# 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. Fractabulous!

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Moore fractal tool
What is a moore fractal?

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.

**Required options**

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.

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**

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 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**

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.

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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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 Cantor String

Encode the Cantor set as a string.

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 Dragon String

Encode the Heighway Dragon as a string.

Generate a Sierpinski String

Encode the Sierpinski fractal as a string.

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.

Toothpick Fractal

Generate a toothpick sequence fractal.

Ulam-Warburton Fractal

Generate an Ulam-Warburton fractal curve.

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