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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 Truncated Octahedron Truncated Octahedron Uniform Polyhedron: U8 Archimedean Solid: A12 Vertices: 24 Edges: 36 Faces: 14 Wythoff symbol: 2 4|3 Symmetry Group: octahedral Vertex Configuration: {6, 6, 4} Dual: tetrakis hexahedron V: s3 * 8 * √2 A: s2 * (6 + 12 * √3) rinner: s * 9/20 * √10 router: s / 2 * √10 s = , V = , A = , rinner = , router = , ravg = Preparing the Truncated Octahedron Truncated Octahedron L0/0V (original) Truncated Octahedron L1/1V flat (only triangles & flat) Truncated Octahedron L1/1V (only triangles & normalized) The 8 hexagons and 6 squares are centerpoint triangulated for further processing. 1V/L1 Truncated Octahedron Dome Geodesic 1V Truncated Octahedron Dome (front view) Geodesic 1V Truncated Octahedron Dome (bird view) vertices/connectors: 25 4 x 3-way 9 x 4-way 12 x 6-way 1V Truncated Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 16: 0.45951 (13.28°) B x 2: 0.63245 (18.43°) C x 18: 0.63246 (18.44°) D x 24: 0.67142 (19.62°) total 60 struts (4 kinds)1) strut variance 46.1% faces: 36 (3-sided) A-A-C x 12 (46.51°, 46.51°, 86.98°) B-D-D x 2 (56.19°, 61.90°, 61.90°) C-D-D x 22 (56.20°, 61.90°, 61.90°) 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 1V Truncated Octahedron Dome Calculator Geodesic 1V Truncated Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 16, Blath = x 2, Clath = x 18, Dlath = x 24, h = 2V/L2 Truncated Octahedron Dome Geodesic 2V Truncated Octahedron Dome (front view) Geodesic 2V Truncated Octahedron Dome (bird view) vertices/connectors: 85 4 x 3-way 21 x 4-way 60 x 6-way 2V Truncated Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 32: 0.23131 (6.64°) B x 24: 0.23773 (6.83°) C x 40: 0.32036 (9.22°) D x 12: 0.32492 (9.35°) E x 24: 0.33571 (9.66°) F x 48: 0.34069 (9.81°) G x 48: 0.35506 (10.23°) total 228 struts (7 kinds)1) strut variance 53.5% faces: 144 (3-sided) A-A-D x 12 (45.39°, 45.39°, 89.23°) A-B-C x 24 (46.08°, 47.75°, 86.17°) B-B-D x 12 (46.89°, 46.89°, 86.22°) C-F-G x 48 (54.79°, 60.32°, 64.89°) E-F-F x 24 (59.03°, 60.48°, 60.48°) E-G-G x 24 (56.42°, 61.79°, 61.79°) 6 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 Truncated Octahedron Dome Calculator Geodesic 2V Truncated Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 32, Blath = x 24, Clath = x 40, Dlath = x 12, Elath = x 24, Flath = x 48, Glath = x 48, h = 3V Truncated Octahedron Dome Geodesic 3V Truncated Octahedron Dome (front view) Geodesic 3V Truncated Octahedron Dome (bird view) vertices/connectors: 181 4 x 3-way 33 x 4-way 144 x 6-way 3V Truncated Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 32: 0.15315 (4.39°) B x 16: 0.15689 (4.50°) C x 24: 0.15697 (4.50°) D x 24: 0.15706 (4.50°) E x 24: 0.16057 (4.60°) F x 40: 0.21070 (6.05°) G x 12: 0.21595 (6.20°) H x 24: 0.21723 (6.24°) I x 20: 0.22086 (6.34°) J x 24: 0.22224 (6.38°) K x 96: 0.22365 (6.42°) L x 48: 0.23512 (6.75°) M x 24: 0.23594 (6.77°) N x 48: 0.23610 (6.78°) O x 48: 0.23760 (6.82°) total 504 struts (15 kinds)1) strut variance 55.1% faces: 324 (3-sided) A-A-G x 12 (45.17°, 45.17°, 89.65°) A-D-F x 24 (46.46°, 48.02°, 85.52°) B-C-H x 24 (46.20°, 46.24°, 87.57°) C-C-G x 12 (46.54°, 46.54°, 86.93°) D-E-H x 24 (46.20°, 47.55°, 86.25°) E-E-I x 12 (46.55°, 46.55°, 86.90°) F-K-L x 48 (54.62°, 59.91°, 65.47°) I-N-N x 24 (55.78°, 62.11°, 62.11°) J-K-K x 24 (59.59°, 60.21°, 60.21°) J-O-O x 24 (55.76°, 62.12°, 62.12°) K-L-N x 48 (56.66°, 61.45°, 61.90°) K-M-O x 48 (56.36°, 61.44°, 62.21°) 12 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 Truncated Octahedron Dome Calculator Geodesic 3V Truncated Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 32, Blath = x 16, Clath = x 24, Dlath = x 24, Elath = x 24, Flath = x 40, Glath = x 12, Hlath = x 24, Ilath = x 20, Jlath = x 24, Klath = x 96, Llath = x 48, Mlath = x 24, Nlath = x 48, Olath = x 48, h = 4V Truncated Octahedron Dome Geodesic 4V Truncated Octahedron Dome (front view) Geodesic 4V Truncated Octahedron Dome (bird view) vertices/connectors: 313 4 x 3-way 45 x 4-way 264 x 6-way 4V Truncated Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 32: 0.11427 (3.28°) B x 24: 0.11666 (3.34°) C x 24: 0.11683 (3.35°) D x 32: 0.11742 (3.37°) E x 24: 0.11755 (3.37°) F x 24: 0.11965 (3.43°) G x 24: 0.11984 (3.44°) H x 24: 0.12061 (3.46°) I x 40: 0.15644 (4.49°) J x 36: 0.16131 (4.63°) K x 24: 0.16300 (4.67°) L x 40: 0.16496 (4.73°) M x 48: 0.16522 (4.74°) N x 24: 0.16525 (4.74°) O x 12: 0.16571 (4.75°) P x 48: 0.16582 (4.76°) Q x 48: 0.16845 (4.83°) R x 24: 0.16996 (4.87°) S x 48: 0.17431 (5.00°) T x 48: 0.17490 (5.02°) U x 48: 0.17555 (5.04°) V x 48: 0.17612 (5.05°) W x 48: 0.17760 (5.09°) X x 48: 0.17888 (5.13°) Y x 48: 0.18059 (5.18°) total 888 struts (25 kinds)1) strut variance 58.0% faces: 576 (3-sided) A-A-J x 12 (45.12°, 45.12°, 89.76°) A-C-I x 24 (46.74°, 48.09°, 85.18°) B-B-J x 12 (46.28°, 46.28°, 87.43°) B-D-K x 24 (45.69°, 46.05°, 88.26°) C-F-J x 24 (46.25°, 47.76°, 86.00°) D-E-J x 24 (46.60°, 46.71°, 86.69°) E-G-K x 24 (46.08°, 47.20°, 86.72°) F-H-L x 24 (46.41°, 46.86°, 86.73°) G-G-O x 12 (46.25°, 46.25°, 87.51°) H-H-O x 12 (46.61°, 46.61°, 86.78°) I-P-T x 48 (54.57°, 59.75°, 65.68°) L-S-W x 48 (55.91°, 61.03°, 63.06°) M-S-T x 48 (56.47°, 61.58°, 61.95°) M-V-X x 48 (55.46°, 61.41°, 63.13°) N-P-P x 24 (59.80°, 60.10°, 60.10°) N-U-U x 24 (56.16°, 61.92°, 61.92°) Q-U-V x 48 (57.22°, 61.24°, 61.54°) Q-X-Y x 48 (55.86°, 61.56°, 62.58°) R-W-W x 24 (57.19°, 61.41°, 61.41°) R-Y-Y x 24 (56.15°, 61.92°, 61.92°) 20 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 Truncated Octahedron Dome Calculator Geodesic 4V Truncated Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 32, Blath = x 24, Clath = x 24, Dlath = x 32, Elath = x 24, Flath = x 24, Glath = x 24, Hlath = x 24, Ilath = x 40, Jlath = x 36, Klath = x 24, Llath = x 40, Mlath = x 48, Nlath = x 24, Olath = x 12, Plath = x 48, Qlath = x 48, Rlath = x 24, Slath = x 48, Tlath = x 48, Ulath = x 48, Vlath = x 48, Wlath = x 48, Xlath = x 48, Ylath = x 48, h = L3 Truncated Octahedron Dome Geodesic L3 Truncated Octahedron Dome (front view) Geodesic L3 Truncated Octahedron Dome (bird view) vertices/connectors: 313 4 x 3-way 45 x 4-way 264 x 6-way L3 Truncated Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 64: 0.11585 (3.32°) B x 24: 0.11663 (3.34°) C x 24: 0.11667 (3.34°) D x 48: 0.11908 (3.41°) E x 48: 0.11988 (3.44°) F x 80: 0.16070 (4.61°) G x 24: 0.16129 (4.63°) H x 48: 0.16266 (4.67°) I x 24: 0.16300 (4.67°) J x 24: 0.16362 (4.69°) K x 48: 0.16845 (4.83°) L x 6: 0.17034 (4.89°) M x 18: 0.17035 (4.89°) N x 24: 0.17056 (4.89°) O x 96: 0.17097 (4.90°) P x 96: 0.17281 (4.96°) Q x 96: 0.17824 (5.11°) R x 48: 0.18000 (5.16°) S x 48: 0.18023 (5.17°) total 888 struts (19 kinds)1) strut variance 55.6% faces: 576 (3-sided) A-A-J x 12 (45.06°, 45.06°, 89.88°) A-B-I x 24 (45.26°, 45.66°, 89.07°) A-D-G x 24 (45.79°, 47.49°, 86.72°) A-E-F x 24 (45.96°, 48.09°, 85.95°) B-B-J x 12 (45.45°, 45.45°, 89.10°) C-D-F x 24 (46.42°, 47.67°, 85.92°) C-E-G x 24 (46.19°, 47.86°, 85.95°) D-D-J x 12 (46.62°, 46.62°, 86.76°) D-E-I x 24 (46.79°, 47.21°, 86.00°) E-E-J x 12 (46.98°, 46.98°, 86.04°) F-O-R x 48 (54.42°, 59.93°, 65.64°) F-P-Q x 48 (54.47°, 61.05°, 64.48°) H-O-Q x 48 (55.49°, 60.01°, 64.50°) H-P-R x 48 (54.88°, 60.31°, 64.81°) K-O-P x 48 (58.65°, 60.14°, 61.21°) K-Q-S x 48 (56.05°, 61.38°, 62.58°) L-O-O x 6 (59.73°, 60.14°, 60.14°) L-P-P x 6 (59.05°, 60.48°, 60.48°) M-O-O x 18 (59.77°, 60.12°, 60.12°) M-P-P x 18 (59.08°, 60.46°, 60.46°) N-Q-Q x 24 (57.20°, 61.40°, 61.40°) N-S-S x 24 (56.51°, 61.75°, 61.75°) 22 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 Truncated Octahedron Dome Calculator Geodesic L3 Truncated Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 64, Blath = x 24, Clath = x 24, Dlath = x 48, Elath = x 48, Flath = x 80, Glath = x 24, Hlath = x 48, Ilath = x 24, Jlath = x 24, Klath = x 48, Llath = x 6, Mlath = x 18, Nlath = x 24, Olath = x 96, Plath = x 96, Qlath = x 96, Rlath = x 48, Slath = x 48, 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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