WebGL Uniform Polyhedra

Welcome to my WebGL visualization of uniform polyhedra. WebGL provides 3D graphics in a web browser without the use of plug-ins. A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive.

A pre-computed polyhedra data set will be downloaded and then processed to generate the polyhedron models. These models are then displayed somewhat interactively, hopefully using hardware acceleration. Note that the initial page load will take a little time since there is a fair amount to download and process. Just click below to get going.

Click For WebGL Uniform Polyhedra

Last update: 2024-06-25.

Not working?

A recent standards compliant browser is required for WebGL to work. I am using Firefox and Chrome. For help on getting WebGL click here.

Screenshots

If the polyhedra fails to work then you might like to check out these screenshots:

3D Printed Models

The uniform polyhedra as displayed by WebGL can be ordered from my shop at Shapeways.

For more photos click here.

To Do List

As always the possibilities are endless, but some of the more pressing items:

• Finish off duals - a few may not be being rendered in the most optimal way, also need to double check everything is correct.
• Refresh the user interface a little.

Links

Wikipedia is a good place to start for those interested in uniform polyhedra.

• Uniform polyhedron
• Wythoff symbol
• List of uniform polyhedra by Wythoff symbol

Credits

Acknowledging the ideas and work of others. :-)

• Zvi Har'El and Roman E Mäder - Basic pre-computed uniform polyhedra data.
• Stefan Gustavson, Ian McEwan - Procedural noise shader routines.
• Evgeny Demidov - WebGL examples, ideas and know-how.
• The Lol Engine Blog - Fast branchless RGB to HSV conversion in GLSL.
• CanvasMatrix.js - JavaScript 4x4 matrix implementation.

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Sam Gratrix, Gratrix.net.