# Multiflake fractal

## World's simplest fractal tool

This utility lets you draw unique and colorful multiflake fractals. You can choose the number of sides of the initial regular polygon and set the number of subsequent fractal iterations. You can rotate the fractal, as well as adjust the size of the canvas, the thickness of the line that's used to draw polygons, and the padding around the canvas. You can use your own color palette to color the background, line, and interior of polygons. Fun fact – the boundary of the n-gon fractal is the Koch curve with an angle of 180 - α degrees, where α is the internal angle of the n-gon. Created by fractal fans from team Browserling. Fractabulous!
announcement a new project!
Super exciting news! We just launched TECHURLS – simple and fun tech news reader. Check it out!
Edges, Depth, and Size
Number of edges of the regular polygon. (Should be 5 or more.)
Multiflake's iterative depth.
Width.
Height.
Polyflake Colors
Multiflake background color.
Multiflake border color.
Multiflake fill color.
Border line width.
Extra pixels along image sides.
Multiflake's orientation.
Multiflake fractal tool What is a multiflake fractal?
This online browser-based tool allows you to illustrate the n-fold symmetry of multiflake fractals. A multiflake fractal is sometimes also called a polyflake fractal or just a polyflake for short. This fractal was first studied by a Polish mathematician Sierpinsky, who found the connection between the flakes and Koch curves. As the name suggests, a polyflake fractal starts with a regular n-sided polygon. Then, n copies of this polygon are created, each smaller by a factor proportional to n, and fit into the vertices of the original polygon. This leads us to the second iteration stage of the fractal. To perform the third iteration, we create n copies of the new pattern and repeat the process again. Thus, the number of n-gons at the i-th iteration step is equal to n^(i - 1). As the number of sides of the original flake increases, the fractal evolves to a circle with a massive empty center. In fact, a higher order multiflake contains infinitely many Koch curves, whose angle decreases with increasing values of n. Mind blowing and ingenious at the same time, or as we love to say – fractabulous!
Multiflake fractal examples Click to use
Sierpinski Heptagon
In this example, we generate a multiflake fractal with a regular heptagon in the base (hepta means seven). We evolve it for 4 iterations and get a heptagon fractal with 7^(4 - 1) = 343 heptagons. We use a givry color canvas of 600x600 pixels, a black line for the borders of heptagons and a persimmon color for heptagon fill. A heptagon multiflake is also called a Sierpinski Heptagon.
Required options
These options will be used automatically if you select this example.
Number of edges of the regular polygon. (Should be 5 or more.)
Multiflake's iterative depth.
Width.
Height.
Multiflake background color.
Multiflake border color.
Multiflake fill color.
Border line width.
Extra pixels along image sides.
Multiflake's orientation.
A Base 6 Multiflake
This example puts a regular 6-gon in the base, thus generating the well-known hexaflake fractal. It uses 5 iteration steps here and the image is composed of 6^(5 - 1) = 1296 hexagons. The hexagons are drawn without a border and are only filled with white color.
Required options
These options will be used automatically if you select this example.
Number of edges of the regular polygon. (Should be 5 or more.)
Multiflake's iterative depth.
Width.
Height.
Multiflake background color.
Multiflake border color.
Multiflake fill color.
Border line width.
Extra pixels along image sides.
Multiflake's orientation.
Decagon Necklace Fractal
In this example, we generate a decagon fractal (the base is a ten-sided polygon). As its internal angle is 144° degrees, the Koch curve around it has 180°-144° = 36° degrees. Because of its stunning symmetry, this fractal type is often used to design necklaces. If you count carefully, you'll find there are 10^(4 - 1) = 1000 decagons in this drawing. Decagons are drawn with black ink on a disco-red background and filled with a yellow color.
Required options
These options will be used automatically if you select this example.
Number of edges of the regular polygon. (Should be 5 or more.)
Multiflake's iterative depth.
Width.
Height.
Multiflake background color.
Multiflake border color.
Multiflake fill color.
Border line width.
Extra pixels along image sides.
Multiflake's orientation.
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
Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!
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 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.
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.
Braille Fractal
Generate a braille code fractal.
Draw a Pseudofractal
Create a fractal that looks like one but isn't a fractal.
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.
Generate a Self-similar Image
Apply fractal algorithms on your image and make it self-similar.
Find Fractal Patterns in Text
Find fractal patterns in any given text.
Find Fractal Patterns in Numbers
Find fractal patterns in any given number.