In: Computer Science
IN PYTHON:
Compose a recursive program to draw Sierpinski triangles. Use a command-line argument to control the depth of the recursion.
import turtle
def drawTriangle(points,color,myTurtle):
myTurtle.fillcolor(color)
myTurtle.up()
myTurtle.goto(points[0][0],points[0][1])
myTurtle.down()
myTurtle.begin_fill()
myTurtle.goto(points[1][0],points[1][1])
myTurtle.goto(points[2][0],points[2][1])
myTurtle.goto(points[0][0],points[0][1])
myTurtle.end_fill()
def getMid(p1,p2):
return ( (p1[0]+p2[0]) / 2, (p1[1] + p2[1]) / 2)
def sierpinski(points,degree,myTurtle):
colormap = ['blue','red','green','white','yellow',
'violet','orange']
drawTriangle(points,colormap[degree],myTurtle)
if degree > 0:
sierpinski([points[0],
getMid(points[0], points[1]),
getMid(points[0], points[2])],
degree-1, myTurtle)
sierpinski([points[1],
getMid(points[0], points[1]),
getMid(points[1], points[2])],
degree-1, myTurtle)
sierpinski([points[2],
getMid(points[2], points[1]),
getMid(points[0], points[2])],
degree-1, myTurtle)
def main():
myTurtle = turtle.Turtle()
myWin = turtle.Screen()
myPoints = [[-100,-50],[0,100],[100,-50]]
sierpinski(myPoints,3,myTurtle)
myWin.exitonclick()
main()