➖ 康托尔分形（康托尔梳）Draw a Cantor Fractal
绘制经典的康托尔集梳状图：从一条线段开始，每一步去掉中间三分之一，在多行上展示迭代过程。可调迭代次数、画布尺寸、颜色和线宽，导出 PNG，全部在浏览器本地完成。Draw the classic Cantor comb: start with a line segment and remove the middle third at each step, stacked as rows of iterations. Set depth, canvas size, colours and line width, export a PNG — all locally in your browser.
使用说明与常见问题How-to & FAQ
「康托尔分形（康托尔梳）」是什么？What is the Draw a Cantor Fractal tool?
绘制经典的康托尔集梳状图：从一条线段开始，每一步去掉中间三分之一，在多行上展示迭代过程。可调迭代次数、画布尺寸、颜色和线宽，导出 PNG，全部在浏览器本地完成。Draw the classic Cantor comb: start with a line segment and remove the middle third at each step, stacked as rows of iterations. Set depth, canvas size, colours and line width, export a PNG — all locally in your browser.
如何使用「康托尔分形（康托尔梳）」？How do I use the Draw a Cantor Fractal tool?
在「康托尔分形（康托尔梳）」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.
康托尔集是什么？What is the Cantor set?
从线段去掉中间三分之一，并对剩下的两段反复同样操作。迭代无穷次后得到的点集测度为 0，却有不可数无穷多个点。本工具用梳状图逐行展示前几步。Remove the middle third of a segment, then repeat on each remaining piece. After infinitely many steps the set has measure zero but uncountably many points. This tool shows the first steps as a comb of rows.
迭代次数太高会怎样？What if I pick a high iteration count?
线段会细成接近单个像素；在常见画布上大约 8–10 次就已经看不清更细的结构了。Segments shrink toward a pixel; on typical canvases about 8–10 iterations already look as fine as the screen allows.
有哪些选项可以调整？What options can I adjust?
「康托尔分形（康托尔梳）」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 6，范围 1–10；「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 Cantor 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 6, range 1–10; "Background" default #ffffff; "Line" default #1e3a8a. Changing any option regenerates the result with the new setting.
「康托尔分形（康托尔梳）」免费吗？需要注册吗？Is the Draw a Cantor Fractal free? Do I need an account?
「康托尔分形（康托尔梳）」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 Cantor 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.