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🐉 生成四角龙曲线Generate Quaddragon Curve

生成四角龙(90° 龙的变体走法)。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a quaddragon (90° dragon-style variant). Export PNG. Settings: Width, Height, Padding, Line width, Iterations.

使用说明与常见问题How-to & FAQ

「生成四角龙曲线」是什么?What is the Generate Quaddragon Curve tool?

生成四角龙(90° 龙的变体走法)。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a quaddragon (90° dragon-style variant). Export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「生成四角龙曲线」?How do I use the Generate Quaddragon Curve tool?

在「生成四角龙曲线」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 Quaddragon Curve: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".

四角龙是什么?What is the quaddragon?

把四条相同的海威龙曲线从同一个起点出发,分别朝四个方向(每条旋转 90°)展开。四条龙曲线互不重叠,边从不重复,迭代越多越像一块从中心向外铺开的四叶图案;无限迭代时四条龙恰好可以铺满整个平面。Four identical Heighway dragon curves start from the same point and unfold in four directions, each rotated 90°. The four curves never overlap or share an edge; with more iterations they form a four-armed pattern spreading from the centre, and in the limit four dragons around a point tile the whole plane.

规则和迭代上限?Rule and iteration limit?

每条龙都用 L 系统 X → X+YF+、Y → -FX-Y,起始 FX,转角 90°。每条有 2^n 段,14 次(上限)共 4 × 16384 段。Each dragon uses the L-system X → X+YF+, Y → -FX-Y from FX with 90° turns. Each has 2^n segments, so the maximum 14 iterations draws 4 × 16,384 segments.

有哪些选项可以调整?What options can I adjust?

「生成四角龙曲线」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 10,范围 1–14;「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 Quaddragon 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 10, range 1–14; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.

「生成四角龙曲线」免费吗?需要注册吗?Is the Generate Quaddragon Curve free? Do I need an account?

「生成四角龙曲线」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 Quaddragon 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.

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