Answer
code
Work Step by Step
# 15.32 (Turtle: Recursive tree) Rewrite the recursive tree in Exercise 15.31 using Turtle,
# as shown in Figure 15.18. Your program should prompt the user to enter the
# order and display the corresponding fractal for the order.
import turtle
import math
angleFactor = math.pi / 5
sizeFactor = 0.58
# Draw a snow flake with the specified order on one line
def paintBranch(depth, x1, y1, length, angle):
if depth >= 0:
x2 = x1 + math.cos(angle) * length
y2 = y1 + math.sin(angle) * length
# Draw the line
drawLine(x1, y1, x2, y2)
# Draw the left branch
paintBranch(depth - 1, x2, y2, length * sizeFactor, angle + angleFactor)
# Draw the right branch
paintBranch(depth - 1, x2, y2, length * sizeFactor, angle - angleFactor)
def drawLine(x1, y1, x2, y2):
turtle.penup()
turtle.goto(x1, y1)
turtle.pendown()
turtle.goto(x2, y2)
def main():
depth = eval(input("Enter a depth: "))
paintBranch(depth, 0, -50, 200 / 3, math.pi / 2)
turtle.done()
main()
