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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 7V Octahedron Dome Geodesic 7V Octahedron Dome (front view) Geodesic 7V Octahedron Dome (bird view) vertices/connectors: 113 4 x 3-way 25 x 4-way 84 x 6-way 7V Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 16: 0.16496 (4.73°) B x 24: 0.19598 (5.62°) C x 16: 0.21494 (6.17°) D x 12: 0.23250 (6.68°) E x 24: 0.23440 (6.73°) F x 24: 0.26112 (7.50°) G x 16: 0.26224 (7.53°) H x 24: 0.26495 (7.61°) I x 24: 0.27001 (7.76°) J x 24: 0.28228 (8.11°) K x 8: 0.28284 (8.13°) L x 24: 0.30770 (8.85°) M x 12: 0.30861 (8.88°) N x 24: 0.31244 (8.99°) O x 24: 0.32892 (9.47°) P x 12: 0.34300 (9.88°) total 308 struts (16 kinds)1) strut variance 107.9% faces: 196 (3-sided) A-A-D x 12 (45.21°, 45.21°, 89.59°) B-B-D x 12 (53.62°, 53.62°, 72.76°) B-C-H x 24 (46.78°, 53.04°, 80.18°) E-F-H x 24 (52.91°, 62.69°, 64.40°) E-G-J x 24 (50.83°, 60.14°, 69.03°) F-F-M x 12 (53.77°, 53.77°, 72.45°) I-I-K x 12 (58.42°, 58.42°, 63.16°) I-J-N x 24 (53.71°, 57.44°, 68.85°) L-L-M x 12 (59.90°, 59.90°, 60.19°) L-N-O x 24 (57.28°, 58.66°, 64.06°) O-O-P x 12 (58.57°, 58.57°, 62.86°) P-P-P x 4 (60.00°, 60.00°, 60.00°) 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 7V Octahedron Dome Calculator Geodesic 7V Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 16, Blath = x 24, Clath = x 16, Dlath = x 12, Elath = x 24, Flath = x 24, Glath = x 16, Hlath = x 24, Ilath = x 24, Jlath = x 24, Klath = x 8, Llath = x 24, Mlath = x 12, Nlath = x 24, Olath = x 24, Plath = x 12, h = 8V Octahedron Dome Geodesic 8V Octahedron Dome (front view) Geodesic 8V Octahedron Dome (bird view) vertices/connectors: 145 4 x 3-way 29 x 4-way 112 x 6-way 8V Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 16: 0.14178 (4.07°) B x 24: 0.16439 (4.71°) C x 16: 0.17961 (5.15°) D x 24: 0.19238 (5.52°) E x 12: 0.20000 (5.74°) F x 24: 0.21272 (6.11°) G x 16: 0.21823 (6.26°) H x 24: 0.22192 (6.37°) I x 24: 0.22504 (6.46°) J x 24: 0.24197 (6.95°) K x 24: 0.24229 (6.96°) L x 16: 0.24437 (7.02°) M x 24: 0.24915 (7.16°) N x 24: 0.25786 (7.41°) O x 12: 0.25820 (7.42°) P x 24: 0.27685 (7.96°) Q x 12: 0.27735 (7.97°) R x 24: 0.28011 (8.05°) S x 24: 0.29180 (8.39°) T x 12: 0.30151 (8.67°) total 400 struts (20 kinds)1) strut variance 112.6% faces: 256 (3-sided) A-A-E x 12 (45.15°, 45.15°, 89.69°) B-B-E x 12 (52.54°, 52.54°, 74.93°) B-C-I x 24 (46.28°, 52.15°, 81.57°) D-F-I x 24 (52.06°, 60.68°, 67.26°) D-G-K x 24 (49.05°, 58.93°, 72.02°) F-F-O x 12 (52.63°, 52.63°, 74.74°) H-J-L x 24 (54.28°, 62.31°, 63.41°) H-K-N x 24 (52.56°, 60.11°, 67.34°) J-J-Q x 12 (55.04°, 55.04°, 69.91°) M-M-O x 12 (58.80°, 58.80°, 62.40°) M-N-R x 24 (55.00°, 57.97°, 67.03°) P-P-Q x 12 (59.94°, 59.94°, 60.12°) P-R-S x 24 (57.85°, 58.95°, 63.19°) S-S-T x 12 (58.89°, 58.89°, 62.21°) T-T-T x 4 (60.00°, 60.00°, 60.00°) 15 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 8V Octahedron Dome Calculator Geodesic 8V Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 16, Blath = x 24, Clath = x 16, Dlath = x 24, Elath = x 12, Flath = x 24, Glath = x 16, Hlath = x 24, Ilath = x 24, Jlath = x 24, Klath = x 24, Llath = x 16, Mlath = x 24, Nlath = x 24, Olath = x 12, Plath = x 24, Qlath = x 12, Rlath = x 24, Slath = x 24, Tlath = x 12, h = L4 Octahedron Dome Geodesic L4 Octahedron Dome (front view) Geodesic L4 Octahedron Dome (bird view) vertices/connectors: 145 4 x 3-way 29 x 4-way 112 x 6-way L4 Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 64: 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 48: 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 400 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: 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 L4 Octahedron Dome Calculator Geodesic L4 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 24, Flath = x 24, Glath = x 48, 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 = Now the advantage of L3 vs 4V is more apparent, the L3 has various almost even horizontal bases where 4V has only one at 1/2 height. So, let's explore 7/16 and 9/16 variants as well. L4 7/16 Octahedron Dome Geodesic L4 7/16 Octahedron Dome (front view) Geodesic L4 7/16 Octahedron Dome (bird view) vertices/connectors: 113 4 x 3-way 25 x 4-way 84 x 6-way L4 7/16 Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 28: 0.19603 (5.62°) B x 16: 0.19991 (5.74°) C x 24: 0.20044 (5.75°) D x 40: 0.21266 (6.10°) E x 16: 0.21671 (6.22°) F x 24: 0.21746 (6.24°) G x 40: 0.26105 (7.50°) H x 16: 0.26433 (7.59°) I x 24: 0.26899 (7.73°) J x 16: 0.27316 (7.85°) K x 4: 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 308 struts (15 kinds)1) strut variance 53.8% faces: 196 (3-sided) A-A-K x 4 (45.27°, 45.27°, 89.47°) A-B-J x 16 (45.78°, 46.96°, 87.27°) A-D-H x 16 (47.00°, 52.53°, 80.47°) A-E-G x 16 (47.32°, 54.37°, 78.32°) B-B-K x 4 (46.36°, 46.36°, 87.28°) C-D-G x 24 (48.74°, 52.92°, 78.34°) C-E-H x 16 (48.00°, 53.47°, 78.53°) D-D-L x 12 (49.39°, 49.39°, 81.22°) D-F-J x 16 (49.80°, 51.36°, 78.84°) F-F-L x 12 (50.46°, 50.46°, 79.07°) G-G-N x 8 (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: 0.805 or 40.25% 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 L4 7/16 Octahedron Dome Calculator Geodesic L4 7/16 Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 28, Blath = x 16, Clath = x 24, Dlath = x 40, Elath = x 16, Flath = x 24, Glath = x 40, Hlath = x 16, Ilath = x 24, Jlath = x 16, Klath = x 4, Llath = x 12, Mlath = x 24, Nlath = x 12, Olath = x 12, h = L4 9/16 Octahedron Dome Geodesic L4 9/16 Octahedron Dome (front view) Geodesic L4 9/16 Octahedron Dome (bird view) vertices/connectors: 173 29 x 4-way 4 x 5-way 140 x 6-way L4 9/16 Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 68: 0.19603 (5.62°) B x 40: 0.19991 (5.74°) C x 32: 0.20044 (5.75°) D x 56: 0.21266 (6.10°) E x 32: 0.21671 (6.22°) F x 32: 0.21746 (6.24°) G x 56: 0.26105 (7.50°) H x 32: 0.26433 (7.59°) I x 24: 0.26899 (7.73°) J x 32: 0.27316 (7.85°) K x 20: 0.27590 (7.93°) L x 12: 0.27686 (7.96°) M x 24: 0.29180 (8.39°) N x 16: 0.29886 (8.59°) O x 12: 0.30151 (8.67°) total 488 struts (15 kinds)1) strut variance 53.8% faces: 316 (3-sided) A-A-K x 20 (45.27°, 45.27°, 89.47°) A-B-J x 32 (45.78°, 46.96°, 87.27°) A-D-H x 32 (47.00°, 52.53°, 80.47°) A-E-G x 32 (47.32°, 54.37°, 78.32°) B-B-K x 20 (46.36°, 46.36°, 87.28°) C-D-G x 24 (48.74°, 52.92°, 78.34°) C-E-H x 32 (48.00°, 53.47°, 78.53°) D-D-L x 12 (49.39°, 49.39°, 81.22°) D-F-J x 32 (49.80°, 51.36°, 78.84°) F-F-L x 12 (50.46°, 50.46°, 79.07°) G-G-N x 16 (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: 1.211 or 60.57% 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 L4 9/16 Octahedron Dome Calculator Geodesic L4 9/16 Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 68, Blath = x 40, Clath = x 32, Dlath = x 56, Elath = x 32, Flath = x 32, Glath = x 56, Hlath = x 32, Ilath = x 24, Jlath = x 32, Klath = x 20, Llath = x 12, Mlath = x 24, Nlath = x 16, Olath = x 12, h = The L4 6/16 and 10/16 Octahedron Dome would be also possible, but the leveling gets already bigger as you see. L4 6/16 Octahedron Dome L4 10/16 Octahedron Dome 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