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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 Cuboctahedron Cuboctahedron Uniform Polyhedron: U7 Archimedean Solid: A1 Vertices: 12 Edges: 24 Faces: 14 Wythoff symbol: 2|3 4 Symmetry Group: octahedral Vertex Configuration: {3, 4, 3, 4} Dual: rhombic dodecahedron V: s3 * 5/3 * √2 A: s2 * (6 + 2 * √3) rinner: s * 3/4 router: s s = , V = , A = , rinner = , router = , ravg = Preparing the Cuboctahedron Cuboctahedron L0/0V (original) Cuboctahedron L1/1V flat (only triangles & flat) Cuboctahedron L1/1V (only triangles & normalized) The 6 squares are centerpoint triangulated for further processing. 1V/L1 Cuboctahedron Dome Geodesic 1V Cuboctahedron Dome (front view) Geodesic 1V Cuboctahedron Dome (bird view) vertices/connectors: 12 9 x 4-way 3 x 6-way 1V Cuboctahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 12: 0.76537 (22.50°) B x 15: 1.00000 (30.00°) total 27 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: 0.817 or 40.83% 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 1V Cuboctahedron Dome Calculator Geodesic 1V Cuboctahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 12, Blath = x 15, h = Cut optimization: normalize Alath+Blath = 1.0, therefore Alath+Blath = cuts: 12 x (Alath+Blath): 3 x (Blath): total 15 laths to cut 2V/L2 Cuboctahedron Dome Geodesic 2V Cuboctahedron Dome (front view) Geodesic 2V Cuboctahedron Dome (bird view) vertices/connectors: 39 15 x 4-way 24 x 6-way 2V Cuboctahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 24: 0.39018 (11.25°) B x 24: 0.42291 (12.21°) C x 30: 0.51764 (15.00°) D x 12: 0.54120 (15.70°) E x 12: 0.57735 (16.78°) total 102 struts (5 kinds)1) strut variance 48.0% faces: 64 (3-sided) A-A-D x 12 (46.09°, 46.09°, 87.81°) A-B-C x 24 (47.72°, 53.31°, 78.96°) B-B-D x 12 (50.22°, 50.22°, 79.56°) C-C-E x 12 (56.10°, 56.10°, 67.80°) E-E-E x 4 (60.00°, 60.00°, 60.00°) 5 kinds of faces2) diameter: 2.000, radius: 1.000 height: 0.943 or 47.15% 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 Cuboctahedron Dome Calculator Geodesic 2V Cuboctahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 24, Blath = x 24, Clath = x 30, Dlath = x 12, Elath = x 12, h = Cut optimization: normalize Alath+Elath = 1.0, therefore Alath+Elath = cuts: 12 x (Alath+Elath): 12 x (Alath+Dlath): 24 x (Blath+Clath): 6 x (Clath): total 54 laths to cut There might be a better optimization available, but that's what I came up at the first sight. 3V Cuboctahedron Dome Geodesic 3V Cuboctahedron Dome (front view) Geodesic 3V Cuboctahedron Dome (bird view) vertices/connectors: 82 21 x 4-way 61 x 6-way 3V Cuboctahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 24: 0.25480 (7.32°) B x 12: 0.27355 (7.86°) C x 24: 0.27468 (7.89°) D x 24: 0.27569 (7.92°) E x 24: 0.29082 (8.36°) F x 30: 0.33193 (9.55°) G x 12: 0.35741 (10.29°) H x 24: 0.36346 (10.47°) I x 27: 0.37796 (10.89°) J x 24: 0.38517 (11.10°) total 225 struts (10 kinds)1) strut variance 51.2% faces: 144 (3-sided) A-A-G x 12 (45.47°, 45.47°, 89.07°) A-D-F x 24 (48.51°, 54.14°, 77.35°) B-C-H x 24 (48.34°, 48.60°, 83.05°) C-C-G x 12 (49.42°, 49.42°, 81.16°) D-E-H x 24 (48.28°, 51.94°, 79.78°) E-E-I x 12 (49.46°, 49.46°, 81.07°) F-F-I x 12 (55.29°, 55.29°, 69.42°) I-J-J x 24 (58.77°, 60.62°, 60.62°) 8 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 Cuboctahedron Dome Calculator Geodesic 3V Cuboctahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 24, Blath = x 12, Clath = x 24, Dlath = x 24, Elath = x 24, Flath = x 30, Glath = x 12, Hlath = x 24, Ilath = x 27, Jlath = x 24, h = 4V Cuboctahedron Dome Geodesic 4V Cuboctahedron Dome (front view) Geodesic 4V Cuboctahedron Dome (bird view) vertices/connectors: 141 27 x 4-way 114 x 6-way 4V Cuboctahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 24: 0.18820 (5.40°) B x 24: 0.20036 (5.75°) C x 24: 0.20240 (5.81°) D x 24: 0.20386 (5.85°) E x 24: 0.20571 (5.90°) F x 24: 0.21338 (6.12°) G x 24: 0.21629 (6.21°) H x 24: 0.21961 (6.30°) I x 30: 0.24197 (6.95°) J x 24: 0.26458 (7.60°) K x 12: 0.26497 (7.61°) L x 24: 0.27316 (7.85°) M x 24: 0.27685 (7.96°) N x 12: 0.27735 (7.97°) O x 30: 0.28011 (8.05°) P x 12: 0.28580 (8.22°) Q x 24: 0.29180 (8.39°) R x 12: 0.30151 (8.67°) total 396 struts (18 kinds)1) strut variance 60.2% faces: 256 (3-sided) A-A-K x 12 (45.25°, 45.25°, 89.50°) A-C-I x 24 (49.12°, 54.41°, 76.47°) B-B-K x 12 (48.61°, 48.61°, 82.78°) B-D-L x 24 (46.95°, 48.03°, 85.02°) C-F-J x 24 (48.66°, 52.34°, 78.99°) D-E-J x 24 (49.46°, 50.06°, 80.48°) E-G-L x 24 (47.98°, 51.37°, 80.65°) F-H-O x 24 (48.73°, 50.67°, 80.60°) G-G-P x 12 (48.65°, 48.65°, 82.70°) H-H-P x 12 (49.40°, 49.40°, 81.19°) I-I-N x 12 (55.04°, 55.04°, 69.91°) M-M-N x 12 (59.94°, 59.94°, 60.12°) M-O-Q x 24 (57.85°, 58.95°, 63.19°) Q-Q-R x 12 (58.89°, 58.89°, 62.21°) R-R-R x 4 (60.00°, 60.00°, 60.00°) 15 kinds of faces2) diameter: 2.000, radius: 1.000 height: 0.985 or 49.24% 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 Cuboctahedron Dome Calculator Geodesic 4V Cuboctahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 24, Blath = x 24, Clath = x 24, Dlath = x 24, Elath = x 24, Flath = x 24, Glath = x 24, Hlath = x 24, Ilath = x 30, Jlath = x 24, Klath = x 12, Llath = x 24, Mlath = x 24, Nlath = x 12, Olath = x 30, Plath = x 12, Qlath = x 24, Rlath = x 12, h = L3 Cuboctahedron Dome Geodesic L3 Cuboctahedron Dome (front view) Geodesic L3 Cuboctahedron Dome (bird view) vertices/connectors: 141 27 x 4-way 114 x 6-way L3 Cuboctahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 48: 0.19603 (5.62°) B x 24: 0.19991 (5.74°) C x 24: 0.20044 (5.75°) D x 48: 0.21266 (6.10°) E x 24: 0.21671 (6.22°) F x 24: 0.21746 (6.24°) G x 60: 0.26105 (7.50°) H x 24: 0.26433 (7.59°) I x 24: 0.26899 (7.73°) J x 24: 0.27316 (7.85°) K x 12: 0.27590 (7.93°) L x 12: 0.27686 (7.96°) M x 24: 0.29180 (8.39°) N x 12: 0.29886 (8.59°) O x 12: 0.30151 (8.67°) total 396 struts (15 kinds)1) strut variance 53.8% faces: 256 (3-sided) A-A-K x 12 (45.27°, 45.27°, 89.47°) A-B-J x 24 (45.78°, 46.96°, 87.27°) A-D-H x 24 (47.00°, 52.53°, 80.47°) A-E-G x 24 (47.32°, 54.37°, 78.32°) B-B-K x 12 (46.36°, 46.36°, 87.28°) C-D-G x 24 (48.74°, 52.92°, 78.34°) C-E-H x 24 (48.00°, 53.47°, 78.53°) D-D-L x 12 (49.39°, 49.39°, 81.22°) D-F-J x 24 (49.80°, 51.36°, 78.84°) F-F-L x 12 (50.46°, 50.46°, 79.07°) G-G-N x 12 (55.08°, 55.08°, 69.83°) G-I-M x 24 (55.32°, 57.91°, 66.78°) I-I-N x 12 (56.25°, 56.25°, 67.50°) M-M-O x 12 (58.89°, 58.89°, 62.21°) O-O-O x 4 (60.00°, 60.00°, 60.00°) 15 kinds of faces2) diameter: 2.000, radius: 1.000 height: 0.985 or 49.24% 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 Cuboctahedron Dome Calculator Geodesic L3 Cuboctahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 48, Blath = x 24, Clath = x 24, Dlath = x 48, Elath = x 24, Flath = x 24, Glath = x 60, Hlath = x 24, Ilath = x 24, Jlath = x 24, Klath = x 12, Llath = x 12, Mlath = x 24, Nlath = x 12, Olath = 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 ... 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