Space-filling tridecahedron | |
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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 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 | |
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Original polyhedron tridecahedron |
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Dual polyhedron enneadecahedron |
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Triskaidecahedron Honeycomb
was invoked but never defined (see the
help page).