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Müller Geodesic Solitude Johnny's Capsule Geodesic Clay Mud Dome Jurtendorf (Switzerland) Neolithics of Pfyn Dome Geodesic Dome Geodesic Dome Notes 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 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 written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Thu, January 15, 2009 5V Cube Dome Geodesic 5V Cube Dome (front view) Geodesic 5V Cube Dome (bird view) vertices/connectors: 166 2 x 3-way 30 x 4-way 134 x 6-way 5V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 28: 0.17629 (5.06°) B x 24: 0.19100 (5.48°) C x 24: 0.19686 (5.65°) D x 28: 0.19765 (5.67°) E x 24: 0.20103 (5.77°) F x 24: 0.20327 (5.83°) G x 38: 0.20588 (5.91°) H x 14: 0.21382 (6.14°) I x 24: 0.21400 (6.14°) J x 24: 0.21992 (6.31°) K x 24: 0.22028 (6.32°) L x 24: 0.22264 (6.39°) M x 24: 0.22437 (6.44°) N x 24: 0.24051 (6.91°) O x 12: 0.24834 (7.13°) P x 24: 0.25832 (7.42°) Q x 14: 0.26002 (7.47°) R x 24: 0.26089 (7.50°) S x 24: 0.27779 (7.98°) T x 12: 0.27793 (7.99°) U x 7: 0.28006 (8.05°) total 465 struts (21 kinds)1) strut variance 58.9% faces: 300 (3-sided) A-A-O x 12 (45.24°, 45.24°, 89.53°) A-C-H x 24 (50.64°, 59.71°, 69.65°) B-B-O x 12 (49.46°, 49.46°, 81.08°) B-D-R x 24 (46.76°, 48.91°, 84.33°) C-G-N x 24 (51.64°, 55.08°, 73.28°) D-F-N x 24 (52.06°, 54.23°, 73.71°) E-G-P x 24 (49.76°, 51.44°, 78.80°) E-I-R x 24 (48.86°, 53.30°, 77.84°) F-J-P x 24 (49.52°, 55.36°, 75.12°) G-K-Q x 24 (49.93°, 54.97°, 75.10°) I-I-T x 12 (49.51°, 49.51°, 80.98°) J-L-S x 24 (50.68°, 51.55°, 77.77°) K-M-S x 24 (50.68°, 52.00°, 77.31°) L-L-T x 12 (51.38°, 51.38°, 77.25°) M-M-U x 12 (51.38°, 51.38°, 77.23°) 15 kinds of faces2) diameter: 2.000, radius: 1.000 height: 0.990 or 49.51% 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 Cube Dome Calculator Geodesic 5V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 28, Blath = x 24, Clath = x 24, Dlath = x 28, Elath = x 24, Flath = x 24, Glath = x 38, Hlath = x 14, Ilath = x 24, Jlath = x 24, Klath = x 24, Llath = x 24, Mlath = x 24, Nlath = x 24, Olath = x 12, Plath = x 24, Qlath = x 14, Rlath = x 24, Slath = x 24, Tlath = x 12, Ulath = x 7, h = 6V Cube Dome Geodesic 6V Cube Dome (front view) Geodesic 6V Cube Dome (bird view) vertices/connectors: 235 2 x 3-way 36 x 4-way 197 x 6-way 6V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 28: 0.14523 (4.16°) B x 24: 0.15547 (4.46°) C x 28: 0.16126 (4.62°) D x 24: 0.16153 (4.63°) E x 24: 0.16348 (4.69°) F x 24: 0.16630 (4.77°) G x 24: 0.16695 (4.79°) H x 24: 0.16766 (4.81°) I x 28: 0.17066 (4.90°) J x 24: 0.17291 (4.96°) K x 14: 0.17475 (5.01°) L x 48: 0.17945 (5.15°) M x 24: 0.18094 (5.19°) N x 24: 0.18189 (5.22°) O x 24: 0.18285 (5.25°) P x 24: 0.18335 (5.26°) Q x 24: 0.18806 (5.40°) R x 24: 0.18829 (5.40°) S x 24: 0.19379 (5.56°) T x 12: 0.20485 (5.88°) U x 14: 0.20865 (5.99°) V x 24: 0.20898 (6.00°) W x 24: 0.21479 (6.17°) X x 24: 0.21657 (6.22°) Y x 24: 0.22440 (6.44°) Z x 12: 0.22766 (6.54°) AA x 14: 0.23096 (6.63°) AB x 24: 0.23140 (6.64°) AC x 12: 0.23682 (6.80°) total 666 struts (29 kinds)1) strut variance 63.1% faces: 432 (3-sided) A-A-T x 12 (45.12°, 45.12°, 89.75°) A-D-K x 24 (50.99°, 59.80°, 69.21°) AA-O-Q x 24 (77.00°, 50.49°, 52.51°) AB-M-N x 24 (79.26°, 50.18°, 50.56°) AB-P-R x 24 (76.99°, 50.55°, 52.45°) AC-Q-Q x 12 (78.02°, 50.99°, 50.99°) AC-R-R x 12 (77.92°, 51.04°, 51.04°) B-B-T x 12 (48.79°, 48.79°, 82.42°) B-C-W x 24 (46.18°, 48.46°, 85.36°) C-G-S x 24 (52.48°, 55.16°, 72.36°) D-F-S x 24 (52.62°, 54.91°, 72.47°) E-I-X x 24 (48.17°, 51.07°, 80.77°) E-J-W x 24 (48.41°, 52.28°, 79.31°) F-L-U x 24 (50.05°, 55.79°, 74.16°) G-L-V x 24 (50.19°, 55.66°, 74.15°) H-I-V x 24 (51.21°, 52.51°, 76.28°) H-N-X x 24 (48.82°, 54.73°, 76.45°) J-J-Z x 12 (48.82°, 48.82°, 82.37°) L-O-Y x 24 (51.03°, 52.43°, 76.53°) L-P-Y x 24 (50.99°, 52.60°, 76.41°) M-M-Z x 12 (51.00°, 51.00°, 78.00°) 21 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 Cube Dome Calculator Geodesic 6V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 28, Blath = x 24, Clath = x 28, Dlath = x 24, Elath = x 24, Flath = x 24, Glath = x 24, Hlath = x 24, Ilath = x 28, Jlath = x 24, Klath = x 14, Llath = x 48, Mlath = x 24, Nlath = x 24, Olath = x 24, Plath = x 24, Qlath = x 24, Rlath = x 24, Slath = x 24, Tlath = x 12, Ulath = x 14, Vlath = x 24, Wlath = x 24, Xlath = x 24, Ylath = x 24, Zlath = x 12, AAlath = x 14, ABlath = x 24, AClath = x 12, h = 2V.3V Cube Dome Geodesic 2V.3V Cube Dome (front view) Geodesic 2V.3V Cube Dome (bird view) vertices/connectors: 235 2 x 3-way 36 x 4-way 197 x 6-way 2V.3V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 56: 0.15768 (4.52°) B x 28: 0.16179 (4.64°) C x 24: 0.16188 (4.64°) D x 24: 0.16198 (4.65°) E x 24: 0.16341 (4.69°) F x 24: 0.16345 (4.69°) G x 24: 0.16505 (4.73°) H x 24: 0.16580 (4.76°) I x 48: 0.17771 (5.10°) J x 24: 0.18291 (5.25°) K x 24: 0.18312 (5.25°) L x 24: 0.18365 (5.27°) M x 24: 0.18424 (5.29°) N x 24: 0.18444 (5.29°) O x 24: 0.18608 (5.34°) P x 24: 0.18737 (5.38°) Q x 28: 0.20184 (5.79°) R x 24: 0.20777 (5.96°) S x 24: 0.20826 (5.98°) T x 24: 0.20976 (6.02°) U x 14: 0.21071 (6.05°) V x 24: 0.21657 (6.22°) W x 12: 0.22230 (6.38°) X x 24: 0.22371 (6.42°) Y x 12: 0.22389 (6.43°) Z x 24: 0.22533 (6.47°) AA x 12: 0.22766 (6.54°) total 666 struts (27 kinds)1) strut variance 44.4% faces: 432 (3-sided) A-A-W x 12 (45.19°, 45.19°, 89.63°) A-D-V x 24 (46.52°, 48.19°, 85.29°) A-I-R x 24 (47.51°, 56.19°, 76.31°) A-K-Q x 24 (48.07°, 59.75°, 72.18°) AA-H-H x 12 (86.73°, 46.63°, 46.63°) AA-P-P x 12 (74.82°, 52.59°, 52.59°) B-C-X x 24 (46.27°, 46.30°, 87.43°) B-J-S x 24 (48.33°, 57.60°, 74.07°) C-C-W x 12 (46.64°, 46.64°, 86.71°) D-H-X x 24 (46.26°, 47.68°, 86.06°) E-J-R x 24 (48.94°, 57.56°, 73.51°) E-L-T x 24 (48.51°, 57.37°, 74.12°) F-I-Q x 24 (50.55°, 57.06°, 72.38°) F-O-T x 24 (48.33°, 58.24°, 73.44°) G-K-S x 24 (49.38°, 57.34°, 73.28°) G-O-U x 24 (48.69°, 57.85°, 73.46°) I-I-Y x 12 (50.95°, 50.95°, 78.10°) I-N-V x 24 (51.85°, 54.69°, 73.45°) L-M-Z x 24 (52.14°, 52.34°, 75.53°) M-M-Y x 12 (52.57°, 52.57°, 74.86°) N-P-Z x 24 (52.10°, 53.31°, 74.59°) 21 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 Cube Dome Calculator Geodesic 2V.3V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 56, Blath = x 28, Clath = x 24, Dlath = x 24, Elath = x 24, Flath = x 24, Glath = x 24, Hlath = x 24, Ilath = x 48, Jlath = x 24, Klath = x 24, Llath = x 24, Mlath = x 24, Nlath = x 24, Olath = x 24, Plath = x 24, Qlath = x 28, Rlath = x 24, Slath = x 24, Tlath = x 24, Ulath = x 14, Vlath = x 24, Wlath = x 12, Xlath = x 24, Ylath = x 12, Zlath = x 24, AAlath = x 12, h = 3V.2V Cube Dome Geodesic 3V.2V Cube Dome (front view) Geodesic 3V.2V Cube Dome (bird view) vertices/connectors: 235 2 x 3-way 36 x 4-way 197 x 6-way 3V.2V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 56: 0.15325 (4.39°) B x 24: 0.15508 (4.45°) C x 24: 0.15535 (4.45°) D x 28: 0.17066 (4.90°) E x 48: 0.17221 (4.94°) F x 72: 0.17320 (4.97°) G x 48: 0.17469 (5.01°) H x 24: 0.17506 (5.02°) I x 24: 0.17606 (5.05°) J x 48: 0.18557 (5.32°) K x 24: 0.18823 (5.40°) L x 24: 0.18867 (5.41°) M x 28: 0.19171 (5.50°) N x 24: 0.19338 (5.55°) O x 24: 0.21479 (6.17°) P x 12: 0.21609 (6.20°) Q x 12: 0.21676 (6.22°) R x 48: 0.22019 (6.32°) S x 24: 0.22212 (6.38°) T x 24: 0.22243 (6.39°) U x 14: 0.23096 (6.63°) V x 12: 0.23343 (6.70°) total 666 struts (22 kinds)1) strut variance 52.3% faces: 432 (3-sided) A-A-P x 12 (45.15°, 45.15°, 89.71°) A-B-O x 24 (45.47°, 46.20°, 88.33°) A-F-N x 24 (49.02°, 58.60°, 72.38°) A-H-M x 24 (49.12°, 59.79°, 71.10°) B-B-P x 12 (45.84°, 45.84°, 88.32°) C-F-M x 24 (50.06°, 58.77°, 71.17°) C-H-N x 24 (49.55°, 59.09°, 71.37°) D-E-S x 24 (49.34°, 49.93°, 80.74°) D-G-R x 24 (49.60°, 51.20°, 79.21°) E-E-Q x 12 (50.99°, 50.99°, 78.03°) E-F-R x 24 (50.19°, 50.59°, 79.21°) E-G-O x 24 (51.22°, 52.27°, 76.51°) F-G-S x 24 (50.03°, 50.63°, 79.34°) F-J-T x 24 (49.23°, 54.25°, 76.52°) F-K-R x 24 (49.43°, 55.62°, 74.95°) G-G-Q x 12 (51.65°, 51.65°, 76.70°) I-J-R x 24 (50.56°, 54.49°, 74.95°) I-K-T x 24 (49.95°, 54.89°, 75.17°) J-J-V x 12 (51.04°, 51.04°, 77.92°) J-L-U x 24 (51.29°, 52.50°, 76.21°) L-L-V x 12 (51.80°, 51.80°, 76.40°) 21 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.2V Cube Dome Calculator Geodesic 3V.2V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 56, Blath = x 24, Clath = x 24, Dlath = x 28, Elath = x 48, Flath = x 72, Glath = x 48, Hlath = x 24, Ilath = x 24, Jlath = x 48, Klath = x 24, Llath = x 24, Mlath = x 28, Nlath = x 24, Olath = x 24, Plath = x 12, Qlath = x 12, Rlath = x 48, Slath = x 24, Tlath = x 24, Ulath = x 14, Vlath = x 12, h = 7V Cube Dome Geodesic 7V Cube Dome (front view) Geodesic 7V Cube Dome (bird view) vertices/connectors: 316 2 x 3-way 42 x 4-way 272 x 6-way 7V Cube Dome Construction Map edges/struts & bending angles (αstrut): A x 28: 0.12343 (3.54°) B x 24: 0.13093 (3.75°) C x 28: 0.13574 (3.89°) D x 24: 0.13685 (3.92°) E x 24: 0.13724 (3.93°) F x 24: 0.13907 (3.99°) G x 24: 0.14129 (4.05°) H x 24: 0.14148 (4.06°) I x 24: 0.14293 (4.10°) J x 24: 0.14432 (4.14°) K x 28: 0.14437 (4.14°) L x 14: 0.14749 (4.23°) M x 14: 0.14764 (4.23°) N x 24: 0.15012 (4.30°) O x 24: 0.15069 (4.32°) P x 24: 0.15101 (4.33°) Q x 24: 0.15272 (4.38°) R x 24: 0.15313 (4.39°) S x 24: 0.15455 (4.43°) T x 24: 0.15467 (4.44°) U x 24: 0.15525 (4.45°) V x 24: 0.15929 (4.57°) W x 24: 0.15968 (4.58°) X x 24: 0.15992 (4.59°) Y x 24: 0.16053 (4.60°) Z x 24: 0.16165 (4.64°) AA x 24: 0.16180 (4.64°) AB x 14: 0.17323 (4.97°) AC x 24: 0.17410 (4.99°) AD x 12: 0.17422 (5.00°) AE x 24: 0.18209 (5.22°) AF x 24: 0.18242 (5.23°) AG x 24: 0.18518 (5.31°) AH x 24: 0.18614 (5.34°) AI x 8: 0.19194 (5.51°) AJ x 4: 0.19195 (5.51°) AK x 14: 0.19327 (5.55°) AL x 24: 0.19451 (5.58°) AM x 24: 0.19653 (5.64°) AN x 7: 0.20101 (5.77°) AO x 24: 0.20124 (5.77°) AP x 12: 0.20240 (5.81°) total 903 struts (42 kinds)1) strut variance 64.0% faces: 588 (3-sided) A-A-AD x 12 (45.10°, 45.10°, 89.79°) A-D-M x 24 (51.26°, 59.85°, 68.90°) AA-C-G x 24 (71.45°, 52.67°, 55.89°) AA-D-F x 24 (71.80°, 53.44°, 54.76°) AB-F-O x 24 (73.28°, 50.28°, 56.44°) AC-G-N x 24 (73.31°, 51.02°, 55.67°) AC-I-K x 24 (74.60°, 52.31°, 53.09°) AD-B-B x 12 (83.43°, 48.29°, 48.29°) AE-B-C x 24 (86.14°, 45.82°, 48.03°) AE-E-J x 24 (80.57°, 48.01°, 51.42°) AF-H-L x 24 (78.24°, 49.42°, 52.34°) AF-I-U x 24 (75.32°, 49.28°, 55.40°) AG-E-K x 24 (82.20°, 47.22°, 50.58°) AG-H-R x 24 (77.79°, 48.31°, 53.90°) AH-N-S x 24 (75.30°, 51.28°, 53.42°) AH-O-Q x 24 (75.67°, 51.68°, 52.65°) AI-J-J x 8 (83.35°, 48.32°, 48.32°) AI-P-P x 8 (78.90°, 50.55°, 50.55°) AJ-J-J x 4 (83.41°, 48.30°, 48.30°) AJ-P-P x 4 (78.95°, 50.52°, 50.52°) AK-Q-W x 24 (76.41°, 50.16°, 53.42°) AL-S-X x 24 (76.41°, 50.54°, 53.04°) AL-T-U x 24 (77.75°, 51.01°, 51.24°) AM-P-R x 24 (80.50°, 49.28°, 50.22°) AM-T-V x 24 (77.47°, 50.22°, 52.31°) AN-Y-Y x 12 (77.54°, 51.23°, 51.23°) AO-W-Y x 24 (77.86°, 50.89°, 51.25°) AO-X-Z x 24 (77.48°, 50.88°, 51.64°) AP-V-V x 12 (78.88°, 50.56°, 50.56°) AP-Z-Z x 12 (77.55°, 51.23°, 51.23°) 30 kinds of faces2) diameter: 2.000, radius: 1.000 height: 0.995 or 49.75% 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 Cube Dome Calculator Geodesic 7V Cube Dome (Human is 170cm/5'7") d = , lhole = (Edit numbers & hit TAB to recalculate) Alath = x 28, Blath = x 24, Clath = x 28, Dlath = x 24, Elath = x 24, Flath = x 24, Glath = x 24, Hlath = x 24, Ilath = x 24, Jlath = x 24, Klath = x 28, Llath = x 14, Mlath = x 14, Nlath = x 24, Olath = x 24, Plath = x 24, Qlath = x 24, Rlath = x 24, Slath = x 24, Tlath = x 24, Ulath = x 24, Vlath = x 24, Wlath = x 24, Xlath = x 24, Ylath = x 24, Zlath = x 24, AAlath = x 24, ABlath = x 14, AClath = x 24, ADlath = x 12, AElath = x 24, AFlath = x 24, AGlath = x 24, AHlath = x 24, AIlath = x 8, AJlath = x 4, AKlath = x 14, ALlath = x 24, AMlath = x 24, ANlath = x 7, AOlath = x 24, APlath = 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 3/4 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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