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User:Praseodymium-141/Tridecahedron

From Wikipedia, the free encyclopedia

Common tridecahedrons

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Space-filling tridecahedron

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Space-filling tridecahedron
Type6 trapezoids
6 pentagons
1 regular hexagons
Faces13
Edges30
Vertices19

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
Dual polyhedron
enneadecahedron
  1. ^ Oblate Rhombohedra Archived 2016-09-21 at the Wayback Machine science.unitn.it [2016-1-10]
  2. ^ Virtual Polyhedra, Greek Numerical Prefixes Archived 2016-01-15 at the Wayback Machine, 1996, George W. Hart, georgehart.com [2016-1-10]
  3. ^ Cite error: The named reference Triskaidecahedron Honeycomb was invoked but never defined (see the help page).