✚ 生成二次十字分形Generate Quadratic Cross Fractal

使用说明与常见问题How-to & FAQ

「生成二次十字分形」是什么？What is the Generate Quadratic Cross Fractal tool?

生成二次十字分形：十字反复向四臂生长。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a quadratic cross fractal: a cross that grows on all four arms. Export PNG. Settings: Width, Height, Padding, Line width, Iterations.

如何使用「生成二次十字分形」？How do I use the Generate Quadratic Cross Fractal tool?

在「生成二次十字分形」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。In the Generate Quadratic Cross Fractal: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".

十字是怎么长出来的？How does the cross grow?

从一个十字开始，每次迭代在每条臂的末端再长出一个更小的十字，四个方向都一样，图形越长越像一片方形的雪花。It starts from one cross; each iteration grows a smaller cross at the tip of every arm, in all four directions, so the figure fills out like a square snowflake.

迭代次数为什么有上限？Why is there an iteration limit?

每迭代一次臂的数量大约乘以 4（按 4ⁿ 增长），线段很快变得比像素还小。上限让绘制保持流畅，细节太密时页面会提示。Each iteration multiplies the arms by about 4 (they grow as 4ⁿ), so the segments soon become smaller than a pixel. The limit keeps drawing quick, and the page warns when detail gets too dense.

有哪些选项可以调整？What options can I adjust?

「生成二次十字分形」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 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 Quadratic Cross 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 4, range 1–6; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.

「生成二次十字分形」免费吗？需要注册吗？Is the Generate Quadratic Cross Fractal free? Do I need an account?

「生成二次十字分形」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 Generate Quadratic Cross 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.