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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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Depth and Size
V-fractal's iterative depth.
Width.
Height.
Bark (outline) thickness.
Colors
Bark (outline) color.
Trunk (internal) color.
External color.
Indents and Direction
Make indents around v-fractal.
Specify branching direction.
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.
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
These options will be used automatically if you select this example.
V-fractal's iterative depth.
Width.
Height.
Bark (outline) thickness.
Bark (outline) color.
Trunk (internal) color.
External color.
Make indents around v-fractal.
Specify branching direction.
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.
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
These options will be used automatically if you select this example.
V-fractal's iterative depth.
Width.
Height.
Bark (outline) thickness.
Bark (outline) color.
Trunk (internal) color.
External color.
Make indents around v-fractal.
Specify branching direction.
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.
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
These options will be used automatically if you select this example.
V-fractal's iterative depth.
Width.
Height.
Bark (outline) thickness.
Bark (outline) color.
Trunk (internal) color.
External color.
Make indents around v-fractal.
Specify branching direction.
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
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