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Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019 5V 7/15 Icosahedron Dome Geodesic 5V 7/15 Icosahedron Dome (front view) Geodesic 5V 7/15 Icosahedron Dome (bird view) vertices/connectors: 126 25 x 4-way 6 x 5-way 95 x 6-way 5V 7/15 Icosahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 30: 0.19815 (5.69°) B x 60: 0.22569 (6.48°) C x 30: 0.23160 (6.65°) D x 30: 0.23179 (6.66°) E x 50: 0.24509 (7.04°) F x 10: 0.24535 (7.05°) G x 60: 0.24724 (7.10°) H x 50: 0.25517 (7.33°) I x 30: 0.26160 (7.52°) total 350 struts (9 kinds)1) strut variance 32.1% faces: 225 (3-sided) A-A-D x 30 (54.19°, 54.19°, 71.61°) B-B-D x 30 (59.10°, 59.10°, 61.80°) B-C-G x 60 (56.13°, 58.44°, 65.43°) E-E-F x 20 (59.96°, 59.96°, 60.08°) E-G-H x 50 (58.37°, 59.18°, 62.45°) H-H-I x 25 (59.17°, 59.17°, 61.67°) I-I-I x 10 (60.00°, 60.00°, 60.00°) 7 kinds of faces2) diameter: 2.000, radius: 1.000 height: 0.896 or 44.78% 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 5V 7/15 Icosahedron Dome Calculator Geodesic 5V 7/15 Icosahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 30, Blath = x 60, Clath = x 30, Dlath = x 30, Elath = x 50, Flath = x 10, Glath = x 60, Hlath = x 50, Ilath = x 30, h = Cut optimization: normalize Elath+Elath = 1.0, therefore Elath+Elath = cuts: 30 x (Alath+Glath): 50 x (Blath+Flath): 5 x (Blath+Blath): 60 x (Clath+Dlath): 30 x (Elath+Elath): total 175 laths to cut 5V 8/15 Icosahedron Dome Geodesic 5V 8/15 Icosahedron Dome (front view) Geodesic 5V 8/15 Icosahedron Dome (bird view) vertices/connectors: 151 25 x 4-way 6 x 5-way 120 x 6-way 5V 8/15 Icosahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 30: 0.19815 (5.69°) B x 60: 0.22569 (6.48°) C x 30: 0.23160 (6.65°) D x 30: 0.23179 (6.66°) E x 80: 0.24509 (7.04°) F x 20: 0.24535 (7.05°) G x 70: 0.24724 (7.10°) H x 70: 0.25517 (7.33°) I x 35: 0.26160 (7.52°) total 425 struts (9 kinds)1) strut variance 32.1% faces: 275 (3-sided) A-A-D x 30 (54.19°, 54.19°, 71.61°) B-B-D x 30 (59.10°, 59.10°, 61.80°) B-C-G x 60 (56.13°, 58.44°, 65.43°) E-E-F x 40 (59.96°, 59.96°, 60.08°) E-G-H x 70 (58.37°, 59.18°, 62.45°) H-H-I x 35 (59.17°, 59.17°, 61.67°) I-I-I x 10 (60.00°, 60.00°, 60.00°) 7 kinds of faces2) diameter: 2.000, radius: 1.000 height: 1.111 or 55.56% 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 5V 8/15 Icosahedron Dome Calculator Geodesic 5V 8/15 Icosahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 30, Blath = x 60, Clath = x 30, Dlath = x 30, Elath = x 80, Flath = x 20, Glath = x 70, Hlath = x 70, Ilath = x 35, h = 6V Icosahedron Dome Geodesic 6V Icosahedron Dome (front view) Geodesic 6V Icosahedron Dome (bird view) vertices/connectors: 196 30 x 4-way 6 x 5-way 160 x 6-way 6V Icosahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 30: 0.16257 (4.66°) B x 60: 0.18191 (5.22°) C x 30: 0.18738 (5.38°) D x 30: 0.19048 (5.47°) E x 60: 0.19801 (5.68°) F x 90: 0.20282 (5.82°) G x 130: 0.20591 (5.91°) H x 65: 0.21535 (6.18°) I x 60: 0.21663 (6.22°) total 555 struts (9 kinds)1) strut variance 33.2% faces: 360 (3-sided) A-A-D x 30 (54.14°, 54.14°, 71.72°) B-B-D x 30 (58.42°, 58.42°, 63.15°) B-C-F x 60 (55.40°, 58.00°, 66.60°) E-F-G x 120 (57.95°, 60.24°, 61.81°) G-G-H x 60 (58.46°, 58.46°, 63.08°) H-I-I x 60 (59.63°, 60.18°, 60.18°) 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 6V Icosahedron Dome Calculator Geodesic 6V Icosahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 30, Blath = x 60, Clath = x 30, Dlath = x 30, Elath = x 60, Flath = x 90, Glath = x 130, Hlath = x 65, Ilath = x 60, h = 2V.3V Icosahedron Dome Geodesic 2V.3V Icosahedron Dome (front view) Geodesic 2V.3V Icosahedron Dome (bird view) vertices/connectors: 196 30 x 4-way 6 x 5-way 160 x 6-way 2V.3V Icosahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 60: 0.18212 (5.22°) B x 30: 0.18854 (5.41°) C x 60: 0.18922 (5.43°) D x 60: 0.18932 (5.43°) E x 60: 0.19125 (5.49°) F x 70: 0.20591 (5.91°) G x 30: 0.21321 (6.12°) H x 60: 0.21445 (6.16°) I x 65: 0.21535 (6.18°) J x 60: 0.21663 (6.22°) total 555 struts (10 kinds)1) strut variance 18.9% faces: 360 (3-sided) A-A-G x 30 (54.17°, 54.17°, 71.66°) A-C-F x 60 (54.69°, 57.98°, 67.33°) B-D-H x 60 (55.23°, 55.58°, 69.19°) C-E-H x 60 (55.22°, 56.15°, 68.63°) D-D-G x 30 (55.73°, 55.73°, 68.54°) E-E-I x 30 (55.74°, 55.74°, 68.53°) F-F-I x 30 (58.46°, 58.46°, 63.08°) I-J-J x 60 (59.63°, 60.18°, 60.18°) 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 2V.3V Icosahedron Dome Calculator Geodesic 2V.3V Icosahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 60, Blath = x 30, Clath = x 60, Dlath = x 60, Elath = x 60, Flath = x 70, Glath = x 30, Hlath = x 60, Ilath = x 65, Jlath = x 60, h = The 2V.3V has 10 kinds of strut lengths, and 18.7% strut variance - compared to 6V with 9 kinds and 33.3% variance. So, you might think about prefering more even triangles, choose 2V.3V or less struth kinds then the 6V. 3V.2V Icosahedron Dome The 3V.2V Icosahedron could also be used to achieve the same amount of subdivision, yet, the 3V is a bit uneven around the base, and the 2nd stage of 2V doesn't even this again, so the base isn't even, yet, 7 kinds of struts. I won't list the details as I won't recommend 3V.2V over 2V.3V or 6V at all. 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. 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