Using Python 2: The Lesson - Functions & Turtles

Using Python v2 The Lesson: Functions & Turtles There are many ways to do graphics in Python, using the "turtle" module is one of the easiest. Turtle graphics are a fun way to review the use of functions. Load the code below into Wing and see what happens: # This program will draw an angled line import turtle turtle.color("blue") # colour will be blue turtle.up() # pick up the pen turtle.setx(0) # put the x coordinate of the pen at 0 turtle.sety(0) # put the y coordinate of the pen at 0 turtle.down() # put the pen down deg = 45 turtle.right(deg) # turn right the specified number of degrees turtle.forward(200) # move the turtle forward a distance of 200 turtle.up() # pick up the pen turtle.goto(-150,-120) # go to this coordinate position turtle.color("red") # change the colour turtle.write("Done!") # print the Done message. You will see that a line is drawn in the "turtle" window. > setx and sety represent the horizontal and vertical axes > the turtle.color function can either take 3 arguments (red, green, blue - each a floating point value between the value of 0 and 1 to represent a specific shade of colour) or a value of "red", "green", or "blue". > For the other turtle functions see the associated comments What if we want to draw additional lines? This is where the use of functions can be very useful. Rather than retyping the code over and over, we could just pass parameters to a function, and get different colours and line orientations. See the example below: # This program will draw an angled line import turtle def draw_angled_line(): turtle.color("blue") # colour will be blue turtle.up() # pick up the pen turtle.setx(0) # put the x coordinate of the pen at 0 turtle.sety(0) # put the y coordinate of the pen at 0 turtle.down() # put the pen down deg = 45 turtle.right(deg) # turn right the specified number of degrees turtle.forward(200) # move the turtle forward a distance of 200 turtle.up() # pick up the pen turtle.goto(-150,-120) # go to this coordinate position turtle.color("red") # change the colour turtle.write("Done!") # print the Done message. draw_angled_line() What is the problem with this? Let's fix it! # This program will draw an angled line import turtle def draw_angled_line(x, y): turtle.color("blue") # colour will be blue turtle.up() # pick up the pen turtle.setx(x) # put the x coordinate of the pen at 0 turtle.sety(y) # put the y coordinate of the pen at 0 turtle.down() # put the pen down deg = 45 turtle.right(deg) # turn right the specified number of degrees turtle.forward(200) # move the turtle forward a distance of 200 turtle.up() # pick up the pen turtle.goto(-150,-120) # go to this coordinate position turtle.color("red") # change the colour turtle.write("Done!") # print the Done message. draw_angled_line(0, 0) draw_angled_line(20,20) Note how x and y parameters are passed to the function. Recalling this function with diffierent parameters will only require one additional line of code for each line drawn on the screen. We can make this function easier to write by using one command at the top of your file from turtle import . This command has the Python interpreter think that all of the turtle function definitions are in your program so it does not have to go out and find the turtle module somewhere else. Here's how to do it: # This program will draw an angled line from turtle import def draw_angled_line(x, y, r, g, b): color(r, g, b) # set the colour up() # pick up the pen setx(x) # put the x coordinate of the pen at 0 sety(y) # put the y coordinate of the pen at 0 down() # put the pen down deg = 45 right(deg) # turn right the specified number of degrees forward(200) # move the turtle forward a distance of 200 up() # pick up the pen goto(-150,-120) # go to this coordinate position color("red") # change the colour write("Done!") # print the Done message. draw_angled_line(0, 0, 0,1,0) # begins at (0,0), colour is green draw_angled_line(20,20, 0, 0.5, 0.5) # begins at (20,20), colour is a mix of green and blue Turtle Function Description color(val) Sets the colour of the pen up() Lifts the pen up(so no colour shows on the screen) down() Puts the pen down on the screen setx(val) Positions the pen's x position sety(val) Positions the pen's y position right(degree) Turns right the specified number of degrees forward(val) Move forward a distance specified by val goto(x) Go to the coordinate specified by (x,y) write(string) Print out string onto the screen The Assignments: 3. Using turtle graphics function example above (without the height variable): a) Create a square by passing the appropriate parameters. Make each side of the square a different color. b) Create a triangle by passing the appropriate parameters. 4. Using turtle graphics define two functions to create the following shapes: draw_star(): define a function to draw 8 lines at equally spaced angles in the 4 quadrants of the Cartesian plane (45 degrees apart from each other). (Hint: use a for loop) draw_square_patterns(): define a function to draw 8 squares shifted at a 45 degree angle from each other. (Hint: use a for loop)

Paper For Above instruction

This paper addresses the programming tasks involving Python's turtle graphics module, focusing on creating geometric shapes with functions and parameters. Specifically, it demonstrates how to draw a square with differently colored sides, a triangle, and more complex shapes like stars and patterned squares, using well-structured functions that accept parameters for position and color.

Creating a Square with Different Colors for Each Side

To draw a square where each side has a unique color, a function can be defined that accepts starting position coordinates and a list of colors for each side. The function sets the turtle's position, then iteratively draws each side with the corresponding color, turning 90 degrees between sides. The approach demonstrates encapsulation of repetitive drawing commands into reusable functions.

Here is the implementation:


from turtle import *

def draw_colored_square(x, y, colors):

"""

Draws a square starting at (x, y) with each side a specified color.

:param x: Starting x-coordinate

:param y: Starting y-coordinate

:param colors: List of four colors for the sides

"""

up()

setx(x)

sety(y)

down()

for color in colors:

color(color)

forward(100) # Set side length

right(90)

Usage example:

draw_colored_square(0, 0, ["red", "green", "blue", "orange"])

done()

This code initializes the turtle at position (0,0) and draws a square with four sides, each with a different specified color. Adjust the color list and starting coordinates as desired.

Creating a Triangle with Parameters

Similarly, to draw a triangle with different colors or positions, define a function that accepts position coordinates and color information. For an equilateral triangle:


def draw_triangle(x, y, colors):

"""

Draws an equilateral triangle starting at (x, y) with each side a specified color.

:param x: Starting x-coordinate

:param y: Starting y-coordinate

:param colors: List of three colors

"""

up()

setx(x)

sety(y)

down()

for color in colors:

color(color)

forward(100) # Triangle side length

right(120)

Usage example:

draw_triangle(50, 50, ["purple", "pink", "cyan"])

done()

This pattern allows flexible creation of triangles at different locations and with colored sides.

Drawing a Star with 8 Lines in Quadrants

The function draw_star() utilizes a loop to draw lines radiating at 45-degree intervals, covering all four quadrants of the Cartesian plane. By looping eight times and rotating the turtle accordingly, the shape of an 8-point star emerges.


def draw_star():

"""

Draws 8 lines at 45-degree intervals in all four quadrants.

"""

from turtle import *

for _ in range(8):

forward(100)

right(45)

Usage:

draw_star()

done()

Creating a Pattern of 8 Squares at 45-Degree Angles

The draw_square_patterns() function employs a loop to draw eight squares, each rotated by 45 degrees around the center point, forming a star-like pattern with overlapping squares.


def draw_square_patterns():

"""

Draws 8 squares, each rotated 45 degrees from the previous.

"""

from turtle import *

for _ in range(8):

for _ in range(4):

forward(50)

right(90)

right(45)

Usage:

draw_square_patterns()

done()

Both functions foster repetition and pattern creation using loops and parameterized design, illustrating key concepts in procedural graphics programming with Python's turtle module.

Conclusion

In summary, Python's turtle graphics module combined with well-designed functions simplifies the process of creating complex and colorful geometric patterns. Using parameters for position and color enhances the reusability and flexibility of the drawing functions, enabling dynamic generation of shapes such as squares, triangles, stars, and patterned designs. These techniques serve as foundational tools in graphical programming, promoting clean code and modular design.

References

  • Python Software Foundation. (2023). Turtle graphics — Python 3.11.2 documentation. https://docs.python.org/3/library/turtle.html
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