# 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
the ultimate collection of tools!

We're joining all our tools into OnlineTools.com that will offer the ultimate collection of tools. Check it out!

A link to this tool, including input, options and all chained tools.

Can't convert.

## What is a multiflake fractal?

learn more about this tool
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 useSierpinski 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**

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.

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**

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.

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**

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.

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-multiflake-fractal?&width=600&height=600&iterations=4&polygon=7&background-color=%23F7E4BE&line-segment-color=black&fill-color=%23FF5656&line-width=5&padding=5&direction=up

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 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.

Subscribe!
Never miss an update

Cool!

Notifications
We'll let you know when we add this tool

Cool!