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Müller Geodesic Solitude Johnny's Capsule Geodesic Clay Mud Dome Jurtendorf (Switzerland) Neolithics of Pfyn Strawbale Cabin Dome Geodesic Dome Geodesic Dome Notes & Calculator Table of Content Introduction Overview of Variants How to Use the Notes Strut Options & Notion The Icosahedron The Octahedron The Cube The Cuboctahedron The Truncated Octahedron The Rhombicuboctahedron Building Models Real Life Application Links Geodesic Dome Diary Geodesic Polyhedra Polyhedra Notes Bow Dome Triangulated Bow Dome Star Dome Star Dome Diary Wigwam Zome Helix Zome Low Cost Dome (PVC) Miscellaneous Domes Site Search Enter term & press ENTER If you found the information useful, consider to make a donation:   Page << Prev | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | Next >> Geodesic Dome Notes & Calculator written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019 The Octahedron Octahedron Uniform Polyhedron: U5 Platonic Solid Platonic Element: Air Vertices: 6 Edges: 12 Faces: 8 Wythoff symbol: 4|2 3 Symmetry Group: octahedral Vertex Configuration: {3, 3, 3, 3} Dual: cube V: s3 / 3 * √2 A: s2 * 8 / 4 * √3 rinner: s / 6 * √6 router: s / 2 * √2 s = , V = , A = , rinner = , router = , ravg = 1V/L1 Octahedron Dome Geodesic 1V Octahedron Dome (front view) Geodesic 1V Octahedron Dome (bird view) vertices/connectors: 5 4 x 3-way 1 x 4-way 1V Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 8: 1.41421 (45.00°) faces: 4 (3-sided) A-A-A x 4 (60.00°, 60.00°, 60.00°) diameter: 2.000, radius: 1.000 height: 1.000 or 50.00% of diameter 1V Octahedron Dome Calculator Geodesic 1V Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 8, h = 2V/L2 Octahedron Dome Geodesic 2V Octahedron Dome (front view) Geodesic 2V Octahedron Dome (bird view) vertices/connectors: 13 4 x 3-way 5 x 4-way 4 x 6-way 2V Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 16: 0.76537 (22.50°) B x 12: 1.00000 (30.00°) total 28 struts (2 kinds)1) strut variance 30.7% faces: 16 (3-sided) A-A-B x 12 (49.21°, 49.21°, 81.57°) B-B-B x 4 (60.00°, 60.00°, 60.00°) 2 kinds of faces2) diameter: 2.000, radius: 1.000 height: 1.000 or 50.00% of diameter 1) strut lengths sorted by 1/10'000th or +/-0.00005 exact 2) clock wise (cw) and counter clock wise (ccw) orientation neglected 2V Octahedron Dome Calculator Geodesic 2V Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 16, Blath = x 12, h = 3V Octahedron Dome Geodesic 3V Octahedron Dome (front view) Geodesic 3V Octahedron Dome (bird view) vertices/connectors: 25 4 x 3-way 9 x 4-way 12 x 6-way 3V Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 16: 0.45951 (13.28°) B x 20: 0.63246 (18.44°) C x 24: 0.67142 (19.62°) total 60 struts (3 kinds)1) strut variance 46.1% faces: 36 (3-sided) A-A-B x 12 (46.51°, 46.51°, 86.98°) B-C-C x 24 (56.20°, 61.90°, 61.90°) 2 kinds of faces2) diameter: 2.000, radius: 1.000 height: 1.000 or 50.00% of diameter 1) strut lengths sorted by 1/10'000th or +/-0.00005 exact 2) clock wise (cw) and counter clock wise (ccw) orientation neglected 3V Octahedron Dome Calculator Geodesic 3V Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 16, Blath = x 20, Clath = x 24, h = 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: Table of Content, Changes Page 2: Introduction, Origin of the Geodesic Dome, Geodesize: Triangulate & Normalize, Procedure & Evolution of a Subdividing Triangle ... Page 3: Overview of Variants, Numerical Overview, Amount of Struts vs. Strut Variance, Amount of Struts vs. Strut Types ... Page 4: The Icosahedron, 1V/L1 2/3 Icosahedron Dome, 2V/L2 Icosahedron Dome, 3V 4/9 Icosahedron Dome ... Page 5: 5V 7/15 Icosahedron Dome, 5V 8/15 Icosahedron Dome, 6V Icosahedron Dome, 2V.3V Icosahedron Dome ... Page 6: 7V 10/21 Icosahedron Dome, 7V 11/21 Icosahedron Dome, 8V Icosahedron Dome, L4 Icosahedron Dome ... Page 7: The Octahedron, 1V/L1 Octahedron Dome, 2V/L2 Octahedron Dome, 3V Octahedron Dome Page 8: 4V Octahedron Dome, L3 Octahedron Dome, L3 1/4 Octahedron Dome, L3 5/8 Octahedron Dome Page 9: 5V Octahedron Dome, 6V Octahedron Dome, 2V.3V Octahedron Dome, 3V.2V Octahedron Dome Page 10: 7V Octahedron Dome, 8V Octahedron Dome, L4 Octahedron Dome, L4 7/16 Octahedron Dome, L4 9/16 Octahedron Dome ... Page 11: 9V Octahedron Dome, 3V.3V Octahedron Dome, 10V Octahedron Dome, 2V.5V Octahedron Dome, 2V.5V Octahedron Dome ... Page 12: The Cube, Preparing the Cube, 1V/L1 Cube Dome, 2V/L2 Cube Dome, 3V Cube Dome, 4V Cube Dome, L3 Cube Dome ... Page 13: 5V Cube Dome, 6V Cube Dome, 2V.3V Cube Dome, 3V.2V Cube Dome, 7V Cube Dome Page 14: The Cuboctahedron, Preparing the Cuboctahedron, 1V/L1 Cuboctahedron Dome, 2V/L2 Cuboctahedron Dome ... Page 15: 5V Cuboctahedron Dome, 6V Cuboctahedron Dome, 2V.3V Cuboctahedron Dome, 3V.2V Cuboctahedron Dome ... Page 16: The Truncated Octahedron, Preparing the Truncated Octahedron, 1V/L1 Truncated Octahedron Dome ... Page 17: The Rhombicuboctahedron, Preparing the Rhombicuboctahedron, 1V/L1 3/8 Rhombicuboctahedron Dome ... Page 18: Building Models, 3V 5/9 Icosahedron Model, 2V Icosahedron Model, 4V Icosahedron Model, 2V/L2 Cuboctahedron Model ... Page 19: Real Life Application, Options, Connectors, Separate Functions, Cover, 4/8 Sphere Cover Calculator ... 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