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# Geodesic Polyhedra

written by Rene K. Mueller, Copyright (c) 2007, last updated Sun, October 28, 2012

## Geodesic Truncated Cuboctahedron

### Truncated Cuboctahedron

 Truncated Cuboctahedron
• Uniform Polyhedron: U11
• aka Great Rhombicuboctahedron
• Archimedean Solid: A3
• Wythoff symbol: 2 3 4|
• Symmetry Group: octahedral
• Vertex Configuration: {4, 6, 8}
• Dual: disdyakis dodecahedron
• V: s3 * (22 + 14 * √2)
• A: s2 * 12 * (2 + √2 + √3)
• rinner: s * 3/97 * (14 + √2) * √(13 + 6 * √2)
• router: s / 2 * √(13 + 6 * √2)
• Vertices/Connectors: 48 (3-way)
• Faces: 26
• 12 x 4-sided
• 8 x 6-sided
• 6 x 8-sided
• Edges/Struts:
• A x 72: 0.43148

### Geodesic Truncated Cuboctahedron L1

 Geodesic Truncated Cuboctahedron L1
• Vertices/Connectors: 74
• 12 x 4-way
• 56 x 6-way
• 6 x 8-way
• Faces: 144 (3-sided)
• Edges/Struts:
• A x 48: 0.30880
• B x 72: 0.43148
• C x 48: 0.44244
• D x 48: 0.59001
• total 216 struts (4 kinds)
• strut variance 90.9%
The L1 looks very good, the Truncate Cuboctahedron has 8-, 6-, and 4-sided polygons, once centerpoint triangulated make up a beautiful shape. Unfortunately no straight hemisphere line to derive a dome from.

### Geodesic Truncated Cuboctahedron L2

 Geodesic Truncated Cuboctahedron L2
• Vertices/Connectors: 290
• 12 x 4-way
• 272 x 6-way
• 6 x 8-way
• Faces: 576 (3-sided)
• Edges/Struts:
• A x 96: 0.15487
• B x 96: 0.15676
• C x 144: 0.21702
• D x 48: 0.21836
• E x 48: 0.22122
• F x 96: 0.22260
• G x 48: 0.22579
• H x 96: 0.22669
• I x 96: 0.29834
• J x 96: 0.30464
• total 864 struts (10 kinds)
• strut variance 96.8%

### Geodesic Truncated Cuboctahedron L2T

 Geodesic Truncated Cuboctahedron L2T
• Vertices/Connectors: 434
• 216 x 4-way
• 144 x 6-way
• 12 x 8-way
• 56 x 12-way
• 6 x 16-way
• Faces: 864 (3-sided)
• Edges/Struts:
• A x 48: 0.07529
• B x 96: 0.11553
• C x 96: 0.12908
• D x 48: 0.13215
• E x 48: 0.14734
• F x 96: 0.14838
• G x 96: 0.15487
• H x 48: 0.18805
• I x 144: 0.21702
• J x 96: 0.22260
• K x 96: 0.22942
• L x 96: 0.25328
• M x 48: 0.25972
• N x 96: 0.28571
• O x 96: 0.29834
• P x 48: 0.37211
• total 1296 struts (16 kinds)
• strut variance 396.0%

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Creative Commons (CC) BY, NC 2005-2013, developed, designed and written by René K. Müller,
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