⬠ 生成谢尔宾斯基五边形Generate Sierpinski Pentagon

使用说明与常见问题How-to & FAQ

「生成谢尔宾斯基五边形」是什么？What is the Generate Sierpinski Pentagon tool?

生成五边形谢尔宾斯基分形。导出 PNG。可设置「宽度」、「高度」、「边距」、「迭代次数」、「背景」。Generate a pentagonal Sierpinski fractal. Export PNG. Settings: Width, Height, Padding, Iterations, Background.

如何使用「生成谢尔宾斯基五边形」？How do I use the Generate Sierpinski Pentagon tool?

在「生成谢尔宾斯基五边形」中，按需设置「宽度」、「高度」、「边距」、「迭代次数」、「背景」等选项，然后点击「绘制」、「下载 PNG」按钮即可。In the Generate Sierpinski Pentagon: Set "Width", "Height", "Padding", "Iterations", "Background", then click "Draw", "Download PNG".

结构是怎样的？What is the structure?

这是去掉中心的五边形雪花（Sierpinski 五边形）：每个五边形换成 5 个缩小到 (3−√5)/2 ≈ 0.382 倍的副本，各自贴在原五边形的一个顶点上，相邻副本只在一点相接，中间留下星形空洞。第 n 次迭代共 5^n 个五边形，整体始终在留白边距之内。It is the pentaflake without its centre (the Sierpinski pentagon): each pentagon is replaced by 5 copies scaled by (3−√5)/2 ≈ 0.382, each sitting in one corner of the original; neighbouring copies touch at a single point, leaving a star-shaped hole in the middle. Iteration n has 5^n pentagons, and the whole drawing stays inside the padding.

颜色怎么设置？How do I set the colour?

五边形用「线条」颜色填实，背景用「背景」颜色，所以页面不提供「填充」设置。The pentagons are filled solid in the Line colour on the Background colour, so there is no Fill setting.

有哪些选项可以调整？What options can I adjust?

「生成谢尔宾斯基五边形」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；「迭代次数」默认 4，范围 1–6；「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 Sierpinski Pentagon — "Width" default 512, range 64–2048; "Height" default 512, range 64–2048; "Padding" default 20, range 0–256; "Iterations" default 4, range 1–6; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.

「生成谢尔宾斯基五边形」免费吗？需要注册吗？Is the Generate Sierpinski Pentagon free? Do I need an account?

「生成谢尔宾斯基五边形」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 Generate Sierpinski Pentagon is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.