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Moore fractal

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!
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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
Padding around canvas edges.
Moore fractal's orientation.

What is a moore fractal?

learn more about this tool
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 examples

Click to use
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.
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.
Padding around canvas edges.
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.
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.
Padding around canvas edges.
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.
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.
Padding around canvas edges.
Moore fractal'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!
https://onlinefractaltools.com/draw-moore-fractal?&width=800&height=800&iterations=5&background-color=%2370004e&line-segment-color=white&line-width=6&padding=15&direction=up
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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.