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written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019
- 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
Geodesic 5V Cube Dome (Human is 170cm/5'7") |
- 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
Geodesic 6V Cube Dome (Human is 170cm/5'7") |
- 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
Geodesic 2V.3V Cube Dome (Human is 170cm/5'7") |
- 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
Geodesic 3V.2V Cube Dome (Human is 170cm/5'7") |
- 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
Geodesic 7V Cube Dome (Human is 170cm/5'7") |
Next Page >>
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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