Studies into Polyhedra - Miscellaneous

Look around the Graphics Lab

Regular, Semi-Regular Polyhedra, and thier Duals (first page)
Prisms, Anti-prisms, Pryamids, and related Polyhedra
Miscellanous Polyhedra: Deltahedra
Johnson Solids -- The other convex polyhedra with regular faces

Why I studied polyhedra, and Image Generation Techniques
Known Polyhedral Mathematical Formula
Data Sources and links for Polyhedral Data

Miscellaneous Polyhedra

Here we look at miscellaneous categories of polyhedra. The groups formed are interesting though unrelated.

Deltahedra

Deltahedra are polygons built only from equilateral triangles, and by this definition an infinite number of such solids exist. However if we further limit this to convex polyhedra, then only a limited number of such solids exist. All of these are part of other polyhedra sets, which is also the way I have ordered them in that way.

See also Wikipedia Deltahedron.

Platonic Deltahedra

tetrahedron off   vrml wikipedia

octahedron off   vrml wikipedia

icosahedron off   vrml wikipedia

Di-Pyramid Deltahedra

triangular_dipyramid off   vrml wikipedia

pentagonal_dipyramid off   vrml wikipedia

Other Johnson Deltahedra

j17_gyroelongated_square_dipyramid off   vrml wikipedia

j51_triaugmented_triangular_prism off   vrml wikipedia

j84_snub_disphenoid off   vrml wikipedia

Non-convex Deltahedra

This as I mentioned above is infinite group, but I hope to give some of the more interesting examples of these deltahedra.

Under Construction