Making Patterns within Patterns

We now know the pattern for creating any polygon. We can wrap that pattern in another loop to create spirograph like patterns. The example below uses pentagons, but you can use other polygons instead.

Note

The outer for loop in the code below on line 8 executes 20 times and the inner for loop on line 13 executes 5 times for each of the outer loop values, 5 times when the outer loop value is 0, 5 times when the outer loop value is 1, 5 times when the outer loop value is 2, and so on. The inner loop is executed a total of 20 * 5 = 100 times. The turtle can take a long time to finish drawing this pattern. Normally code in the browser is limited to only running in 10 seconds or less. But, we can use the sys library (short for system) setExecutionLimit(milliseconds) procedure which will let the code run for up to the specified number of milliseconds. One second is 1,000 milliseconds, so 50,0000 milliseconds is 50 seconds.

from turtle import * # use the turtle library from sys import * # use the system library setExecutionLimit(50000) # let this take up to 50 seconds space = Screen() # create a turtle space zoe = Turtle() # create a turtle named zoe zoe.setheading(90) # point due north for repeats in range(20): # draw the pattern 20 times zoe.forward(10) # Offset the shapes a bit zoe.right(18) # And turn each one a bit # This part makes a pentagon for sides in range(5): # repeat 5 times zoe.forward(50) # move forward by 50 unit zoe.right(72) # turn by 72 degrees

By setting the pen color differently, we can distinguish the part that draws the shape, from the part that draws between the shapes.

from turtle import * # use the turtle library from sys import * # use the system library setExecutionLimit(50000) # let this take up to 50 seconds space = Screen() # create a turtle space zoe = Turtle() # create a turtle named zoe zoe.setheading(90) # point zoe due north for repeats in range(20): # 20 times to draw the pattern zoe.color("green") # set the color to green zoe.forward(10) # Offset the shapes a bit zoe.right(18) # And turn each one a bit zoe.color("red") # set the color to red # This part makes a pentagon for sides in range(5): # repeat 5 times zoe.forward(50) # move forward 50 units zoe.right(72) # turn by 72 degrees

You can use the coloring in the picture below to help you figure out the correct order of the lines below.

There is a way of arranging the statements below such that this image is created. <img src=”../_static/BlueTrianglesRedCircle.png” width=”200” align=”left” hspace=”10” vspace=”5” /> The turtle will draw many triangles. Move the needed pieces of the program from the left into the space on the right. Indent lines as needed.

        from turtle import *
from sys import *
setExecutionLimit(50000)
---
wn = Screen()
mateo = Turtle()
mateo.setheading(90)
---
for repeats in range(20):
---
for repeats in range(20) #distractor
---
    mateo.color("red")
    mateo.forward(10)
    mateo.left(18)
---
    mateo.color("red")
    mateo.forward(10)
    mateo.left(12) #distractor
---
    for sides in range(3):
    ---
    for sides in range(4): #distractor
---
        mateo.color("blue")
        mateo.forward(50)
        mateo.right(120)
        

You can use the coloring in the picture below to help you figure out the correct order of the lines below.

There is a way of arranging the statements below such that this image is created. <img src=”../_static/RedTrianglesBlueCircle.png” width=”200” align=”left” hspace=”10” vspace=”5” /> The turtle will draw many triangles. Move the needed pieces of the program from the left into the space on the right. Indent lines as needed.

        from turtle import *
from sys import *
setExecutionLimit(50000)
---
wn = Screen()
mateo = Turtle()
mateo.setheading(90)
---
for repeats in range(20):
---
for repeats in range(20) #distractor
---
    mateo.color("blue")
    mateo.forward(10)
    mateo.left(18)

---
    for sides in range(3):
---
    for sides in range(3) #distractor
---
        mateo.color("red")
        mateo.forward(50)
        mateo.right(120)
---
        mateo.color("red")
        mateo.forward(50)
        mateo.right(60) #distractor
        

The following example has 4 errors. Can you fix the errors so that the code compiles and runs?

from turtle import * # use the turtle library from sys import * setExecutionLimit(50000) wn = Screen mateo = Turtle() mateo.setheading(90) for repeats in range(20) mateo.color("red") mateo.forward(10) mateo.left(18) for sides in range(3): mateo.Color("blue") mateo.forward(50) mateo.Right(120)

The following example has 4 errors. Can you fix the errors so that the code compiles and runs?

from turtle import * # use the turtle library from sys import * setExecutionLimit(50000) wn = screen() mateo = Turtle mateo.setheading(90) for repeats in range(20): mateo.color("red") mateo.forward(10) mateo.left(18) for sides in range(3) mateo.color("blue") mateo.Forward(50) mateo.right(120)

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