Column Key
- Solid classes
- R = 5 Platonic solids
- R+= 4 Kepler-Poinsot polyhedra
- A = 13 Archimedean solids
- C+= 14 Non-convex polyhedra with only convex faces (all of these uniform polyhedra have faces which intersect each other)
- S+= 39 Non-convex polyhedra with complex (star) faces
- P = Infinite series of Convex Regular Prisms and Antiprisms
- P+= Infinite series of Non-convex uniform prisms and antiprisms (these all contain complex (star) faces)
- T = 11 Planar tessellations
- Bowers style acronym - A unique pronounceable abbreviated name created by mathematician Jonathan Bowers
- Uniform indexing: U01-U80 (Tetrahedron first, Prisms at 76+)
- Kaleido software indexing: K01-K80 (Kn = Un-5 for n = 6 to 80) (prisms 1-5, Tetrahedron etc. 6+)
- Magnus Wenninger Polyhedron Models: W001-W119
- 1-18 - 5 convex regular and 13 convex semiregular
- 20-22, 41 - 4 non-convex regular
- 19-66 Special 48 stellations/compounds (Nonregulars not given on this list)
- 67-109 - 43 non-convex non-snub uniform
- 110-119 - 10 non-convex snub uniform
- Chi: the Euler characteristic, χ. Uniform tilings on the plane correspond to a torus topology, with Euler characteristic of zero.
- Note on Vertex figure images:
- The white polygon lines represent the "vertex figure" polygon. The colored faces are included on the vertex figure images help see their relations. Some of the intersecting faces are drawn visually incorrectly because they are not properly intersected visually to show which portions are in front.
Read more about this topic: List Of Uniform Polyhedra
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