〰 皮亚诺分形曲线Draw a Peano Fractal

使用说明与常见问题How-to & FAQ

「皮亚诺分形曲线」是什么？What is the Draw a Peano Fractal tool?

绘制皮亚诺曲线：经典的空间填充曲线，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 Peano curve: the classic space-filling curve. Set iterations and colours; export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「皮亚诺分形曲线」？How do I use the Draw a Peano Fractal tool?

在「皮亚诺分形曲线」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.

皮亚诺曲线有什么特别？What is special about the Peano curve?

它是第一条被发现的空间填充曲线，极限能经过单位正方形内每一点。It was the first space-filling curve discovered; in the limit it visits every point of the unit square.

和希尔伯特、摩尔曲线的关系？Relation to Hilbert and Moore?

同属空间填充家族；摩尔是希尔伯特的闭环变体，本站另有摩尔与莫顿工具。All are space-filling; Moore is a closed-loop Hilbert variant — see also Moore and Morton tools here.

有哪些选项可以调整？What options can I adjust?

「皮亚诺分形曲线」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 3，范围 1–5；「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 Peano 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 3, range 1–5; "Background" default #ffffff; "Line" default #1e3a8a. Changing any option regenerates the result with the new setting.

「皮亚诺分形曲线」免费吗？需要注册吗？Is the Draw a Peano Fractal free? Do I need an account?

「皮亚诺分形曲线」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 Peano 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.