Activity 17.7.1.
Run the code to see what it draws.
Section 17.7 Total Turtle Trip Theorem
That last piece of code is actually a pattern for a wide variety of geometric shapes. Here’s the code to draw a triangle. It may not be obvious why we turn 120 in this program, but it will be soon.
And here’s the code to draw a pentagon.
Activity 17.7.2.
Run the code to see what it draws.
The Total Turtle Trip Theorem states that the turtle will draw a closed figure with
n sides when the sum of the angles turned is a multiple of 360. In the triangle example, 3 \times 120 = 360 and in the pentagon example, 5 \times 72 = 360.
Change the
?? in line 7 below to the amount to turn each time to draw a 12-sided polygon, which is called a dodecagon. If you get it right the turtle will draw a 12-sided closed polygon.
Activity 17.7.3.
You will need to replace the ’??’ on line 7 to have the code correctly draw a dodecagon (a polygon with 12 sides).
Activity 17.7.4.
How much does
mia need to turn in the program above to create a closed dodecagon (12-sided figure)? Only one of these works.
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15
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This one will not close
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30
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Exactly! 12 * 30 = 360
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12
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No, 12 * 12 is 144, which is not a multiple of 360
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90
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This one will generate a square, three times. 12 * 90 = 1080 = 360 * 3
Activity 17.7.5.
Write a function
polygon which takes in a turtle object and the number of sides as parameters to draw a polygon. Call the function to test it.
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