⫴ 生成非对称康托尔集Generate Asymmetric Cantor Set

使用说明与常见问题How-to & FAQ

「生成非对称康托尔集」是什么？What is the Generate Asymmetric Cantor Set tool?

生成非对称康托尔梳：每步按可调左右比例去掉中间一段，而不是固定的三等分。导出 PNG，本地完成。Generate an asymmetric Cantor comb: remove a middle gap with adjustable left/right keep ratios instead of equal thirds. Export PNG locally.

如何使用「生成非对称康托尔集」？How do I use the Generate Asymmetric Cantor Set tool?

在「生成非对称康托尔集」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 Asymmetric Cantor Set: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".

为什么叫非对称？Why asymmetric?

经典康托尔集左右各留 1/3；这里可把左右保留比例设成不同值，中间去掉的宽度随之变化。The classic set keeps 1/3 on each side; here the keep ratios can differ, so the removed gap changes.

比例有限制吗？Any limits on the ratios?

左右保留比例各须在 0.05–0.45 之间，所以中间至少去掉 10%，总有空隙。超出范围或留空时会提示，不会悄悄改成别的值。Each keep ratio must be 0.05–0.45, so at least 10% is always removed from the middle. Out-of-range or empty values give a message instead of being changed silently.

有哪些选项可以调整？What options can I adjust?

「生成非对称康托尔集」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 1–9；「左侧保留比例」默认 0.25，范围 0.05–0.45；「右侧保留比例」默认 0.25，范围 0.05–0.45；「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 Asymmetric Cantor Set — "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 1–9; "Left keep ratio" default 0.25, range 0.05–0.45; "Right keep ratio" default 0.25, range 0.05–0.45; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.

「生成非对称康托尔集」免费吗？需要注册吗？Is the Generate Asymmetric Cantor Set free? Do I need an account?

「生成非对称康托尔集」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 Asymmetric Cantor Set is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.