polyhedra

Using JavaScript to model 3D polyhedra

Is there a JavaScript library that models 3D polyhedra using the canvas tag or SVG? Say I wanted to produce renderings of the Platonic solids, how would I best achieve this? FWIW, I'm only concerned with WebKit-based web browsers such as Safari and Chrome. I've seen this cool demo of how to render 3D triangles, but how might I extend it...

How do I break a polyhedron into tetrahedra in MATLAB?

I have a polyhedron, with a list of vertices (v) and surfaces (s). How do I break this polyhedron into a series of tetrahedra? I would particularly like to know if there are any built-in MATLAB commands for this. ...

Projecting points from 4d-space into 3d-space in Mathematica

Suppose we have a set of points with the restriction that for each point all coordinates are non-negative, and the sum of coordinates is equal to 1. This restricts points to lie in a 3-dimensional simplex so it makes sense to try to map it back into 3 dimensional space for visualization. The map I'm looking for would take extreme points...