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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. Created by fractal fans from team Browserling. 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.

## 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
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.
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.
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!
All fractal tools
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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 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 Cantor String
Encode the Cantor set 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.
Sierpinski Pyramid
Generate a Sierpinski tetrahedron (tetrix) fractal.
Cantor's Cube
Generate a Cantor's cube fractal.
Menger Sponge
Generate a Sierpinski-Menger fractal.
Jerusalem Cube
Generate a Jerusalem cube fractal.
Mosely Snowflake
Generate a Jeaninne Mosely fractal.
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.
Mandelbulb Fractal
Generate a Mandelbulb fractal.
Mandelbox Fractal
Generate a Mandelbox fractal.
Buddhabrot Fractal
Generate a Buddhabrot fractal.
Burning Ship Fractal
Generate a Burning Ship fractal.
Toothpick Fractal
Generate a toothpick sequence fractal.
Ulam-Warburton Fractal
Generate an Ulam-Warburton fractal curve.
ASCII Fractal
Generate an ASCII fractal.
ANSI Fractal
Generate an ANSI fractal.
Unicode Fractal
Generate a Unicode fractal.
Emoji Fractal
Generate an emoji fractal.
Braille Fractal
Generate a braille code fractal.
Audio Fractal
Generate a fractal in audio form.
Draw a Pseudofractal
Create a fractal that looks like one but isn't a fractal.
Convert Text to a Fractal
Generate a fractal from any text.
Convert a String to a Fractal
Generate a fractal from a string.
Convert a Number to a Fractal
Generate a fractal from a number.
Merge Two Fractals
Join any two fractals together.
Draw a Random Fractal
Create a completely random fractal.
Iterate an IFS
Set up an arbitrary IFS system and iterate it.
Run IFS on an Image
Recursively transform an image using IFS rules.
Iterate an ICAF
Run infinite compositions of analytic functions.
Generate a Fractal Landscape
Create a surface that mimics a natural terrain.
Generate a Brownian Surface
Create a fractal surface via Brownian motion.
Generate a Self-similar Image
Apply fractal algorithms on your image and make it self-similar.
Find Fractal Patterns in Images
Find fractal patterns in any given image.
Find Fractal Patterns in Text
Find fractal patterns in any given text.
Find Fractal Patterns in Numbers
Find fractal patterns in any given number.
Fill a Plane with Fractals
Tessellate a plane with fractals.
Run a Cellular Automaton
Run a cellular automaton with custom rules.
Play Game of Life
Play Conway's Game of Life on an infinite grid.