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Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019 4V Octahedron Dome Geodesic 4V Octahedron Dome (front view) Geodesic 4V Octahedron Dome (bird view) vertices/connectors: 41 4 x 3-way 13 x 4-way 24 x 6-way 4V Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 16: 0.32036 (9.22°) B x 24: 0.43887 (12.68°) C x 12: 0.44721 (12.92°) D x 16: 0.45951 (13.28°) E x 24: 0.51764 (15.00°) F x 12: 0.57735 (16.78°) total 104 struts (6 kinds)1) strut variance 80.2% faces: 64 (3-sided) A-A-C x 12 (45.74°, 45.74°, 88.51°) B-B-C x 12 (59.37°, 59.37°, 61.26°) B-D-E x 24 (52.98°, 56.71°, 70.32°) E-E-F x 12 (56.10°, 56.10°, 67.80°) F-F-F x 4 (60.00°, 60.00°, 60.00°) 5 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 Octahedron Dome Calculator Geodesic 4V Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 16, Blath = x 24, Clath = x 12, Dlath = x 16, Elath = x 24, Flath = x 12, h = L3 Octahedron Dome Geodesic L3 Octahedron Dome (front view) Geodesic L3 Octahedron Dome (bird view) vertices/connectors: 41 4 x 3-way 13 x 4-way 24 x 6-way L3 Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 32: 0.39018 (11.25°) B x 24: 0.42291 (12.21°) C x 24: 0.51764 (15.00°) D x 12: 0.54120 (15.70°) E x 12: 0.57735 (16.78°) total 104 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: 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 Octahedron Dome Calculator Geodesic L3 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 12, Elath = x 12, h = The nice thing is here, that the L3 provides at 3/8 and 5/8 also an almost even base line. L3 1/4 Octahedron Dome Geodesic L3 3/8 Octahedron Dome (front view) Geodesic L3 3/8 Octahedron Dome (bird view) vertices/connectors: 25 4 x 3-way 9 x 4-way 12 x 6-way L3 3/8 Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 12: 0.39018 (11.25°) B x 16: 0.42291 (12.21°) C x 16: 0.51764 (15.00°) D x 4: 0.54120 (15.70°) E x 12: 0.57735 (16.78°) total 60 struts (5 kinds)1) strut variance 48.0% faces: 36 (3-sided) A-A-D x 4 (46.09°, 46.09°, 87.81°) A-B-C x 16 (47.72°, 53.31°, 78.96°) B-B-D x 4 (50.22°, 50.22°, 79.56°) C-C-E x 8 (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: 0.617 or 30.87% 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 3/8 Octahedron Dome Calculator Geodesic L3 3/8 Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 12, Blath = x 16, Clath = x 16, Dlath = x 4, Elath = x 12, h = Here again uneven base, for heavy construction leveling necessary. L3 5/8 Octahedron Dome Geodesic L3 5/8 Octahedron Dome (front view) Geodesic L3 5/8 Octahedron Dome (bird view) vertices/connectors: 53 13 x 4-way 4 x 5-way 36 x 6-way L3 5/8 Octahedron Dome Construction Map edges/struts & bending angles (αstrut): A x 36: 0.39018 (11.25°) B x 40: 0.42291 (12.21°) C x 32: 0.51764 (15.00°) D x 20: 0.54120 (15.70°) E x 16: 0.57735 (16.78°) total 144 struts (5 kinds)1) strut variance 48.0% faces: 92 (3-sided) A-A-D x 20 (46.09°, 46.09°, 87.81°) A-B-C x 32 (47.72°, 53.31°, 78.96°) B-B-D x 20 (50.22°, 50.22°, 79.56°) C-C-E x 16 (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: 1.408 or 70.41% 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 5/8 Octahedron Dome Calculator Geodesic L3 5/8 Octahedron Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 36, Blath = x 40, Clath = x 32, Dlath = x 20, Elath = x 16, h = Here again uneven base, for heavy construction leveling necessary. 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