▲ 生成科赫三角分形Generate Koch Triangle Fractal

使用说明与常见问题How-to & FAQ

「生成科赫三角分形」是什么？What is the Generate Koch Triangle Fractal tool?

生成单条科赫折线。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a single Koch polyline. Export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「生成科赫三角分形」？How do I use the Generate Koch Triangle Fractal tool?

在「生成科赫三角分形」中，按需设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」等选项，然后点击「绘制」、「下载 PNG」按钮即可。In the Generate Koch Triangle Fractal: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".

和科赫雪花有何不同？How does it differ from the Koch snowflake?

本页只画一条科赫曲线：从一条线段开始，每步把每段的中间 1/3 换成向上凸的 60° 尖角，曲线不闭合。科赫雪花是把三条这样的曲线拼在等边三角形的三边上。This page draws a single Koch curve: starting from one segment, the middle third of every piece becomes a 60° spike at each step, and the curve stays open. The Koch snowflake joins three such curves on the sides of an equilateral triangle.

迭代次数怎么选？How many iterations?

0 次是一条直线，1 次是一个尖角（4 段），线段数是 4^n；7 次（上限）有 16384 段，已细到接近像素。Iteration 0 is a straight line and 1 is a single spike (4 pieces); there are 4^n pieces, and at the maximum 7 there are 16,384, close to pixel size.

有哪些选项可以调整？What options can I adjust?

「生成科赫三角分形」的设置：「宽度」默认 512，范围 64–2048；「高度」默认 512，范围 64–2048；「边距」默认 20，范围 0–256；「线宽」默认 2，范围 0.5–40；「迭代次数」默认 5，范围 0–7；「背景」默认 #ffffff；「线条」默认 #1e3a8a。每次生成结果都按当前设置处理。Settings in the Generate Koch Triangle Fractal — "Width" default 512, range 64–2048; "Height" default 512, range 64–2048; "Padding" default 20, range 0–256; "Line width" default 2, range 0.5–40; "Iterations" default 5, range 0–7; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.

「生成科赫三角分形」免费吗？需要注册吗？Is the Generate Koch Triangle Fractal free? Do I need an account?

「生成科赫三角分形」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Generate Koch Triangle Fractal is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.