Steven Dutch, Natural and Applied Sciences, University
of Wisconsin - Green Bay

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How Many Polyhedra are There?

Polyhedra with 4-7 Faces (1, 2, 7 and 34, respectively)

Non-Convex Polyhedra

Explanation of Topological Data for Polyhedra

Polyhedra with 8 Faces (257 in all). For convenience of access, these are broken down into several files:

- Octahedra with 6 to 8 Vertices
- Octahedra with 9 Vertices
- Octahedra with 10 Vertices
- Octahedra with 11 or 12 Vertices

Polyhedra with 9 Faces (2606 in all). This set is not completely enumerated
yet (at least by me). For
convenience of access, these are broken down into numerous files:

- Enneahedra with 9 vertices and 6- 7- or 8-sided faces
- Enneahedra with 9 vertices: 333 333 455
- Enneahedra with 9 vertices: 333 334 445
- Enneahedra with 9 vertices: 3333 44444

- Topological Data for Enneahedra with 9 vertices: 333333455 and 333334445
- Topological Data for Enneahedra with 7-9 vertices: All Other Classes

- Enneahedra with 10 vertices: 33 444 4444 (0-13)
- Enneahedra with 10 vertices: 33333 4 555 (a:) (14-77)
- Enneahedra with 10 vertices: 33333 4 555 (b)
- Enneahedra with 10 vertices: 33333 4 555 (c)
- Enneahedra with 10 vertices: 33333 4 555 (d)
- Enneahedra with 10 vertices: 3333 444 55(a); Pentagons Share Edge (78-275)
- Enneahedra with 10 vertices: 3333 444 55(b); Pentagons Share Edge
- Enneahedra with 10 vertices: 3333 444 55(c); Pentagons Share Edge
- Enneahedra with 10 vertices: 3333 444 55(d); Pentagons Share Edge
- Enneahedra with 10 vertices: 3333 444 55; Pentagons Joined at One Vertex
- Enneahedra with 10 vertices: 3333 444 55; Pentagons Non-Adjacent
- Enneahedra with 10 vertices: 333 44444 5(a) (276-323)
- Enneahedra with 10 vertices: 333 44444 5(b) (324-378)
- Enneahedra with 10 vertices: 333333 4 66 and 333333 55 6 (379-401)
- Enneahedra with 10 vertices: 333 33 44 5 6 (403-527)
- Enneahedra with 10 vertices: 3333 4444 6 (528-599)
- Enneahedra with 10 vertices: Heptagon and Octagon Faces (600-632)

- Topological Data for Enneahedra with 10 vertices: 33444444, 333334555, and 333444445
- Topological Data for Enneahedra: 333333466, 333333556, 333333457, 333334447, and 333333448
- Topological Data for Enneahedra with 10 vertices: 333344455
- Topological Data for Enneahedra with 10 vertices: 333334456 and 333344446
- Topological Data for Enneahedra with 10 vertices: Heptagon and Octagon faces

- Enneahedra with 11 vertices: 444444444 and 333345555(a) (0-35)
- Enneahedra with 11 vertices: 333345555(b)
- Enneahedra with 11 vertices: 333 444 555: All Three Pentagons Share an Edge (36-159)
- Enneahedra with 11 vertices: 333 444 555: Two 5-5 Edges, One 5-5 Vertex
- Enneahedra with 11 vertices: 333 444 555: Two 5-5 Edges Only, or One 5-5 Edge and Two 5-5 Vertices

- Topological Data for Enneahedra with 11 vertices: SYMMETRY/POLY9F11vTopoData0.HTM
- Topological Data for Enneahedra with 11 vertices:SYMMETRY/POLY9F11vTopoData1.HTM
- Topological Data for Enneahedra with 11 vertices:SYMMETRY/POLY9F11vTopoData2.HTM
- Topological Data for Enneahedra with 11 vertices:SYMMETRY/POLY9F11vTopoData3.HTM
- Topological Data for Enneahedra with 11 vertices:SYMMETRY/POLY9F11vTopoData4.HTM

- Enneahedra with 12 vertices:

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*Created 23 Sep 1997, Last
21 August 2016
*

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