This is Dustin and Jeremy's page about Platonic Solids. Below is a picture of each solid

and the specs are listed in order to the right. If you double-click on any of the images, you

will be able to see them at all angles on our interactive page.

Tetrahedron	Vertices: 4 Edges: 6 Faces: 4 Edges per face: 3 Edges per vertex: 3 Sin of angle at edge: 2 * sqrt(2) / 3 Surface area: sqrt(3) * edgelength^2 Volume: sqrt(2) / 12 * edgelength^3 Circumscribed radius: sqrt(6) / 4 * edgelength Inscribed radius: sqrt(6) / 12 * edgelength
Click image for VRML Experience

Octahedron	Vertices: 6 Edges: 12 Faces: 8 Edges per face:3 Edges per vertex: 4 Sin of angle at edge: 2 * sqrt(2) / 3 Surface area: 2 * sqrt(3) * edgelength^2 Volume: sqrt(2) / 3 * edgelength^3 Circumscribed radius: sqrt(2) / 2 * edgelength Inscribed radius: sqrt(6) / 6 * edgelength
Click image for VRML Experience

Hexahedron (cube)	Vertices: 8 Edges: 12 Faces: 6 Edges per face: 4 Edges per vertex: 3 Sin of angle at edge: 1 Surface area: 6 * edgelength^2 Volume: edgelength^3 Circumscribed radius: sqrt(3) / 2 * edgelength Inscribed radius: 1 / 2 * edgelength
Click image for VRML Experience

Icosahedron	Vertices: 12 Edges: 30 Faces: 20 Edges per face: 3 Edges per vertex: 5 Sin of angle at edge: 2 / 3 Surface area: 5 * sqrt(3) * edgelength^2 Volume: 5 * sqrt(3 + sqrt(5)) / 12 * edgelength^3 Circumscribed radius: sqrt(10 + 2 * sqrt(5)) / 4 * edgelength Inscribed radius: sqrt(42 + 18 * sqrt(5)) / 12 * edgelength
Click image for VRML Experience

Dodecahedron	Vertices: 20 Edges: 30 Faces: 12 Edges per face: 5 Edges per vertex: 3 Sin of angle at edge: 2 * sqrt(5) Surface area: 3 * sqrt(25 + 10 * sqrt(5)) * edgelength^2 Volume: sqrt(15 + 7 * sqrt(5)) / 4 * edgelength^3 Circumscribed radius: sqrt(sqrt(15) + sqrt(3)) / 4 * edgelength Inscribed radius: sqrt(250 + 110 * sqrt(5)) / 20 * edgelength
Click image for VRML Experience