Ｖ 生成 V 树分形Generate V-Tree Fractal
生成 V 形树分形：每枝分出两臂。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a V-tree fractal: each branch splits into two arms. Export PNG. Settings: Width, Height, Padding, Line width, Iterations.
使用说明与常见问题How-to & FAQ
「生成 V 树分形」是什么？What is the Generate V-Tree Fractal tool?
生成 V 形树分形：每枝分出两臂。导出 PNG。可设置「宽度」、「高度」、「边距」、「线宽」、「迭代次数」。Generate a V-tree fractal: each branch splits into two arms. Export PNG. Settings: Width, Height, Padding, Line width, Iterations.
如何使用「生成 V 树分形」？How do I use the Generate V-Tree Fractal tool?
在「生成 V 树分形」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 V-Tree Fractal: Set "Width", "Height", "Padding", "Line width", "Iterations", then click "Draw", "Download PNG".
V 树是怎么画的？How is the V-tree drawn?
从一根竖直的主干开始，每根枝条的末端向左右各偏转「张角」再长出一根长度为 0.7 倍的新枝，重复「迭代次数」次；第 n 次迭代共有 2^(n+1) − 1 根枝条。整棵树会缩放到画布的留白边距之内。Start with a vertical trunk; at the tip of every branch grow two new branches 0.7 times as long, turned left and right by the Spread angle, and repeat for the number of iterations. Iteration n has 2^(n+1) − 1 branches, and the whole tree is scaled to fit inside the padding.
张角范围？和 H 树有何不同？Spread range? How does it differ from the H-tree?
张角 15°–80°，超出范围会提示并显示你输入的值，而不是悄悄改成边界值。H 树每次转 90° 且枝长按 1/√2 缩短，铺成正交网格；V 树的张角可调，呈放射状分叉。Spread is 15°–80°; values outside give a message showing what you typed rather than being silently changed to the limit. The H-tree turns 90° each time and shrinks by 1/√2, filling an orthogonal grid; the V-tree has an adjustable angle and forks radially.
有哪些选项可以调整？What options can I adjust?
「生成 V 树分形」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 7，范围 1–12；「张角 (°)」默认 40，范围 15–80；「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 V-Tree 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 7, range 1–12; "Spread (°)" default 40, range 15–80; "Background" default #ffffff; "Line" default #1e3a8a. The result always uses the current settings.
「生成 V 树分形」免费吗？需要注册吗？Is the Generate V-Tree Fractal free? Do I need an account?
「生成 V 树分形」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 V-Tree 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.