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# Geodesic Polyhedra

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

## Geodesic Rhombicosidodecahedron

### Rhombicosidodecahedron

 Rhombicosidodecahedron
• Uniform Polyhedron: U27
• aka Small Rhombicosidodecahedron
• Archimedean Solid: A5
• Wythoff symbol: 3 5|2
• Symmetry Group: icosahedral
• Vertex Configuration: {4, 3, 4, 5}
• Dual: deltoidal hexecontahedron
• V: s3 / 3 * (60 + 29 * √5)
• A: s2 * (30 + √(30 * (10 + 3 * √5 + √(15 * (5 + 2 * √5)))))
• rinner: s / 41 * (15 + 2 *√5) * √(11 + 4 * √5)
• router: s / 2 * √(11 + 4 * √5)
• Vertices/Connectors: 60 (4-way)
• Faces: 62
• 20 x 3-sided
• 30 x 4-sided
• 12 x 5-sided
• Edges/Struts:
• A x 120: 0.44784

### Geodesic Rhombicosidodecahedron L1

 Geodesic Rhombicosidodecahedron L1
• Vertices/Connectors: 102
• 30 x 4-way
• 12 x 5-way
• 60 x 7-way
• Faces: 200 (3-sided)
• Edges/Struts:
• A x 120: 0.32082
• B x 60: 0.38835
• C x 120: 0.44784
• total 300 struts (3 kinds)
• strut variance 39.6%

### Geodesic Rhombicosidodecahedron L2

 Geodesic Rhombicosidodecahedron L2
• Vertices/Connectors: 402
• 30 x 4-way
• 12 x 5-way
• 300 x 6-way
• 60 x 7-way
• Faces: 800 (3-sided)
• Edges/Struts:
• A x 240: 0.16093
• B x 240: 0.16306
• C x 120: 0.19510
• D x 120: 0.19848
• E x 240: 0.22535
• F x 120: 0.22686
• G x 60: 0.22826
• H x 60: 0.22975
• total 1200 struts (8 kinds)
• strut variance 42.9%

### Geodesic Rhombicosidodecahedron L2T

 Geodesic Rhombicosidodecahedron L2T
• Vertices/Connectors: 602
• 300 x 4-way
• 200 x 6-way
• 30 x 8-way
• 12 x 10-way
• 60 x 14-way
• Faces: 1200 (3-sided)
• Edges/Struts:
• A x 120: 0.07843
• B x 60: 0.10864
• C x 240: 0.12006
• D x 120: 0.12647
• E x 60: 0.13294
• F x 120: 0.15322
• G x 240: 0.16093
• H x 120: 0.19510
• I x 60: 0.21265
• J x 240: 0.22535
• K x 240: 0.23829
• L x 120: 0.24957
• M x 60: 0.26079
• total 1800 struts (13 kinds)
• strut variance 234.6%

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Creative Commons (CC) BY, SA, NC 2005-2017, developed, designed and written by René K. Müller,
Graphics & illustrations made with Inkscape, Tgif, Gimp, PovRay, GD.pm