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written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
 Rhombicuboctahedron |
- Uniform Polyhedron: U10
- aka Small Rhombicuboctahedron
- Archimedean Solid: A6
- Wythoff symbol: 3 4|2
- Symmetry Group: octahedral
- Vertex Configuration: {4, 3, 4, 4}
- Dual: deltoidal icositetrahedron
- V: s3 / 3 * (12 + 10 * √2)
- A: s2 * (18 + 2 * √3)
- rinner: s / 17 * (6 + √2) * √(5 + 2 * √2)
- router: s / 2 * √(5 + 2 * √2)
- Vertices/Connectors: 24 (4-way)
- Faces: 26
- Edges/Struts:
Geodesic Rhombicuboctahedron L1 |
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- Vertices/Connectors: 42
- Faces: 80 (3-sided)
- Edges/Struts:
- A x 72: 0.52372
- B x 48: 0.71481
- total 120 struts (2 kinds)
- strut variance 36.5%
Geodesic Rhombicuboctahedron L2 |
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- Vertices/Connectors: 162
- 18 x 4-way
- 120 x 6-way
- 24 x 7-way
- Faces: 320 (3-sided)
- Edges/Struts:
- A x 144: 0.26418
- B x 144: 0.27386
- C x 96: 0.36346
- D x 72: 0.37033
- E x 24: 0.38268
- total 480 struts (5 kinds)
- strut variance 45.1%
Two straight hemispherical lines, at 1/3 or 2/3 height approximately.
Geodesic Rhombicuboctahedron L2T |
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- Vertices/Connectors: 242
- 120 x 4-way
- 80 x 6-way
- 18 x 8-way
- 24 x 14-way
- Faces: 480 (3-sided)
- Edges/Struts:
- A x 72: 0.13612
- B x 144: 0.19744
- C x 24: 0.22232
- D x 72: 0.25577
- E x 144: 0.26418
- F x 96: 0.36346
- G x 144: 0.38653
- H x 24: 0.42221
- total 720 struts (8 kinds)
- strut variance 210.3%
- Vertices/Connectors: 133
- 8 x 3-way
- 64 x 4-way
- 4 x 5-way
- 36 x 6-way
- 11 x 8-way
- 10 x 14-way
- Faces: 240 (3-sided)
Rhombicuboctahedron Dome L2T Construction Map |
- Edges/Struts:
- A x 38: 0.13612
- B x 72: 0.19744
- C x 14: 0.22232
- D x 38: 0.25577
- E x 76: 0.26418
- F x 48: 0.36346
- G x 72: 0.38653
- H x 14: 0.42221
- total 372 struts (8 kinds)
- strut variance 210.3%
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