Moore Fractal Generator

World's Simplest Fractal Tool

This utility lets you draw colorful, personalized Moore fractals. It offers you a bunch of options to create the fractal you want. In particular, you can specify fractal's vertical and horizontal dimensions (in pixels), set fractal's color and curve thickness, and change fractal's spatial orientation. Fun fact – Moore's fractal is unique among space-filling fractals because it's the only closed-loop fractal. What that means is the start of the curve always meets the end of the curve. Created by fractal fans from team Browserling. Fractabulous!

Tool Options

Iterations and Size

Modify the fractal's order.
(Number of iterations).
Fractal width.
Fractal height.

Colors and Line

Fractal's background color.
Fractal's curve color.
Fractal's curve width.

Frame and Orientation

Moore fractal's orientation.

What Is a Moore Fractal Generator?

This online browser-based tool allows you to visualize Moore fractals. The Moore fractal, named after American mathematician Eliakim Hastings Moore is a famous plane-filling curve. It is similar to Hilbert and Peano fractals as it has the same recursive structure but the main difference is in the positions of the starting and ending points of the curve. In Hilbert and Peano fractals, the curve starts and ends in the adjacent or opposite corners of the space but the Moore curve starts and ends in neighboring points. If you increase the iterations, these points can get as close as you like. Mind blowing and ingenious at the same time, or as we love to say – fractabulous!

Moore Fractal Generator Examples

Click to try!

Five Iterations of Moore Fractal

This example generates the Moore curve with five iteration step. The fractal curve is drawn on a pompadour-colored canvas with dimensions of 800x800 pixels. The curve itself is 6px thick and in white color.

Required options
These options will be used automatically if you select this example.
Modify the fractal's order.
(Number of iterations).
Fractal width.
Fractal height.
Fractal's background color.
Fractal's curve color.
Fractal's curve width.
Moore fractal's orientation.

A Horizontal Moore Curve

In this example, we set fractal's recursions to 3 levels, fractal's width to 800 pixels and height to 600 pixels. Thus, we get a third-order Moore fractal that's horizontally stretched. We also set the indentation around the fractal to 25 pixels and curve's width to 8 pixels.

Required options
These options will be used automatically if you select this example.
Modify the fractal's order.
(Number of iterations).
Fractal width.
Fractal height.
Fractal's background color.
Fractal's curve color.
Fractal's curve width.
Moore fractal's orientation.

Moore Maze

This example draws the Moore maze. The Moore maze is a Moore fractal that uses the green color for the curve. It has its name from the fact that it looks just like a hedge maze. This particular maze is vertically stretched with the size of 900x1200px and depth of 4 iterations.

Required options
These options will be used automatically if you select this example.
Modify the fractal's order.
(Number of iterations).
Fractal width.
Fractal height.
Fractal's background color.
Fractal's curve color.
Fractal's curve width.
Moore fractal's orientation.

Pro tipsMaster 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

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!

Subscribe to our updates. We'll let you know when we release new tools, features, and organize online workshops.