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Mueller, Copyright (c) 2007, last updated Fri, February 25, 2022 Geodesic Icosidodecahedron Icosidodecahedron Icosidodecahedron Uniform Polyhedron: U24 Archimedean Solid: A4 Wythoff symbol: 2|3 5 Symmetry Group: icosahedral Vertex Configuration: {3, 5, 3, 5} Dual: rhombic triacontahedron V: s3 / 6 * (45 + 17 * √5) A: s2 * (5 * √3 + 3 * √5 * √(5 + 2 * √5)) rinner: s / 8 * (5 + 3 * √5) router: s * (1 + √5) / 2 Vertices/Connectors: 30 (4-way) Faces: 32 20 x 3-sided 12 x 5-sided Edges/Struts: A x 60: 0.61803 Geodesic Icosidodecahedron L1 Geodesic Icosidodecahedron L1 Vertices/Connectors: 42 12 x 5-way 30 x 6-way Faces: 80 (3-sided) Edges/Struts: A x 60: 0.54653 B x 60: 0.61803 total 120 struts (2 kinds) strut variance 13.0% Geodesic Icosidodecahedron Dome L1 Geodesic Icosidodecahedron Dome L1 Geodesic Icosidodecahedron Dome L1 Vertices/Connectors: 26 10 x 4-way 6 x 5-way 10 x 6-way Faces: 40 (3-sided) Icosidodecahedron Dome L1 Construction Map Edges/Struts: A x 30: 0.54653 B x 35: 0.61803 total 65 struts (2 kinds) strut variance 13.0% d= A= x 30, B= x 35, After triangulating it's the same as the Icosahedron 2V or L2. It's a bit of redundancy to list it anyway. Geodesic Icosidodecahedron L2 Geodesic Icosidodecahedron L2 Vertices/Connectors: 162 12 x 5-way 150 x 6-way Faces: 320 (3-sided) Edges/Struts: A x 120: 0.27590 B x 120: 0.28547 C x 120: 0.31287 D x 60: 0.32124 E x 60: 0.32492 total 480 struts (5 kinds) strut variance 17.8% Geodesic Icosidodecahedron Dome L2 Geodesic Icosidodecahedron Dome L2 Geodesic Icosidodecahedron Dome L2 Vertices/Connectors: 91 20 x 4-way 6 x 5-way 65 x 6-way Faces: 160 (3-sided) Icosidodecahedron Dome L2 Construction Map Edges/Struts: A x 60: 0.27590 B x 60: 0.28547 C x 70: 0.31287 D x 30: 0.32124 E x 30: 0.32492 total 250 struts (5 kinds) strut variance 17.8% d= A= x 60, B= x 60, C= x 70, D= x 30, E= x 30, The L2 is the same as a Icosahedron with 4V or L3. Geodesic Icosidodecahedron L2T Geodesic Icosidodecahedron L2T Vertices/Connectors: 242 120 x 4-way 80 x 6-way 12 x 10-way 30 x 12-way Faces: 480 (3-sided) Edges/Struts: A x 60: 0.15841 B x 120: 0.17931 C x 60: 0.18843 D x 120: 0.27590 E x 60: 0.30389 F x 120: 0.31287 G x 120: 0.34893 H x 60: 0.36284 total 720 struts (8 kinds) strut variance 129.7% Geodesic Icosidodecahedron Dome L2T Geodesic Icosidodecahedron Dome L2T Geodesic Icosidodecahedron Dome L2T Vertices/Connectors: 131 10 x 3-way 55 x 4-way 40 x 6-way 10 x 7-way 6 x 10-way 10 x 12-way Faces: 240 (3-sided) Icosidodecahedron Dome L2T Construction Map Edges/Struts: A x 30: 0.15841 B x 60: 0.17931 C x 30: 0.18843 D x 60: 0.27590 E x 30: 0.30389 F x 70: 0.31287 G x 60: 0.34893 H x 30: 0.36284 total 370 struts (8 kinds) strut variance 129.7% d= A= x 30, B= x 60, C= x 30, D= x 60, E= x 30, F= x 70, G= x 60, H= x 30, Very beautiful construct, the same would have been achieved to triaconize a 2V or L2 Icosahedron (2V.2VT) Next Page >> Page << Prev | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | Next >> Content: Page 1: Introduction, Geodesic Procedure, Triangulation Methods/Classes, Class 1 / Alternate Subdivision ... Page 2: Geodesic Truncated Tetrahedron Page 3: Geodesic Octahedron Page 4: Geodesic Cube Page 5: Geodesic Cuboctahedron Page 6: Geodesic Truncated Octahedron Page 7: Geodesic Truncated Cube Page 8: Geodesic Rhombicuboctahedron Page 9: Geodesic Truncated Cuboctahedron Page 10: Geodesic Snub Cube Page 11: Geodesic Icosahedron Page 12: Geodesic Dodecahedron Page 13: Geodesic Icosidodecahedron Page 14: Geodesic Truncated Icosahedron Page 15: Geodesic Truncated Dodecahedron Page 16: Geodesic Rhombicosidodecahedron Page 17: Geodesic Truncated Icosidodecahedron Page 18: Geodesic Snub Dodecahedron Page 19: Geodesic Pentakis Dodecahedron, Pentakis Dodecahedron vs Geodesic Dodecahedron L1, Epcot Spaceship Earth ... Home   ·   About   ·   Tipi   ·   Yurt   ·   Dome   ·   Features   ·   Gallery Print   ·   Bookmark Creative Commons (CC) BY-SA-NC 2005-2017, developed, designed and written by René K. 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