▦ 生成摩尔曲线Generate Moore Curve

使用说明与常见问题How-to & FAQ

「生成摩尔曲线」是什么？What is the Generate Moore Curve tool?

生成摩尔曲线（希尔伯特的闭环变体）。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate the Moore curve (closed-loop Hilbert variant). Export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「生成摩尔曲线」？How do I use the Generate Moore Curve tool?

在「生成摩尔曲线」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。In the Generate Moore Curve: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".

摩尔曲线和希尔伯特曲线有何不同？How does the Moore curve differ from the Hilbert curve?

两者都按 2^(n+1)×2^(n+1) 的网格逐格走一遍、不自交。希尔伯特曲线是开曲线，起点和终点在两个角上；摩尔曲线由四条希尔伯特曲线拼成，终点就在起点旁边，最后一段把首尾连起来，形成闭合环。第 n 次迭代共经过 4^(n+1) 个格点。Both visit every cell of a 2^(n+1)×2^(n+1) grid once without crossing themselves. The Hilbert curve is open, with its ends in two corners; the Moore curve is four Hilbert curves joined so that the end lands next to the start, and the final segment closes the loop. Iteration n passes through 4^(n+1) cells.

用途？Uses?

空间填充与局部性索引。Space-filling and locality-aware indexing.

有哪些选项可以调整？What options can I adjust?

「生成摩尔曲线」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 5，范围 1–8；「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 Moore Curve — "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 1–8; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.

「生成摩尔曲线」免费吗？需要注册吗？Is the Generate Moore Curve free? Do I need an account?

「生成摩尔曲线」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 Generate Moore Curve is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.