∟ 生成莱维 C 曲线Generate Lévy C Curve

使用说明与常见问题How-to & FAQ

「生成莱维 C 曲线」是什么？What is the Generate Lévy C Curve tool?

生成莱维 C 曲线。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate the Lévy C curve. Export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「生成莱维 C 曲线」？How do I use the Generate Lévy C Curve tool?

在「生成莱维 C 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 Lévy C Curve: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".

为什么叫 C 曲线？Why is it called the C curve?

莱维 C 曲线每步把每条线段换成两条成直角的短线段（长度为原来的 1/√2），多次迭代后整体轮廓像字母 C。和龙曲线不同，它的线段会互相重叠。At each step every segment is replaced by two segments at a right angle, each 1/√2 as long. After many iterations the outline looks like the letter C. Unlike the dragon curve, its segments overlap one another.

和「绘制莱维分形」一样吗？Is it the same as Draw a Lévy Fractal?

是同一个 L 系统：F → +F--F+，转角 45°。线段数是 2^n，12 次（默认）4096 条，18 次（上限）约 26 万条，接近实心。Yes, the same L-system: F → +F--F+ with 45° turns. There are 2^n segments: 4,096 at the default 12 and about 262,000 at the maximum 18, which looks nearly solid.

有哪些选项可以调整？What options can I adjust?

「生成莱维 C 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 12，范围 1–18；「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 Lévy C 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 12, range 1–18; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.

「生成莱维 C 曲线」免费吗？需要注册吗？Is the Generate Lévy C Curve free? Do I need an account?

「生成莱维 C 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 Lévy C 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.