△ 生成谢尔宾斯基曲线Generate Sierpinski Curve
生成闭合的谢尔宾斯基曲线（正方形版 L 系统）。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a closed Sierpinski curve (square L-system). Export PNG. Settings: Width, Height, Padding, Line width, Iterations.
使用说明与常见问题How-to & FAQ
「生成谢尔宾斯基曲线」是什么？What is the Generate Sierpinski Curve tool?
生成闭合的谢尔宾斯基曲线（正方形版 L 系统）。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a closed Sierpinski curve (square L-system). Export PNG. Settings: Width, Height, Padding, Line width, Iterations.
如何使用「生成谢尔宾斯基曲线」？How do I use the Generate Sierpinski Curve tool?
在「生成谢尔宾斯基曲线」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 Sierpinski Curve: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".
曲线是闭合的吗？「填充」做什么？Is the curve closed? What does Fill do?
是。曲线首尾相接，围成一个区域；「填充」颜色（默认 #93c5fd）涂满这个区域，再用「线条」颜色描出曲线。把「填充」设成和背景一样就只看到曲线。Yes. The curve ends where it starts and encloses a region; the Fill colour (default #93c5fd) paints that region and the Line colour draws the curve on top. Set Fill to the background colour to see only the curve.
每次转多少度？What is the turning angle?
这条闭合的谢尔宾斯基曲线基于正方形网格，L 系统里的转角是 45° 和 90° 的组合，首尾相连围成一个区域，迭代越多越接近填满正方形。This closed Sierpiński curve lives on a square grid; its L-system turns combine 45° and 90°, the ends join to enclose a region, and more iterations fill the square more closely.
有哪些选项可以调整？What options can I adjust?
「生成谢尔宾斯基曲线」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 1–7；「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 Sierpinski Curve — "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 1–7; "Background" default #ffffff; "Line" default #1e3a8a; "Fill" default #93c5fd. The result always uses the current settings.
「生成谢尔宾斯基曲线」免费吗？需要注册吗？Is the Generate Sierpinski Curve free? Do I need an account?
「生成谢尔宾斯基曲线」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 Curve is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.