User:Praseodymium-141/Tridecahedron
Common tridecahedrons[edit]
Space-filling tridecahedron[edit]
| Space-filling tridecahedron | |
|---|---|
 | |
| Type | 6 trapezoids  6 pentagons  1 regular hexagons  |
| Faces | 13 |
| Edges | 30 |
| Vertices | 19 |
A space-filling tridecahedron[1][2] is a tridecahedron that can completely fill three-dimensional space without leaving gaps. It has 13 faces, 30 edges, and 19 vertices. Among the thirteen faces, there are six trapezoids, six pentagons and one regular hexagon.[3]
- The dual polyhedron of the space-filling tridecahedron
The polyhedron's dual polyhedron is a enneadecahedron. It is similar to a twisted half-cube, but one of its vertices is treated as a face before twisting.
| Image | Rotation animation | Expanded view | |
|---|---|---|---|
| Original polyhedron tridecahedron |
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| Dual polyhedron enneadecahedron |
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- ^ Oblate Rhombohedra Archived 2016-09-21 at the Wayback Machine science.unitn.it [2016-1-10]
- ^ Virtual Polyhedra, Greek Numerical Prefixes Archived 2016-01-15 at the Wayback Machine, 1996, George W. Hart, georgehart.com [2016-1-10]
- ^ Cite error: The named reference
Triskaidecahedron Honeycombwas invoked but never defined (see the help page).