Truncated dodecahedral prism
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|Truncated dodecahedral prism|
|Bowers style acronym||Tiddip|
|Coxeter diagram||x x5x3o ()|
|Cells||20 triangular prisms, 12 decagonal prisms, 2 truncated dodecahedra|
|Faces||40 triangles, 30+60 squares, 24 decagons|
|Vertex figure||Sphenoid, edge lengths 1, √10+2√5/2, √10+2√5/2 (base), √2 (legs)|
|Measures (edge length 1)|
|Number of pieces||34|
|Level of complexity||12|
|Dual||Triakis icosahedral tegum|
|Conjugate||Quasitruncated great stellated dodecahedral prism|
|Symmetry||H3×A1, order 240|
The truncated dodecahedral prism or tiddip is a prismatic uniform polychoron that consists of 2 truncated dodecahedra, 12 decagonal prisms, and 20 triangular prisms. Each vertex joins 1 truncated dodecahedron, 1 triangular prism, and 2 decagonal prisms. It is a prism based on the truncated dodecahedron. As such it is also a convex segmentochoron (designated K-4.130 on Richard Klitzing's list).
Gallery[edit | edit source]
Segmentochoron display, tid atop tid
Vertex coordinates[edit | edit source]
The vertices of a truncated dodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:
Representations[edit | edit source]
A truncated dodecahedral prism has the following Coxeter diagrams:
- x x5x3o (full symmetry)
- xx5xx3oo&#x (bases considered separately)
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#901).
- Klitzing, Richard. "Tiddip".
- Wikipedia Contributors. "Truncated dodecahedral prism".