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written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
 Truncated Cube |
- Uniform Polyhedron: U9
- Archimedean Solid: A9
- Wythoff symbol: 2 3|4
- Symmetry Group: octahedral
- Vertex Configuration: {8, 8, 3}
- Dual: triakis octahedron
- V: s3 / 3 * (21 + 14 * √2)
- A: s2 * 2 * (6 + 6 * √2 + √3)
- rinner: s / 17 * (5 + 2 * √2 * √(7 + 4 * √2))
- router: s / 2 * √(7 + 4 * √2)
- Vertices/Connectors: 24 (3-way)
- Faces: 14
- Edges/Struts:
Geodesic Truncated Cube L1 |
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- Vertices/Connectors: 30
- Faces: 56 (3-sided)
- Edges/Struts:
- A x 36: 0.56217
- B x 48: 0.80175
- total 84 struts (2 kinds)
- strut variance 42.7%
Geodesic Truncated Cube L2 |
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- Vertices/Connectors: 114
- 24 x 5-way
- 84 x 6-way
- 6 x 8-way
- Faces: 224 (3-sided)
- Edges/Struts:
- A x 72: 0.28396
- B x 24: 0.29289
- C x 48: 0.30682
- D x 96: 0.40955
- E x 96: 0.42500
- total 336 struts (5 kinds)
- strut variance 49.6%
I actually like this form, in particular the L1. The L2 doesn't provide a straight hemisphere line, unfortunately.
Geodesic Truncated Cube L2T |
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- Vertices/Connectors: 170
- 84 x 4-way
- 56 x 6-way
- 24 x 10-way
- 6 x 16-way
- Faces: 336 (3-sided)
- Edges/Struts:
- A x 24: 0.16971
- B x 96: 0.20622
- C x 48: 0.26223
- D x 72: 0.28396
- E x 24: 0.32905
- F x 96: 0.38292
- G x 96: 0.40955
- H x 48: 0.51649
- total 504 struts (8 kinds)
- strut variance 203.5%
- Vertices/Connectors: 95
- 6 x 3-way
- 47 x 4-way
- 28 x 6-way
- 2 x 9-way
- 10 x 10-way
- 2 x 16-way
- Faces: 168 (3-sided)
Truncated Cube Dome L2T Construction Map |
- Edges/Struts:
- A x 14: 0.16971
- B x 48: 0.20622
- C x 26: 0.26223
- D x 38: 0.28396
- E x 14: 0.32905
- F x 48: 0.38292
- G x 48: 0.40955
- H x 26: 0.51649
- total 262 struts (8 kinds)
- strut variance 203.5%
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