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# Geodesic Polyhedra

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

## Geodesic Rhombicuboctahedron

### Rhombicuboctahedron

 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
• 8 x 3-sided
• 18 x 4-sided
• Edges/Struts:
• A x 48: 0.71481

### Geodesic Rhombicuboctahedron L1

 Geodesic Rhombicuboctahedron L1
• Vertices/Connectors: 42
• 18 x 4-way
• 24 x 7-way
• 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

 Geodesic Rhombicuboctahedron L2
• 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

 Geodesic Rhombicuboctahedron L2T
• 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%

### Geodesic Rhombicuboctahedron Dome L2T

 Geodesic Rhombicuboctahedron Dome L2T
 Geodesic Rhombicuboctahedron Dome L2T
• 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%

d= A= x 38, B= x 72, C= x 14, D= x 38, E= x 76, F= x 48, G= x 72, H= x 14,

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