✡ 六片雪花分形Draw a Hexaflake Fractal
绘制六边形雪花（hexaflake）：中心与六个角上摆更小的六边形，反复迭代。可调次数与颜色，导出 PNG。Draw a hexaflake: smaller hexagons at the centre and six corners of a larger one, iterated. Set depth and colours; export PNG.
使用说明与常见问题How-to & FAQ
「六片雪花分形」是什么？What is the Draw a Hexaflake Fractal tool?
绘制六边形雪花（hexaflake）：中心与六个角上摆更小的六边形，反复迭代。可调次数与颜色，导出 PNG。Draw a hexaflake: smaller hexagons at the centre and six corners of a larger one, iterated. Set depth and colours; export PNG.
如何使用「六片雪花分形」？How do I use the Draw a Hexaflake Fractal tool?
在「六片雪花分形」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.
和科赫雪花有何不同？How is this different from a Koch snowflake?
科赫是改边的折线；hexaflake 是整块六边形叠套，更像谢尔宾斯六边形。Koch rewrites edges; a hexaflake nests whole hexagons — closer to a Sierpiński hexagon.
为什么缩小 1/3？Why scale by 1/3?
每一步把六边形换成 7 个 1/3 大小的六边形：中心 1 个，六个顶点方向各 1 个，相邻两块只在顶点处接触，中间留出三角形空隙。第 n 次共有 7ⁿ⁻¹ 个六边形，只画最后一层，所以镂空可见。Each step replaces a hexagon with 7 hexagons at 1/3 size: one in the centre and one toward each vertex; neighbours touch only at a vertex, leaving triangular gaps. Iteration n has 7ⁿ⁻¹ hexagons, and only the last level is drawn, so the holes stay visible.
有哪些选项可以调整？What options can I adjust?
「六片雪花分形」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；「填充」默认 #93c5fd。改动任一选项后结果会按新设置重新生成。Settings in the Draw a Hexaflake 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; "Fill" default #93c5fd. Changing any option regenerates the result with the new setting.
「六片雪花分形」免费吗？需要注册吗？Is the Draw a Hexaflake Fractal free? Do I need an account?
「六片雪花分形」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 Hexaflake 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.