Generate a V-tree Fractal
Draw a V-tree fractal. Runs entirely in your browser, so your data never leaves your device.
Output
The result appears here as you type.
How to use Generate a V-tree Fractal
- 1. Set the depth and branch angle. Choose Depth for how many generations of forking branches the tree has, and Branch angle for how wide each fork spreads, such as plus or minus 45 degrees.
- 2. Set the shrink scale. Use Scale to control how much shorter each child branch is than its parent. A scale near 0.7 produces a natural-looking taper as the tree branches outward.
- 3. Size and style the drawing. Set Width (px), Height (px), Line color, Background color and Line width to fit the tree's spreading canopy of forked branches.
- 4. Review the rendered tree. The tool draws a binary tree where every branch forks at the chosen angle and shrinks by the chosen scale, rendered as an SVG. Save it once the shape looks right.
When to use Generate a V-tree Fractal
Generate a V-tree Fractal draws a binary branching tree where every segment splits into two smaller segments at a fixed angle, a classic example of how simple recursive rules produce natural-looking, tree-like shapes. It is directly parameterized by angle and scale, making the effect of each easy to explore.
- Teaching binary recursion with a visual result. The V-tree fractal is a natural first example for teaching binary recursion in a programming course, since students can directly connect the branching factor of two to the shape on screen.
- Exploring how angle and scale affect natural-looking branching. Adjusting Branch angle and Scale independently shows students how these two parameters combine to produce anything from a narrow, tall tree to a wide, bushy one.
- Modeling simplified plant growth for generative art. The V-tree's forking pattern is a common basis for procedural tree generation in generative art and games, before adding randomness or leaves for a more organic final look.
- Illustrating exponential growth and shrinkage together. Since branch count doubles at each depth while length shrinks by the scale factor, the V-tree is a good visual companion to a lecture on competing exponential rates.
Examples
A depth-8 V-tree
Output
An SVG drawing of a binary tree whose branches fork at ±45° and shrink by 0.7.
About the Generate a V-tree Fractal tool
Generate a V-tree Fractal is a free online tool that works entirely inside your web browser. Draw a V-tree fractal. Because the processing happens on your own device, nothing you enter is uploaded, logged or stored anywhere.
This page is one of 234 Math utilities on EditSafely. Each one does a single job well, and all of them follow the same rule: your input stays on your machine.
You can shape the output with 8 settings, including Depth, Branch angle, Scale and Width (px), and the result refreshes the moment you change one. A worked example further down the page shows exactly what the tool produces for a real input.
Because nothing leaves your device, the tool is suitable for sensitive content such as internal documents, credentials or customer data. It also responds instantly, since every keystroke is handled on your own machine rather than by a remote API.
Frequently asked questions
Does Generate a V-tree Fractal cost anything?
Yes, it is completely free. All 2,658 tools on EditSafely work without an account, a subscription or usage limits.
Does the generator send anything to a server?
No data leaves your device. The whole tool is JavaScript that runs inside your browser tab, so there is no upload, no server-side processing and no log of what you did. If you disconnect from the internet after the page loads, it keeps working.
How do I get a different result?
Run the generator again. Each run is computed fresh on your device, and any options you change are applied to the next result immediately.
Do I need to sign up or install anything?
Nothing to install and no account needed. Open the page in any up-to-date browser, including on a phone or tablet, and the tool is ready.
Can I save what the tool produces?
Yes. Use the download or copy controls in the output panel to keep the rendered result once it looks the way you want.