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# Geodesic Polyhedra

written by Rene K. Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022

## Geodesic Truncated Dodecahedron

### Truncated Dodecahedron

 Truncated Dodecahedron
• Uniform Polyhedron: U26
• Archimedean Solid: A10
• Wythoff symbol: 2 3|5
• Symmetry Group: icosahedral
• Vertex Configuration: {10, 10, 3}
• Dual: triakis icosahedron
• V: s3 * 5/12 * (99 + 47 * √5)
• A: s2 * 5 * (√3 + 6 * √(5 + 2 * √5))
• rinner: s * 5/488 * (17 * √2 + 3 * √10) * √(37 + 15 * √5)
• router: s / 4 * √(74 + 30 * √5)
• Vertices/Connectors: 60 (3-way)
• Faces: 32
• 20 x 3-sided
• 12 x 10-sided
• Edges/Struts:
• A x 90: 0.33676

### Geodesic Truncated Dodecahedron L1

 Geodesic Truncated Dodecahedron L1
• Vertices/Connectors: 72
• 60 x 5-way
• 12 x 10-way
• Faces: 140 (3-sided)
• Edges/Struts:
• A x 90: 0.33676
• B x 120: 0.56832
• total 210 struts (2 kinds)
• strut variance 68.5%

### Geodesic Truncated Dodecahedron L2

 Geodesic Truncated Dodecahedron L2
• Vertices/Connectors: 282
• 60 x 5-way
• 210 x 6-way
• 12 x 10-way
• Faces: 560 (3-sided)
• Edges/Struts:
• A x 180: 0.16899
• B x 60: 0.17082
• C x 120: 0.17562
• D x 240: 0.28714
• E x 240: 0.29098
• total 840 struts (5 kinds)
• strut variance 72.2%
Beautiful shape, the L1 & L2, unfortunately no straight hemisphere line.

### Geodesic Truncated Dodecahedron L2T

 Geodesic Truncated Dodecahedron L2T
• Vertices/Connectors: 422
• 210 x 4-way
• 140 x 6-way
• 60 x 10-way
• 12 x 20-way
• Faces: 840 (3-sided)
• Edges/Struts:
• A x 60: 0.09874
• B x 240: 0.12901
• C x 180: 0.16899
• D x 120: 0.18392
• E x 60: 0.19536
• F x 240: 0.24880
• G x 240: 0.28714
• H x 120: 0.36730
• total 1260 struts (8 kinds)
• strut variance 270.7%

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