Orthotunnelled truncated cube
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Orthotunnelled truncated cube | |
---|---|
Rank | 3 |
Type | Quasi-convex Stewart toroid |
Notation | |
Stewart notation | T4/Q4(P4)Q4 |
Elements | |
Faces | 4 octagons, 8+8 triangles 4+8 squares |
Edges | 4+4+8+8+16+16 |
Vertices | 8+8+16 |
Measures (edge length 1) | |
Volume | |
Surface area | |
Related polytopes | |
Convex hull | Truncated cube |
Abstract & topological properties | |
Flag count | 256 |
Euler characteristic | 0 |
Surface | Torus |
Orientable | Yes |
Genus | 1 |
Properties | |
Symmetry | B2×A1 |
Convex | No |
The orthotunnelled truncated cube is a quasi-convex Stewart toroid. It can be made by excavating 2 square cupolas and 1 cube from a truncated cube. There are two ways to do this, resulting in two distinct quasi-convex Stewart toroids.[1] The gyrotunnelled variant results in octagonal faces sharing edges with square faces, while in the orthotunnelled variant octagons only share edges with triangles and other octagons. Both varieties have the same symmetry, face counts, and volumes.
Gallery[edit | edit source]
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Comparison of the two varieties.
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The tunnels for both variety of tunnelled truncated cube shown with the hulls aligned.
External links[edit | edit source]
- Doskey, Alex. "Chapter 5 - Simplest (R)(A)(Q)(T) Toroids of genus p=1".
References[edit | edit source]
- ↑ Stewart (1964:40)
Bibliography[edit | edit source]
- Stewart, Bonnie (1964). Adventures Amoung the Toroids (2 ed.). ISBN 0686-119 36-3.