⬡ 流蛇分形（戈斯珀曲线）Draw a Flowsnake Fractal

使用说明与常见问题How-to & FAQ

「流蛇分形（戈斯珀曲线）」是什么？What is the Draw a Flowsnake Fractal tool?

绘制戈斯珀流蛇曲线：六边形空间填充 L 系统曲线，可调迭代与颜色，导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Draw the Gosper flowsnake: a hexagonal space-filling L-system curve. Set iterations and colours; export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「流蛇分形（戈斯珀曲线）」？How do I use the Draw a Flowsnake Fractal tool?

在「流蛇分形（戈斯珀曲线）」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。Set the canvas "Width" and "Height", the "Padding" around the drawing and the "Line width", choose how many "Iterations" to draw, pick the "Background", "Line" and "Fill" colours, then click "Draw". "Download PNG" saves the picture at the canvas size.

流蛇是什么？What is a flowsnake?

戈斯珀曲线的俗称：用六边形瓦片铺满平面的空间填充曲线，也叫流量蛇。Nickname for the Gosper curve — a space-filling curve on a hexagonal tiling.

为什么迭代上限是 6？Why cap iterations at 6?

每步长度约 ×7，6 次已经有数万段；再高会明显变慢。Length grows about ×7 per step; 6 already means tens of thousands of segments.

有哪些选项可以调整？What options can I adjust?

「流蛇分形（戈斯珀曲线）」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 4，范围 1–6；「背景」默认 #ffffff；「线条」默认 #1e3a8a。改动任一选项后结果会按新设置重新生成。Settings in the Draw a Flowsnake 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 4, range 1–6; "Background" default #ffffff; "Line" default #1e3a8a. Changing any option regenerates the result with the new setting.

「流蛇分形（戈斯珀曲线）」免费吗？需要注册吗？Is the Draw a Flowsnake Fractal free? Do I need an account?

「流蛇分形（戈斯珀曲线）」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 Draw a Flowsnake 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.