Answer
code
Work Step by Step
# 15.34 (Turtle: Hilbert curve) Rewrite the Hilbert curve in Exercise 15.33 using Turtle,
# as shown in Figure 15.20. Your program should prompt the user to enter the
# order and display the corresponding fractal for the order.
import turtle
def upperU(order):
if order > 0:
leftU(order - 1)
turtle.setheading(270)
turtle.forward(length)
upperU(order - 1)
turtle.setheading(0)
turtle.forward(length)
upperU(order - 1)
turtle.setheading(90)
turtle.forward(length)
rightU(order - 1)
def leftU(order):
if order > 0:
upperU(order - 1)
turtle.setheading(0)
turtle.forward(length)
leftU(order - 1)
turtle.setheading(270)
turtle.forward(length)
leftU(order - 1)
turtle.setheading(180)
turtle.forward(length)
downU(order - 1)
def rightU(order):
if order > 0:
downU(order - 1)
turtle.setheading(180)
turtle.forward(length)
rightU(order - 1)
turtle.setheading(90)
turtle.forward(length)
rightU(order - 1)
turtle.setheading(0)
turtle.forward(length)
upperU(order - 1)
def downU(order):
if order > 0:
rightU(order - 1)
turtle.setheading(90)
turtle.forward(length)
downU(order - 1)
turtle.setheading(180)
turtle.forward(length)
downU(order - 1)
turtle.setheading(270)
turtle.forward(length)
leftU(order - 1)
order = eval(input("Enter an order: "))
SIZE = 400
length = 400
for i in range(order):
length = length / 2 # Get the right length for the order
# Get the start point
x = -SIZE / 2 + length / 2
y = SIZE / 2 - length / 2
turtle.penup()
turtle.goto(x, y)
turtle.pendown()
upperU(order)
turtle.done()
