# Heighway triangle generator

## World's simplest math tool

Free online Heighway triangle fractal generator. Just press a button and you'll get a Heighway triangle. There are no ads, popups or nonsense, just an awesome a Heighway triangle generator. Press a button – get a fractal. Created by math nerds from team Browserling.

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Heighway triangle generator tool
What is a heighway triangle generator?

This tool draws Heighway triangles. You can create your own original Heighway triangle images of arbitrary recursive depth using a three color palette. You can experiment with the number of iterations of the fractal, choose the height and width for the output image, increase or completely remove the thickness of triangles' sides, and make triangles more or less centered by adding or removing pixels from the top, bottom, left and right sides. And one more extra feature is rotation of the triangles. Mathabulous!

Heighway triangle generator examples
Click to use

Filling Triangles

This example draws yellow-filled triangles on a bluish dark background. We left the triangle side thickness option unused so the triangles sides aren't drawn in any color and only two colors are used that fill an area of 700 by 700 pixels.

**Required options**

Heighway
triangle
width.

Heighway
triangle
height.

Number of Heighway triangle
iterations.

Drawing canvas fill color.

Triangles' edge color.

Triangles' fill color.

Thickness of triangle edges.

Padding around all triangles.

Tricolored Heighway Triangle

In this example we use all three possible colors for drawing the triangles. The colors here are written in various formats – hex code for the background, named color for the line, and RGB code for the filling. We generate five iterations of the fractal, set the triangles' side width to three pixels and turn all triangles up.

**Required options**

Heighway
triangle
width.

Heighway
triangle
height.

Number of Heighway triangle
iterations.

Drawing canvas fill color.

Triangles' edge color.

Triangles' fill color.

Thickness of triangle edges.

Padding around all triangles.

Heighway Island

In this example we left the fill field empty and generated a fractal by drawing only triangle edges using lines of one pixel width. Despite this the fractal is completely filled with blue color. How is that possible? It's because because we generated 12 iterations of this fractal and all edges of all triangles got so close together that no space was left empty. This fractal is also known as Heighway Island.

**Required options**

Heighway
triangle
width.

Heighway
triangle
height.

Number of Heighway triangle
iterations.

Drawing canvas fill color.

Triangles' edge color.

Triangles' fill color.

Thickness of triangle edges.

Padding around all triangles.

Pro tips
Master online math 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://onlinemathtools.com/generate-heighway-triangle?&width=700&height=700&iterations=6&background-color=%23011f40&line-segment-color=white&fill-color=%23ffff74&line-width=&padding=10&direction=right

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