Home   ·   About   ·   Tipi   ·   Yurt / Ger   ·   Dome   ·   Features   ·   Gallery About Overview License Tipi Overview Tipi Diary Yurt / Ger Overview Yurt Notes & Calculator Yurt / Ger Diary Yurt Builder Conference Living Notes Material Notes Dome Overview Geodesic Dome Geodesic Dome Notes & Calculator 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 Features Overview Chris Aeppli Claudius Kern René K. 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 Cube Cube Uniform Polyhedron: U6 aka Hexahedron Platonic Solid Platonic Element: Earth Vertices: 8 Edges: 12 Faces: 6 Wythoff symbol: 3|2 4 Symmetry Group: octahedral Vertex Configuration: {4, 4, 4} Dual: octahedron V: s3 A: s2 * 6 rinner: s / 2 router: s / 2 * √3 s = , V = , A = , rinner = , router = , ravg = Preparing the Cube Cube L0/0V (original) Cube L1/1V flat (only triangles & flat) Cube L1/1V (only triangles & normalized) The 6 squares are triangulated for further processing. 1V/L1 Cube Dome Geodesic 1V Cube Dome (front view) Geodesic 1V Cube Dome (bird view) vertices/connectors: 10 2 x 3-way 6 x 4-way 2 x 6-way 1V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 14: 0.91940 (27.37°) B x 7: 1.15470 (35.26°) total 21 struts (2 kinds)1) strut variance 25.6% faces: 12 (3-sided) A-A-B x 12 (51.10°, 51.10°, 77.80°) diameter: 2.000, radius: 1.000 height: 0.817 or 40.83% of diameter 1V Cube Dome Calculator Geodesic 1V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 14, Blath = x 7, h = 2V/L2 Cube Dome Geodesic 2V Cube Dome (front view) Geodesic 2V Cube Dome (bird view) vertices/connectors: 31 2 x 3-way 12 x 4-way 17 x 6-way 2V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 28: 0.47313 (13.68°) B x 24: 0.53327 (15.46°) C x 14: 0.60581 (17.63°) D x 12: 0.65012 (18.97°) total 78 struts (4 kinds)1) strut variance 37.4% faces: 48 (3-sided) A-A-D x 12 (46.60°, 46.60°, 86.80°) A-B-C x 24 (48.57°, 57.69°, 73.75°) B-B-D x 12 (52.45°, 52.45°, 75.11°) 3 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 Cube Dome Calculator Geodesic 2V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 28, Blath = x 24, Clath = x 14, Dlath = x 12, h = 3V Cube Dome Geodesic 3V Cube Dome (front view) Geodesic 3V Cube Dome (bird view) vertices/connectors: 64 2 x 3-way 18 x 4-way 44 x 6-way 3V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 28: 0.30559 (8.79°) B x 14: 0.34007 (9.79°) C x 6: 0.34314 (9.88°) D x 18: 0.34315 (9.88°) E x 24: 0.34511 (9.94°) F x 24: 0.36954 (10.65°) G x 14: 0.38165 (11.00°) H x 12: 0.42710 (12.33°) I x 24: 0.43771 (12.64°) J x 7: 0.45883 (13.26°) total 171 struts (10 kinds)1) strut variance 50.1% faces: 108 (3-sided) A-A-H x 12 (45.67°, 45.67°, 88.66°) A-E-G x 24 (49.42°, 59.06°, 71.52°) B-C-I x 6 (49.86°, 50.46°, 79.68°) B-D-I x 18 (49.85°, 50.48°, 79.67°) C-D-H x 6 (51.50°, 51.52°, 76.97°) D-D-H x 6 (51.52°, 51.52°, 76.96°) E-F-I x 24 (49.74°, 54.80°, 75.46°) F-F-J x 12 (51.62°, 51.62°, 76.75°) 8 kinds of faces2) diameter: 2.000, radius: 1.000 height: 0.973 or 48.67% 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 Cube Dome Calculator Geodesic 3V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 28, Blath = x 14, Clath = x 6, Dlath = x 18, Elath = x 24, Flath = x 24, Glath = x 14, Hlath = x 12, Ilath = x 24, Jlath = x 7, h = 4V Cube Dome Geodesic 4V Cube Dome (front view) Geodesic 4V Cube Dome (bird view) vertices/connectors: 109 2 x 3-way 24 x 4-way 83 x 6-way 4V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 28: 0.22393 (6.43°) B x 24: 0.24654 (7.08°) C x 24: 0.25137 (7.22°) D x 28: 0.25259 (7.26°) E x 24: 0.25756 (7.40°) F x 24: 0.26734 (7.68°) G x 14: 0.27477 (7.90°) H x 24: 0.27584 (7.93°) I x 24: 0.28059 (8.06°) J x 24: 0.31367 (9.02°) K x 12: 0.31469 (9.05°) L x 24: 0.32956 (9.48°) M x 14: 0.33820 (9.74°) N x 12: 0.35141 (10.12°) total 300 struts (14 kinds)1) strut variance 56.9% faces: 192 (3-sided) A-A-K x 12 (45.35°, 45.35°, 89.30°) A-C-G x 24 (50.12°, 59.51°, 70.37°) B-B-K x 12 (50.33°, 50.33°, 79.34°) B-D-L x 24 (47.88°, 49.47°, 82.65°) C-F-J x 24 (50.51°, 55.14°, 74.36°) D-E-J x 24 (51.34°, 52.78°, 75.88°) E-H-L x 24 (49.39°, 54.37°, 76.24°) F-I-M x 24 (50.13°, 53.68°, 76.19°) H-H-N x 12 (50.43°, 50.43°, 79.15°) I-I-N x 12 (51.23°, 51.23°, 77.53°) 10 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 4V Cube Dome Calculator Geodesic 4V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 28, Blath = x 24, Clath = x 24, Dlath = x 28, Elath = x 24, Flath = x 24, Glath = x 14, Hlath = x 24, Ilath = x 24, Jlath = x 24, Klath = x 12, Llath = x 24, Mlath = x 14, Nlath = x 12, h = L3 Cube Dome Geodesic L3 Cube Dome (front view) Geodesic L3 Cube Dome (bird view) vertices/connectors: 109 2 x 3-way 24 x 4-way 83 x 6-way L3 Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 56: 0.23826 (6.84°) B x 24: 0.24530 (7.05°) C x 24: 0.24658 (7.08°) D x 48: 0.26908 (7.73°) E x 24: 0.27641 (7.94°) F x 24: 0.27864 (8.01°) G x 28: 0.30653 (8.82°) H x 24: 0.31291 (9.00°) I x 24: 0.32956 (9.48°) J x 12: 0.33455 (9.63°) K x 12: 0.33727 (9.71°) total 300 struts (11 kinds)1) strut variance 41.5% faces: 192 (3-sided) A-A-J x 12 (45.41°, 45.41°, 89.18°) A-B-I x 24 (46.15°, 47.93°, 85.92°) A-D-H x 24 (47.61°, 56.51°, 75.88°) A-E-G x 24 (47.92°, 59.41°, 72.67°) B-B-J x 12 (47.00°, 47.00°, 86.00°) C-D-G x 24 (50.22°, 57.00°, 72.78°) C-E-H x 24 (48.99°, 57.76°, 73.24°) D-D-K x 12 (51.19°, 51.19°, 77.62°) D-F-I x 24 (51.69°, 54.33°, 73.97°) F-F-K x 12 (52.75°, 52.75°, 74.51°) 10 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 L3 Cube Dome Calculator Geodesic L3 Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 56, Blath = x 24, Clath = x 24, Dlath = x 48, Elath = x 24, Flath = x 24, Glath = x 28, Hlath = x 24, Ilath = x 24, Jlath = x 12, Klath = x 12, 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 ... Home   ·   About   ·   Tipi   ·   Yurt   ·   Dome   ·   Features   ·   Gallery Print   ·   Bookmark 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 Web-Site powered by FreeBSD & Debian/Linux - 100% Open Source