JSON format data from the Virtual Polyhedra by George W. Hart. It was converted to JSON by Lee Stemkoski. I am merely putting in on npm.
var polyhedra = require('polyhedra')
// polyhedra has the attributes: antiprisms, archimedean, johnson, platonic, prisms
console.log(polyhedra.platonic.cube)
// Prints
{
"name":"Cube",
"category":["Platonic Solid"],
"vertex":[[0,0,1.224745],[1.154701,0,0.4082483],[-0.5773503,1,0.4082483],[-0.5773503,-1,0.4082483],[0.5773503,1,-0.4082483],[0.5773503,-1,-0.4082483],[-1.154701,0,-0.4082483],[0,0,-1.224745]],
"edge":[[0,1],[0,2],[0,3],[1,4],[1,5],[2,4],[2,6],[3,5],[3,6],[4,7],[5,7],[6,7]],
"face":[[0,1,4,2],[0,2,6,3],[0,3,5,1],[1,5,7,4],[2,4,7,6],[3,6,7,5]]}
}The data from the polyhedra is from from the website "Virtual Polyhedra: The Encyclopedia of Polyhedra" by George W. Hart. The original copyright by Hart allows noncommercial use. See copyright.txt.