.  The transformation of | 
|  | method-docstrings to function-docstrings will delete these names from the | 
|  | docstrings. | 
|  | - *using_IDLE*: Set this to ``True`` if you regularly work with IDLE and its ``-n`` | 
|  | switch ("no subprocess").  This will prevent :func:`exitonclick` to enter the | 
|  | mainloop. | 
|  |  | 
|  | There can be a :file:`turtle.cfg` file in the directory where :mod:`turtle` is | 
|  | stored and an additional one in the current working directory.  The latter will | 
|  | override the settings of the first one. | 
|  |  | 
|  | The :file:`Lib/turtledemo` directory contains a :file:`turtle.cfg` file.  You can | 
|  | study it as an example and see its effects when running the demos (preferably | 
|  | not from within the demo-viewer). | 
|  |  | 
|  |  | 
|  | :mod:`turtledemo` --- Demo scripts | 
|  | ================================== | 
|  |  | 
|  | .. module:: turtledemo | 
|  | :synopsis: A viewer for example turtle scripts | 
|  |  | 
|  | The :mod:`turtledemo` package includes a set of demo scripts.  These | 
|  | scripts can be run and viewed using the supplied demo viewer as follows:: | 
|  |  | 
|  | python -m turtledemo | 
|  |  | 
|  | Alternatively, you can run the demo scripts individually.  For example, :: | 
|  |  | 
|  | python -m turtledemo.bytedesign | 
|  |  | 
|  | The :mod:`turtledemo` package directory contains: | 
|  |  | 
|  | - A demo viewer :file:`__main__.py` which can be used to view the sourcecode | 
|  | of the scripts and run them at the same time. | 
|  | - Multiple scripts demonstrating different features of the :mod:`turtle` | 
|  | module.  Examples can be accessed via the Examples menu.  They can also | 
|  | be run standalone. | 
|  | - A :file:`turtle.cfg` file which serves as an example of how to write | 
|  | and use such files. | 
|  |  | 
|  | The demo scripts are: | 
|  |  | 
|  | .. tabularcolumns:: |l|L|L| | 
|  |  | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | Name           | Description                  | Features              | | 
|  | +================+==============================+=======================+ | 
|  | | bytedesign     | complex classical            | :func:`tracer`, delay,| | 
|  | |                | turtle graphics pattern      | :func:`update`        | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | chaos          | graphs Verhulst dynamics,    | world coordinates     | | 
|  | |                | shows that computer's        |                       | | 
|  | |                | computations can generate    |                       | | 
|  | |                | results sometimes against the|                       | | 
|  | |                | common sense expectations    |                       | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | clock          | analog clock showing time    | turtles as clock's    | | 
|  | |                | of your computer             | hands, ontimer        | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | colormixer     | experiment with r, g, b      | :func:`ondrag`        | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | forest         | 3 breadth-first trees        | randomization         | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | fractalcurves  | Hilbert & Koch curves        | recursion             | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | lindenmayer    | ethnomathematics             | L-System              | | 
|  | |                | (indian kolams)              |                       | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | minimal_hanoi  | Towers of Hanoi              | Rectangular Turtles   | | 
|  | |                |                              | as Hanoi discs        | | 
|  | |                |                              | (shape, shapesize)    | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | nim            | play the classical nim game  | turtles as nimsticks, | | 
|  | |                | with three heaps of sticks   | event driven (mouse,  | | 
|  | |                | against the computer.        | keyboard)             | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | paint          | super minimalistic           | :func:`onclick`       | | 
|  | |                | drawing program              |                       | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | peace          | elementary                   | turtle: appearance    | | 
|  | |                |                              | and animation         | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | penrose        | aperiodic tiling with        | :func:`stamp`         | | 
|  | |                | kites and darts              |                       | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | planet_and_moon| simulation of                | compound shapes,      | | 
|  | |                | gravitational system         | :class:`Vec2D`        | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | round_dance    | dancing turtles rotating     | compound shapes, clone| | 
|  | |                | pairwise in opposite         | shapesize, tilt,      | | 
|  | |                | direction                    | get_shapepoly, update | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | sorting_animate| visual demonstration of      | simple alignment,     | | 
|  | |                | different sorting methods    | randomization         | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | tree           | a (graphical) breadth        | :func:`clone`         | | 
|  | |                | first tree (using generators)|                       | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | two_canvases   | simple design                | turtles on two        | | 
|  | |                |                              | canvases              | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | wikipedia      | a pattern from the wikipedia | :func:`clone`,        | | 
|  | |                | article on turtle graphics   | :func:`undo`          | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  | | yinyang        | another elementary example   | :func:`circle`        | | 
|  | +----------------+------------------------------+-----------------------+ | 
|  |  | 
|  | Have fun! | 
|  |  | 
|  |  | 
|  | Changes since Python 2.6 | 
|  | ======================== | 
|  |  | 
|  | - The methods :meth:`Turtle.tracer`, :meth:`Turtle.window_width` and | 
|  | :meth:`Turtle.window_height` have been eliminated. | 
|  | Methods with these names and functionality are now available only | 
|  | as methods of :class:`Screen`. The functions derived from these remain | 
|  | available. (In fact already in Python 2.6 these methods were merely | 
|  | duplications of the corresponding | 
|  | :class:`TurtleScreen`/:class:`Screen`-methods.) | 
|  |  | 
|  | - The method :meth:`Turtle.fill` has been eliminated. | 
|  | The behaviour of :meth:`begin_fill` and :meth:`end_fill` | 
|  | have changed slightly: now  every filling-process must be completed with an | 
|  | ``end_fill()`` call. | 
|  |  | 
|  | - A method :meth:`Turtle.filling` has been added. It returns a boolean | 
|  | value: ``True`` if a filling process is under way, ``False`` otherwise. | 
|  | This behaviour corresponds to a ``fill()`` call without arguments in | 
|  | Python 2.6. | 
|  |  | 
|  | Changes since Python 3.0 | 
|  | ======================== | 
|  |  | 
|  | - The methods :meth:`Turtle.shearfactor`, :meth:`Turtle.shapetransform` and | 
|  | :meth:`Turtle.get_shapepoly` have been added. Thus the full range of | 
|  | regular linear transforms is now available for transforming turtle shapes. | 
|  | :meth:`Turtle.tiltangle` has been enhanced in functionality: it now can | 
|  | be used to get or set the tiltangle. :meth:`Turtle.settiltangle` has been | 
|  | deprecated. | 
|  |  | 
|  | - The method :meth:`Screen.onkeypress` has been added as a complement to | 
|  | :meth:`Screen.onkey` which in fact binds actions to the keyrelease event. | 
|  | Accordingly the latter has got an alias: :meth:`Screen.onkeyrelease`. | 
|  |  | 
|  | - The method  :meth:`Screen.mainloop` has been added. So when working only | 
|  | with Screen and Turtle objects one must not additionally import | 
|  | :func:`mainloop` anymore. | 
|  |  | 
|  | - Two input methods has been added :meth:`Screen.textinput` and | 
|  | :meth:`Screen.numinput`. These popup input dialogs and return | 
|  | strings and numbers respectively. | 
|  |  | 
|  | - Two example scripts :file:`tdemo_nim.py` and :file:`tdemo_round_dance.py` | 
|  | have been added to the :file:`Lib/turtledemo` directory. | 
|  |  | 
|  |  | 
|  | .. doctest:: | 
|  | :skipif: _tkinter is None | 
|  | :hide: | 
|  |  | 
|  | >>> for turtle in turtles(): | 
|  | ...      turtle.reset() | 
|  | >>> turtle.penup() | 
|  | >>> turtle.goto(-200,25) | 
|  | >>> turtle.pendown() | 
|  | >>> turtle.write("No one expects the Spanish Inquisition!", | 
|  | ...      font=("Arial", 20, "normal")) | 
|  | >>> turtle.penup() | 
|  | >>> turtle.goto(-100,-50) | 
|  | >>> turtle.pendown() | 
|  | >>> turtle.write("Our two chief Turtles are...", | 
|  | ...      font=("Arial", 16, "normal")) | 
|  | >>> turtle.penup() | 
|  | >>> turtle.goto(-450,-75) | 
|  | >>> turtle.write(str(turtles())) |