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# Geodesic Polyhedra

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

## Geodesic Snub Cube

### Snub Cube

 Snub Cube
• Uniform Polyhedron: U12
• aka Cubus Simus
• aka Snub Cuboctahedron
• Archimedean Solid: A7
• Wythoff symbol: |2 3 4
• Symmetry Group: octahedral
• Vertex Configuration: {3, 3, 3, 3, 4}
• Dual: pentagonal icositetrahedron
• t: 1/3 * (1 + (10-3*√33)(1/3) + (19+3*√33)(1/3) )
• V: s3 * ( 8/3 * √(3 * (3-t)/(4*(2-t)) - 1) + √(4 * (3-t)/(4*(2-t)) -2) )
• V: s3 * √((613 * t + 203)/(9*(35*t-62)))
• A: s2 * (6 + 8 * √3)
• rinner: s * √(abs(1-t)/(4*(2-t)))
• router: s * √((3-t)/(4*(2-t)))
• Vertices/Connectors: 24 (5-way)
• Faces: 38
• 32 x 3-sided
• 6 x 4-sided
• Edges/Struts:
• A x 60: 0.74421

### Geodesic Snub Cube L1

 Geodesic Snub Cube L1
• Vertices/Connectors: 30
• 6 x 4-way
• 24 x 6-way
• Faces: 56 (3-sided)
• Edges/Struts:
• A x 24: 0.54710
• B x 60: 0.74421
• total 84 struts (2 kinds)
• strut variance 36.0%

### Geodesic Snub Cube L2

 Geodesic Snub Cube L2
• Vertices/Connectors: 114
• 6 x 4-way
• 108 x 6-way
• Faces: 224 (3-sided)
• Edges/Struts:
• A x 48: 0.27620
• B x 48: 0.28731
• C x 120: 0.37897
• D x 24: 0.38686
• E x 96: 0.40089
• total 336 struts (5 kinds)
• strut variance 45.3%

### Geodesic Snub Cube L2T

 Geodesic Snub Cube L2T
• Vertices/Connectors: 170
• 84 x 4-way
• 56 x 6-way
• 6 x 8-way
• 24 x 12-way
• Faces: 336 (3-sided)
• Edges/Struts:
• A x 24: 0.14348
• B x 48: 0.20649
• C x 96: 0.23304
• D x 24: 0.26808
• E x 48: 0.27620
• F x 120: 0.37897
• G x 48: 0.40339
• H x 96: 0.44048
• total 504 struts (8 kinds)
• strut variance 207.7%
At the first sight it looks as if there is a horizontal base, yet, it's slightly distorted and unsuitable therefore for a dome consideration, unfortunately.

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Creative Commons (CC) BY-SA-NC 2005-2017, developed, designed and written by René K. Müller
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