❄ 生成科赫反雪花Generate Koch Anti-snowflake

使用说明与常见问题How-to & FAQ

「生成科赫反雪花」是什么？What is the Generate Koch Anti-snowflake tool?

生成科赫反雪花（内凹）。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate the Koch anti-snowflake (inward). Export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「生成科赫反雪花」？How do I use the Generate Koch Anti-snowflake tool?

在「生成科赫反雪花」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 Koch Anti-snowflake: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".

反雪花和雪花有什么区别？How does the anti-snowflake differ from the snowflake?

两者都从等边三角形出发，每步把每条边换成 4 段（中间 1/3 换成两条边组成的尖角）。雪花的尖角向外凸，面积变大；反雪花的尖角向内凹，第 1 次迭代就变成三个角连在一起的形状，面积变为原三角形的 2/3，极限是原面积的 2/5。Both start from an equilateral triangle and replace every edge with 4 pieces, turning the middle third into a spike. On the snowflake the spikes point outward and the area grows; on the anti-snowflake they point inward, so after one iteration the area is 2/3 of the triangle, tending to 2/5 in the limit.

填充色怎么用？How is the fill colour used?

封闭图形内部用「填充」颜色涂满，再用「线条」颜色描边。想只看轮廓，可以把填充设成与背景相同的颜色。The inside of the closed shape is painted with the Fill colour and the outline is drawn in the Line colour. For an outline only, set Fill to the background colour.

有哪些选项可以调整？What options can I adjust?

「生成科赫反雪花」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 4，范围 0–6；「背景」默认 #ffffff；「线条」默认 #1e3a8a；「填充」默认 #93c5fd。每次生成结果都按当前设置处理。Settings in the Generate Koch Anti-snowflake — "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 4, range 0–6; "Background" default #ffffff; "Line" default #1e3a8a; "Fill" default #93c5fd. The result always uses the current settings.

「生成科赫反雪花」免费吗？需要注册吗？Is the Generate Koch Anti-snowflake free? Do I need an account?

「生成科赫反雪花」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 Koch Anti-snowflake is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.