A tridecahedron is a polyhedron with thirteen faces. There are numerous topologically distinct forms of a tridecahedron, for example the dodecagonal pyramid and hendecagonal prism.
Convex
There are 96,262,938 topologically distinct convex tridecahedra, excluding mirror images, having at least 9 vertices.[1] (Two polyhedra are "topologically distinct" if they have intrinsically different arrangements of faces and vertices, such that it is impossible to distort one into the other simply by changing the lengths of edges or the angles between edges or faces.) There is a pseudo-space-filling tridecahedron that can fill all of 3-space together with its mirror-image.[2]
Examples
The following list gives examples of tridecahedra.
Biaugmented pentagonal prism
Gyroelongated square pyramid
References
Counting polyhedra
Ludacer, Randy. "Honeycombs and Structural Package Design: More Ways of Taking Up Space". Beach Branding & Packaging Design. Archived from the original on 2016-03-07.
External links
Self-dual tridecahedra
What Are Polyhedra?, with Greek Numerical Prefixes
Polyhedra
Listed by number of faces
1–10 faces
Monohedron Dihedron Trihedron Tetrahedron Pentahedron Hexahedron Heptahedron Octahedron Enneahedron Decahedron
11–20 faces
Hendecahedron Dodecahedron Tridecahedron Tetradecahedron Pentadecahedron Hexadecahedron Heptadecahedron Octadecahedron Enneadecahedron Icosahedron
>21 faces
Icositetrahedron (24) Triacontahedron (30) Icosidodecahedron (32) Hexecontahedron (60) Enneacontahedron (90) Hectotriadiohedron (132) Apeirohedron (∞)
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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