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written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022
  Cube |
- Uniform Polyhedron: U6
- aka Hexahedron
- Platonic Solid
- Platonic Element: Earth
- Wythoff symbol: 3|2 4
- Symmetry Group: octahedral
- Vertex Configuration: {4, 4, 4}
- Dual: octahedron
- V: s3
- A: s2 * 6
- rinner: s / 2
- router: s / 2 * √3
- Vertices/Connectors: 8 (3-way)
- Faces: 6 (4-sided)
- Edges/Struts:
  Geodesic Cube L1 |
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- Vertices/Connectors: 14
- Faces: 24 (3-sided)
- Edges/Struts:
- A x 24: 0.91940
- B x 12: 1.15470
- total 36 struts (2 kinds)
- strut variance 25.7%
- Vertices/Connectors: 10
- 2 x 3-way
- 6 x 4-way
- 2 x 6-way
- Faces: 12 (3-sided)
  Cube Dome L1 Construction Map |
- Edges/Struts:
- A x 14: 0.91940
- B x 7: 1.15470
- total 21 struts (2 kinds)
- strut variance 25.7%
  Geodesic Cube L2 |
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- Vertices/Connectors: 50
- Faces: 96 (3-sided)
- Edges/Struts:
- A x 48: 0.47313
- B x 48: 0.53327
- C x 24: 0.60581
- D x 24: 0.65012
- total 144 struts (4 kinds)
- strut variance 37.4%
- Vertices/Connectors: 31
- 2 x 3-way
- 12 x 4-way
- 17 x 6-way
- Faces: 48 (3-sided)
  Cube Dome L2 Construction Map |
- Edges/Struts:
- A x 28: 0.47313
- B x 24: 0.53327
- C x 14: 0.60581
- D x 12: 0.65012
- total 78 struts (4 kinds)
- strut variance 37.4%
  Geodesic Cube L2T |
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- Vertices/Connectors: 74
- 36 x 4-way
- 24 x 6-way
- 6 x 8-way
- 8 x 12-way
- Faces: 144 (3-sided)
- Edges/Struts:
- A x 24: 0.29239
- B x 48: 0.35693
- C x 48: 0.47313
- D x 24: 0.48701
- E x 24: 0.60581
- F x 48: 0.66092
- total 216 struts (6 kinds)
- strut variance 126.4%
- Vertices/Connectors: 43
- 6 x 3-way
- 15 x 4-way
- 2 x 5-way
- 12 x 6-way
- 4 x 7-way
- 2 x 8-way
- 2 x 12-way
- Faces: 72 (3-sided)
  Cube Dome L2T Construction Map |
- Edges/Struts:
- A x 12: 0.29239
- B x 24: 0.35693
- C x 28: 0.47313
- D x 12: 0.48701
- E x 14: 0.60581
- F x 24: 0.66092
- total 114 struts (6 kinds)
- strut variance 126.4%
The L2 looks good to explore this form as well, straight hemisphere line makes it a good 4/8 dome.
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