Question

A Hawaiian earring is a shape consisting of several circles, all tangent at a point: You can make Python draw a circle with the function turtle.circle, which takes a single integer argument specifying the circle's size (remember to import turtle first). Task 4 Define a global variable called "earring ratio", and assign it the value . You can experiment with changing this value later

Task 5

Write a function called “earring_iter” that takes two integer arguments, size and count. This function should use a (for or while) loop to draw a Hawaiian earring containingcount-manycircles,wherethefirstcircledrawnhassizesize,andeachsubsequent circle has size earring_ratio times the size of the previous circle.

Here is a recursive specification for drawing a Hawaiian earring of a given size:

• To draw a Hawaiian earring of a given size with zero hoops, do nothing.

• To draw a Hawaiian earring of a given size with a positive number of hoops, draw a circle of the given size, then draw a Hawaiian earring with one fewer hoops, of size earring_ratio times the current size.

Task 6

In the recursive specification above, identify the base case and recursive case. Then write a recursive function called “earring_rec” that implements the specification. Your recursive function should not contain any loops at all and should behave just like earring_iter.

Answer 1

import turtle

earring_ratio = 3/4

def earring_iter(size,count):
   x = turtle.Turtle()
   while(count):
       x.circle(size)
       size = size*earring_ratio
       count = count - 1
   turtle.done()

def earring_rec(size,count):
   x = turtle.Turtle()
   if(count == 0):
       return
       turtle.done()
   else:
       x.circle(size)
       earring_rec(size*earring_ratio,count-1)