K-3D Primitives

Disk

Cone

Cylinder

Cube

Grid

Sphere

Torus

Polyhedron

The actual name for this column should be Uniform polyhedra and their duals. A uniform polyhedron has regular faces and congruent vertices (they all have the same length). There are 75 such finite polyhedra.

The list includes the five platonic solids, that is 80 polyhedra, and their duals. They're generated using the Kaleido program written by Zvi Har'El, thus follow his numbering. Number n marked with a '*' is the dual of number n.

Some of the duals have infinite faces (some of their points are at an infinite distance), and are truncated to fit in a sphere (a finite one).

You'll find the Kaleido program, the author's paper, links and more at the Kaleido's page.