需要帮助用乌龟制作谢尔宾斯基三角形

如何解决需要帮助用乌龟制作谢尔宾斯基三角形

我正在 youtube 上观看 Aperture 的视频：https://youtu.be/1w40fxsyraE?t=325

在提供的时间戳 (5:25) 处，他开始谈论创建分形的方法。我试图在 python 程序中复制它，但我得到了不同的输出。我不知道为什么我会得到这个输出，但数学似乎是正确的，所以我不知道要改变什么。谁能解释为什么我的输出看起来与视频中的不同？

import turtle as t

drawer = t.Turtle()
drawer.speed(1000)

# drawer.hideturtle()
drawer.penup()

#make dot A

dotAx = 125
dotAy = 150
drawer.goto(dotAx,dotAy)
drawer.dot(10,"red")
#

#make dot B

dotBx = 185
dotBy = 0
drawer.goto(dotBx,dotBy)
drawer.dot(10,"red")

#

#make dot C

dotCx = 0
dotCy = 0
drawer.goto(dotCx,dotCy)
drawer.dot(10,"red")

#

#make middle dot

dotPx = 100
dotPy = 75
drawer.goto(dotPx,dotPy)
drawer.dot(5,"yellow")

#

#draw dots v
x = 0
drawer.pendown()
while True:
  if x == 0:
    dotPx = (dotPx + dotAx)/2
    dotPy = (dotPy + dotAy)/2
    drawer.goto(dotPx,dotPy)
    drawer.dot(5,"black")
    print("A",dotPx,dotPy)
    x+=1
  if x == 1:
    dotPx = (dotPx + dotBx)/2
    dotPy = (dotPy + dotBy)/2
    drawer.goto(dotPx,"black")
    print("B",dotPy)
    x+=1
  if x == 2:
    dotPx = (dotPx + dotCx)/2
    dotPy = (dotPy + dotCy)/2
    drawer.goto(dotPx,"black")
    print("C",dotPy)
    x = 0
  

解决方法

我观看了视频并使用了您的代码，但看不到不一致之处。但是从更远的地方看，我发现通过将您的 x（角选择）从 循环 更改为 随机，它可以正常工作：

from turtle import Turtle
from random import randint

turtle = Turtle()
turtle.speed('fastest')
turtle.hideturtle()
turtle.penup()

# make dot A
dotAx,dotAy = 0,0
turtle.goto(dotAx,dotAy)
turtle.dot(10,'red')

# make dot B
dotBx,dotBy = 150,260
turtle.goto(dotBx,dotBy)
turtle.dot(10,'red')

# make dot C
dotCx,dotCy = 300,0
turtle.goto(dotCx,dotCy)
turtle.dot(10,'red')

# make random dot inside triangle
dotPx,dotPy = 100,75
turtle.goto(dotPx,dotPy)
turtle.dot(5,'green')

# draw dots

while True:
    x = randint(0,2)  # pick a random corner

    if x == 0:
        dotPx = (dotAx + dotPx)/2
        dotPy = (dotAy + dotPy)/2
        turtle.goto(dotPx,dotPy)
        turtle.dot(5)
    elif x == 1:
        dotPx = (dotBx + dotPx)/2
        dotPy = (dotBy + dotPy)/2
        turtle.goto(dotPx,dotPy)
        turtle.dot(5)
    elif x == 2:
        dotPx = (dotCx + dotPx)/2
        dotPy = (dotCy + dotPy)/2
        turtle.goto(dotPx,dotPy)
        turtle.dot(5)

也许这会缩小您对视频所建议的原始方法失败原因的搜索范围。如果我从头开始写这个，并试图获得更精细的细节（和速度），我可能会通过以下方式更好地利用乌龟和 Python：

from turtle import Screen,Turtle,Vec2D
from random import choice

VERTICES = [Vec2D(0,0),Vec2D(150,260),Vec2D(300,0)]
point = Vec2D(100,75)  # random point inside triangle

def doit():
    global point
    point = (choice(VERTICES) + point) * 0.5

    turtle.goto(point)
    turtle.dot(2)

    screen.update()
    screen.ontimer(doit)

screen = Screen()
screen.tracer(False)

turtle = Turtle()
turtle.hideturtle()
turtle.penup()

for vertex in VERTICES:
    turtle.goto(vertex)
    turtle.dot(5,'red')

turtle.goto(point)
turtle.dot(5,'green')

doit()

screen.mainloop()