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∟ 莱维 C 曲线分形Draw a Lévy Fractal

绘制莱维 C 曲线:每条边换成两条成直角的边,反复迭代形成 C 形。可调迭代与颜色,导出 PNG。Draw the Lévy C curve: replace each edge by two right-angled edges and iterate into a C shape. Set iterations and colours; export PNG.

使用说明与常见问题How-to & FAQ

「莱维 C 曲线分形」是什么?What is the Draw a Lévy Fractal tool?

绘制莱维 C 曲线:每条边换成两条成直角的边,反复迭代形成 C 形。可调迭代与颜色,导出 PNG。Draw the Lévy C curve: replace each edge by two right-angled edges and iterate into a C shape. Set iterations and colours; export PNG.

如何使用「莱维 C 曲线分形」?How do I use the Draw a Lévy Fractal tool?

在「莱维 C 曲线分形」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。Set the canvas "Width" and "Height", the "Padding" around the drawing and the "Line width", choose how many "Iterations" to draw, pick the "Background", "Line" and "Fill" colours, then click "Draw". "Download PNG" saves the picture at the canvas size.

莱维曲线是什么?What is the Lévy curve?

把每段换成两条互相垂直的折线,反复后轮廓像字母 C,也叫莱维龙。Each segment becomes two perpendicular polylines; the outline resembles a C — also called the Lévy dragon.

为什么迭代可以到 18?Why allow up to 18 iterations?

线段按 2ⁿ 增长,但我们用单位步长再整体缩放,高迭代只是更密的折线,仍能画完。Segment count grows as 2ⁿ, but we walk unit steps then scale to fit, so higher depth stays drawable.

有哪些选项可以调整?What options can I adjust?

「莱维 C 曲线分形」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;「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。改动任一选项后结果会按新设置重新生成。Settings in the Draw a Lévy Fractal — "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. Changing any option regenerates the result with the new setting.

「莱维 C 曲线分形」免费吗?需要注册吗?Is the Draw a Lévy Fractal free? Do I need an account?

「莱维 C 曲线分形」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 Draw a Lévy Fractal 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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