绘制谢尔宾斯基三角形

import turtle# 绘制单个三角形# [[x1,y1], [x2,y2], [x3,y3]]def draw_triangle(points, color, t):t.fillcolor(color)t.up()# 将画笔移动到第一个点t.goto(points[0][0], points[0][1])t.down()t.begin_fill()t.goto(points[1][0], points[1][1])t.goto(points[2][0], points[2][1])t.goto(points[0][0], points[0][1])t.end_fill()# 计算两点的中位点坐标def mid_point(p1, p2):return ((p1[0] + p2[0])/2, (p1[1] + p2[1])/2)def sierpinski(points, degree, t):colormap = ['blue', 'red', 'green', 'yellow', 'violet', 'orange']# 绘制大的三角形draw_triangle(points, colormap[degree], t)if degree >= 0:# 绘制左下角三角形sierpinski([points[0], mid_point(points[0], points[1]), mid_point(points[0], points[2])], degree - 1, t)# 绘制上方的三角形sierpinski([points[1], mid_point(points[0], points[1]), mid_point(points[1], points[2])], degree - 1, t)# 绘制右下角三角形sierpinski([points[2], mid_point(points[2], points[1]), mid_point(points[0], points[2])], degree - 1, t)t = turtle.Turtle()win = turtle.Screen()points = [[-200, -100], [0, 200], [200, -100]]sierpinski(points, 4, t)win.exitonclick()

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