需要帮助在 Python 中使用数字制作希尔伯特曲线 [英] Need help making a Hilbert Curve using numbers in Python

问题描述

我想创建一个函数，在 python 中使用数字创建希尔伯特曲线.该函数的参数将是一个数字，它将告诉该函数应该重复多少次.要制作希尔伯特曲线，您以L"开头，然后变成+RF-LFL-FR+"，然后R"变成-LF+RFR+FL-"我该怎么做?

I want to make a function that will create a Hilbert Curve in python using numbers. The parameters for the function would be a number and that will tell the function how many times it should repeat. To make a Hilbert Curve you start with 'L', then that turns into '+RF-LFL-FR+', and then 'R' turns into '-LF+RFR+FL-' How should I do this?

#Here is what I've made so far
def hilbert(num):
  s = 'L'
  for i in range(num-1):
    s = s.replace('L','+RF-LFL-FR+')
    b = 'R'
    for i in range(num-1):
      b = b.replace('R','-LR+RFR+FL-')
      end = s + b
  return end

当您输入 1 时它完全崩溃，我尝试使用我为 Koch 雪花编写的代码，但我不确定如何使用这两个变量.

It crashes completely when you enter 1, I tried to use to code I made for the Koch snowflake but I wasn't sure how to use the two variables.

#Here is the results for when I use the function
hilbert(1)
#It returns
a crash bruh
hilbert()
#It returns 
'+RF-+RF-LFL-FR+F+RF-LFL-FR+-FR+-L-LR+RFR+FL-+-LR+RFR+FL-F-LR+RFR+FL-+FL-'


#Here is what I want it to return
hilbert(1)
'L'
hilbert(3)
'+-LF+RFR+FL-F-+RF-LFL-FR+F+RF-LFL-FR+-F-LF+RFR+FL-+'

我不太擅长范围循环，我该怎么做?

I'm not that good at the range loop, how should I do this?

推荐答案

在您提供的代码中，您使用 #1 作为输入进行测试.在这种情况下:

In the code you provided you are testing with # 1 as input. In this case:

for i in range(num-1):

未完成并且您的 for 循环从未初始化，因为您的 i 已经超过该范围.

is not fulfilled and your for-loop is never initialized since your i is already past that range.

您可以在下面看到一个示例代码，您可以在玩希尔伯特曲线时将其用作参考:

Below you can see a sample code that you can use as reference when playing with Hilbert Curve:

import turtle

turtle.speed(speed=10)  # Fastest

hilbert_seq = "a"

for _ in range(5):
    new_seq = ""
    for char in hilbert_seq:
        if char == "a":
            new_seq += "-bF+aFa+Fb-"
        elif char == "b":
            new_seq += "+aF-bFb-Fa+"
        else:
            new_seq += char
    hilbert_seq = new_seq

for char in hilbert_seq:
    if char == "F":
        turtle.forward(9)
    elif char == "+":
        turtle.right(90)
    elif char == "-":
        turtle.left(90)

上述示例代码的截图:

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