# V-fractal

## World's simplest fractal tool

This utility lets you draw colorful and unique binary v-fractals. It gives you the ability to control the depth of the fractal, its size, color palette, and rotation direction. You can specify the size in pixels by adjusting width and height options, you can choose colors for fractal's outline color, internal fill and external fill, and you can select the cardinal or intercardinal orientation of the fractal. Fun fact – an n-th order v-fractal has 2^n-1 branches and 2^(n+1) tree tips. Fractabulous!

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V-fractal tool
What is a v-fractal?

This online browser-based tool allows you to illustrate v-fractals. The v-fractal is one of many fractals in the family of self-similar binary tree fractals, such as binary canopy and Pythagoras tree. It's evolved from a square (a branch) that recursively gets split in fourths and two-fourths of it get appended to the sides of the original square (branch). Unlike the regular binary fractal, the v-fractal creates a closed shape with the tips of tree branches always touching. Mind blowing and ingenious at the same time, or as we love to say – fractabulous!

V-fractal examples
Click to use

Five Iterations of a V-fractal

In this example, we generate a fifth-order v-fractal tree with branches growing in the southern direction. We set the canvas to 900 by 500 pixels in size and use a black color for the bark with 3 pixels in width.

**Required options**

V-fractal's iterative depth.

Width.

Height.

Bark (outline) thickness.

Bark (outline) color.

Trunk (internal) color.

External color.

Make indents around v-fractal.

A Square V-fractal

This example creates a square v-fractal with a depth of four. The fractal is evolved on a square 800x800 canvas. All branches are perfectly square and they grow in the direction from the lower left corner to the upper right corner. There are 2x more squares in every next iteration but they are 1/4th of the size of the previous one.

**Required options**

V-fractal's iterative depth.

Width.

Height.

Bark (outline) thickness.

Bark (outline) color.

Trunk (internal) color.

External color.

Make indents around v-fractal.

Evolving to the East

In this example, we select east as the cardinal evolution direction for the fractal. To better see this, we've increased the height to 1300 pixels and the width to 700 pixels. We haven't specified the internal fill color so the v-fractal has only a white curve color and an arapawa-blue as the external fill color.

**Required options**

V-fractal's iterative depth.

Width.

Height.

Bark (outline) thickness.

Bark (outline) color.

Trunk (internal) color.

External color.

Make indents around v-fractal.

Pro tips
Master online fractal tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinefractaltools.com/draw-v-fractal?&width=900&height=500&iterations=5&background-color=white&fill-color=%23ccff67&line-segment-color=black&line-width=3&padding=8&direction=south

All fractal tools

Quickly draw a custom McWorter dendrite fractal.

Quickly draw a custom canopy tree fractal.

Quickly draw a custom Gosper fractal.

Quickly draw a custom Z-order fractal.

Quickly draw a custom Hilbert fractal.

Quickly draw a custom binary v-fractal.

Quickly draw a custom Peano fractal.

Quickly draw a custom Heighway dragon fractal.

Quickly draw a custom twin dragon Heighway fractal.

Quickly draw a custom Heighway nonadragon fractal.

Quickly draw a custom Koch fractal.

Quickly draw a custom triflake fractal.

Quickly draw a custom Sierpinski triangle fractal.

Quickly draw a custom Sierpinski pentagon fractal.

Quickly draw a custom Sierpinski hexagon fractal.

Quickly draw a custom Sierpinski polygon fractal.

Quickly draw a custom Moore fractal.

Quickly draw a custom Cantor comb fractal.

Quickly draw a custom Cantor dust fractal.

Quickly draw a custom Levy fractal curve.

Quickly draw a custom ice fractal.

Quickly draw a custom Pythagoras tree fractal.

Quickly draw a custom t-square fractal.

Quickly draw a custom Hausdorff tree fractal.

Coming soon
These fractal tools are on the way

Generate a Hilbert Sequence

Walk the Hilbert fractal and enumerate its coordinates.

Generate a Peano Sequence

Walk the Peano fractal and enumerate its coordinates.

Generate a Moore Sequence

Walk the Moore fractal and enumerate its coordinates.

Generate a Cantor String

Encode the Cantor set as a string.

Generate a Hilbert String

Encode the Hilbert fractal as a string.

Generate a Peano String

Encode the Peano fractal as a string.

Generate a Moore String

Encode the Moore fractal as a string.

Generate a Dragon String

Encode the Heighway Dragon as a string.

Generate a Sierpinski String

Encode the Sierpinski fractal as a string.

Mandelbrot Tree

Generate a Mandelbrot tree fractal.

Barnsey's Tree

Generate a Barnsley's tree fractal.

Barnsey's Fern

Generate a Barnsley's fern fractal.

Binary Fractal Tree

Generate a binary tree fractal.

Ternary Fractal Tree

Generate a ternary tree fractal.

Dragon Fractal Tree

Generate a dragon tree fractal.

De Rham Fractal

Generate a de Rham curve.

Takagi Fractal

Generate a Takagi-Landsberg fractal curve.

Peano Pentagon

Generate a Peano pentagon fractal curve.

Tridendrite Fractal

Generate a tridendrite fractal curve.

McWorter's Pentigree

Generate a Pentigree fractal curve.

McWorter's Lucky Seven

Generate a lucky seven fractal curve.

Eisenstein Fractions

Generate an Eisenstein fractions fractal curve.

Bagula Double V

Generate a Bagula double five fractal curve.

Julia Set

Generate a Julia fractal set.

Mandelbrot Set

Generate a Mandelbrot fractal set.

Toothpick Fractal

Generate a toothpick sequence fractal.

Ulam-Warburton Fractal

Generate an Ulam-Warburton fractal curve.

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