Enumeration of Polyhedra

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

Octahedra

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

Octahedral Nets

Topological Data for Octahedra

Enneahedra

Polyhedra with 9 Faces (2606 in all). This set was finally completely enumerated on 2 November 2016. For convenience of access, these are broken down into numerous files:

Enneahedral Nets (7-9 Vertices) 378 total

Topological Data for Enneahedra with 7-9 Vertices

Enneahedral Nets (10 Vertices) 633 total

Topological Data for Enneahedra with 10 Vertices

Enneahedral Nets (11 Vertices) 768 total

Topological Data for Enneahedra with 11 Vertices

Enneahedral Nets (12 vertices) 558 total

Here it gets ugly. Lots of classes with no unique faces and many requiring multiple views.

Topological Data for Enneahedra with 12 Vertices

Enneahedral Nets (13 vertices) 219 total

Topological Data for Enneahedra with 13 Vertices

Enneahedral Nets (14 vertices) 50 total

Enneahedra with 14 vertices (0-49)

Topological Data for Enneahedra with 14 Vertices

Topological Data for Enneahedra with 14 Vertices


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Created 23 Sep 1997, Last updated 04 November 2016

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