import turtle def draw(points): # 根据三个坐标，画一个三角形 t.penup() t.goto(points[\'left\']) t.pendown() t.goto(points[\'top\']) t.goto(points[\'right\']) t.goto(points[\'left\']) def getMid(p1,p2): # 获取两个坐标的中点的坐标 return (p1[0]+p2[0])/2,(p1[1]+p2[1])/2 def sierpinski(degree,points): draw(points) if degree > 0: # 以原三角形左边底角坐标为起点，画一个边长为原来三角形边长一半的等边三角形 sierpinski(degree-1,{\'left\':points[\'left\'],\'top\':getMid(points[\'left\'],points[\'top\']),\'right\':getMid(points[\'left\'],points[\'right\']) }) # 以原三角形左边中点坐标为起点，画一个边长为原来三角形边长一半的等边三角形 sierpinski(degree-1,{\'left\':getMid(points[\'left\'],points[\'top\']),\'top\':points[\'top\'],\'right\':getMid(points[\'top\'],points[\'right\']) }) # 以原三角形底边中点坐标为起点，画一个边长为原来三角形边长一半的等边三角形 sierpinski(degree-1,{\'left\':getMid(points[\'left\'],points[\'right\']),\'top\':getMid(points[\'top\'],points[\'right\']),\'right\':points[\'right\'] }) t = turtle.Turtle() t.speed(3) # 画笔速度 # 初始的三角形的三个顶点 points = {\'left\':(-200,-100),\'top\':(0,200),\'right\':(200,-100)} sierpinski(3,points) turtle.done()