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written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019
- vertices/connectors: 216
5V Cuboctahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 24: 0.14897 (4.27°)
- B x 24: 0.15701 (4.50°)
- C x 24: 0.15942 (4.57°)
- D x 24: 0.16077 (4.61°)
- E x 24: 0.16199 (4.65°)
- F x 24: 0.16287 (4.67°)
- G x 12: 0.16512 (4.74°)
- H x 24: 0.16655 (4.78°)
- I x 24: 0.16939 (4.86°)
- J x 24: 0.17295 (4.96°)
- K x 24: 0.17327 (4.97°)
- L x 24: 0.17393 (4.99°)
- M x 24: 0.17615 (5.05°)
- N x 30: 0.18984 (5.45°)
- O x 24: 0.20577 (5.91°)
- P x 12: 0.21009 (6.03°)
- Q x 24: 0.21329 (6.12°)
- R x 24: 0.21561 (6.19°)
- S x 24: 0.21702 (6.23°)
- T x 30: 0.21808 (6.26°)
- U x 12: 0.21822 (6.26°)
- V x 12: 0.22654 (6.50°)
- W x 24: 0.22702 (6.52°)
- X x 24: 0.22923 (6.58°)
- Y x 15: 0.22942 (6.59°)
- Z x 24: 0.23096 (6.63°)
- AA x 24: 0.23738 (6.82°)
- AB x 12: 0.24254 (6.97°)
- total 615 struts (28 kinds)1)
- strut variance 62.8%
- faces: 400 (3-sided)
- A-A-P x 12 (45.17°, 45.17°, 89.66°)
- A-C-N x 24 (49.58°, 54.54°, 75.88°)
- AA-AA-AB x 12 (59.29°, 59.29°, 61.43°)
- AA-X-Z x 24 (62.11°, 58.57°, 59.32°)
- AB-AB-AB x 4 (60.00°, 60.00°, 60.00°)
- B-B-P x 12 (48.00°, 48.00°, 84.00°)
- B-D-S x 24 (46.21°, 47.67°, 86.12°)
- C-H-O x 24 (49.32°, 52.43°, 78.26°)
- D-F-O x 24 (50.07°, 50.98°, 78.95°)
- E-G-R x 24 (48.15°, 49.39°, 82.46°)
- E-I-S x 24 (47.63°, 50.59°, 81.78°)
- F-J-R x 24 (48.05°, 52.12°, 79.83°)
- H-K-T x 24 (48.75°, 51.45°, 79.80°)
- I-I-V x 12 (48.05°, 48.05°, 83.91°)
- J-L-W x 24 (48.92°, 49.31°, 81.77°)
- K-M-W x 24 (48.94°, 50.06°, 81.00°)
- L-L-V x 12 (49.37°, 49.37°, 81.27°)
- M-M-Y x 12 (49.39°, 49.39°, 81.23°)
- N-N-U x 12 (54.91°, 54.91°, 70.17°)
- Q-Q-U x 12 (59.24°, 59.24°, 61.53°)
- Q-T-Z x 24 (56.62°, 58.64°, 64.74°)
- X-X-Y x 12 (59.97°, 59.97°, 60.06°)
- 22 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 Cuboctahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 307
6V Cuboctahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 24: 0.12319 (3.53°)
- B x 24: 0.12886 (3.69°)
- C x 24: 0.13134 (3.77°)
- D x 24: 0.13213 (3.79°)
- E x 24: 0.13294 (3.81°)
- F x 24: 0.13429 (3.85°)
- G x 24: 0.13485 (3.87°)
- H x 24: 0.13595 (3.90°)
- I x 24: 0.13710 (3.93°)
- J x 24: 0.13831 (3.97°)
- K x 24: 0.14205 (4.07°)
- L x 24: 0.14228 (4.08°)
- M x 24: 0.14239 (4.08°)
- N x 24: 0.14313 (4.10°)
- O x 24: 0.14372 (4.12°)
- P x 24: 0.14489 (4.15°)
- Q x 24: 0.14671 (4.21°)
- R x 24: 0.14719 (4.22°)
- S x 30: 0.15602 (4.47°)
- T x 24: 0.16762 (4.81°)
- U x 24: 0.17260 (4.95°)
- V x 12: 0.17389 (4.99°)
- W x 24: 0.17620 (5.05°)
- X x 30: 0.17706 (5.08°)
- Y x 24: 0.17943 (5.15°)
- Z x 12: 0.17961 (5.15°)
- AA x 24: 0.18035 (5.17°)
- AB x 24: 0.18541 (5.32°)
- AC x 24: 0.18597 (5.34°)
- AD x 12: 0.18657 (5.35°)
- AE x 24: 0.18878 (5.42°)
- AF x 54: 0.18984 (5.45°)
- AG x 12: 0.19220 (5.51°)
- AH x 48: 0.19238 (5.52°)
- AI x 24: 0.20000 (5.74°)
- AJ x 24: 0.20102 (5.77°)
- total 882 struts (36 kinds)1)
- strut variance 63.1%
- faces: 576 (3-sided)
- A-A-V x 12 (45.11°, 45.11°, 89.78°)
- A-C-S x 24 (49.88°, 54.59°, 75.53°)
- AA-E-I x 24 (83.83°, 47.09°, 49.08°)
- AA-G-N x 24 (80.90°, 47.55°, 51.56°)
- AB-K-P x 24 (80.47°, 49.10°, 50.42°)
- AB-L-O x 24 (80.82°, 49.26°, 49.92°)
- AC-AF-AH x 48 (58.24°, 60.18°, 61.58°)
- AD-J-J x 12 (84.85°, 47.58°, 47.58°)
- AD-M-M x 12 (81.87°, 49.07°, 49.07°)
- AE-M-N x 24 (82.80°, 48.44°, 48.76°)
- AE-O-Q x 24 (81.10°, 48.76°, 50.14°)
- AF-P-R x 24 (81.05°, 48.95°, 50.01°)
- AF-U-X x 24 (65.73°, 56.00°, 58.28°)
- AG-Q-Q x 12 (81.85°, 49.07°, 49.07°)
- AG-R-R x 12 (81.51°, 49.24°, 49.24°)
- AH-AH-AI x 24 (58.68°, 58.68°, 62.63°)
- AI-AJ-AJ x 24 (59.67°, 60.16°, 60.16°)
- B-B-V x 12 (47.58°, 47.58°, 84.84°)
- B-D-Y x 24 (45.84°, 47.33°, 86.83°)
- C-H-T x 24 (49.94°, 52.39°, 77.67°)
- D-F-T x 24 (50.43°, 51.60°, 77.97°)
- E-J-Y x 24 (47.30°, 49.89°, 82.80°)
- F-L-W x 24 (48.45°, 52.47°, 79.08°)
- G-I-W x 24 (49.04°, 50.18°, 80.78°)
- H-K-X x 24 (48.90°, 51.99°, 79.11°)
- S-S-Z x 12 (54.86°, 54.86°, 70.29°)
- U-U-Z x 12 (58.65°, 58.65°, 62.70°)
- 27 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 Cuboctahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 307
2V.3V Cuboctahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 48: 0.13005 (3.73°)
- B x 48: 0.13235 (3.79°)
- C x 24: 0.13239 (3.80°)
- D x 24: 0.13292 (3.81°)
- E x 24: 0.13301 (3.81°)
- F x 24: 0.13431 (3.85°)
- G x 24: 0.13456 (3.86°)
- H x 48: 0.14095 (4.04°)
- I x 24: 0.14363 (4.12°)
- J x 24: 0.14376 (4.12°)
- K x 24: 0.14386 (4.12°)
- L x 24: 0.14407 (4.13°)
- M x 24: 0.14420 (4.13°)
- N x 24: 0.14559 (4.17°)
- O x 24: 0.14602 (4.19°)
- P x 60: 0.17250 (4.95°)
- Q x 24: 0.17578 (5.04°)
- R x 24: 0.17622 (5.05°)
- S x 24: 0.17677 (5.07°)
- T x 30: 0.17792 (5.10°)
- U x 24: 0.17845 (5.12°)
- V x 24: 0.17859 (5.12°)
- W x 24: 0.18000 (5.16°)
- X x 24: 0.18035 (5.17°)
- Y x 12: 0.18353 (5.27°)
- Z x 12: 0.18409 (5.28°)
- AA x 24: 0.18431 (5.29°)
- AB x 24: 0.18489 (5.30°)
- AC x 12: 0.18657 (5.35°)
- AD x 24: 0.19238 (5.52°)
- AE x 12: 0.19845 (5.69°)
- AF x 24: 0.19944 (5.72°)
- AG x 24: 0.20000 (5.74°)
- AH x 24: 0.20102 (5.77°)
- total 882 struts (34 kinds)1)
- strut variance 54.6%
- faces: 576 (3-sided)
- A-A-Y x 12 (45.11°, 45.11°, 89.78°)
- A-C-X x 24 (46.02°, 47.12°, 86.86°)
- A-H-Q x 24 (46.89°, 52.30°, 80.82°)
- A-J-P x 24 (47.47°, 54.60°, 77.92°)
- AA-B-B x 24 (88.30°, 45.85°, 45.85°)
- AA-C-G x 24 (87.30°, 45.86°, 46.85°)
- AB-K-L x 24 (79.88°, 50.01°, 50.11°)
- AB-M-O x 24 (79.16°, 49.99°, 50.85°)
- AC-G-G x 12 (87.76°, 46.12°, 46.12°)
- AC-O-O x 12 (79.44°, 50.28°, 50.28°)
- AD-AD-AG x 12 (58.68°, 58.68°, 62.63°)
- AD-P-U x 24 (66.48°, 55.29°, 58.23°)
- AE-P-P x 12 (70.21°, 54.90°, 54.90°)
- AE-V-V x 12 (67.48°, 56.26°, 56.26°)
- AF-T-V x 24 (68.02°, 55.82°, 56.16°)
- AF-U-W x 24 (67.61°, 55.81°, 56.58°)
- AG-AH-AH x 24 (59.67°, 60.16°, 60.16°)
- AG-W-W x 12 (67.50°, 56.25°, 56.25°)
- B-B-Y x 12 (46.09°, 46.09°, 87.82°)
- B-I-R x 24 (47.54°, 53.20°, 79.26°)
- D-I-Q x 24 (47.88°, 53.27°, 78.86°)
- D-K-S x 24 (47.61°, 53.10°, 79.28°)
- E-H-P x 24 (48.96°, 53.03°, 78.01°)
- E-N-S x 24 (47.52°, 53.84°, 78.64°)
- F-J-R x 24 (48.33°, 53.12°, 78.55°)
- F-N-T x 24 (47.78°, 53.41°, 78.81°)
- H-H-Z x 12 (49.21°, 49.21°, 81.58°)
- H-M-X x 24 (49.94°, 51.56°, 78.50°)
- L-L-Z x 12 (50.30°, 50.30°, 79.40°)
- 29 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 Cuboctahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 307
3V.2V Cuboctahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 48: 0.12766 (3.66°)
- B x 24: 0.12871 (3.69°)
- C x 24: 0.12884 (3.69°)
- D x 24: 0.13710 (3.93°)
- E x 48: 0.13767 (3.95°)
- F x 48: 0.13817 (3.96°)
- G x 24: 0.13839 (3.97°)
- H x 48: 0.13896 (3.98°)
- I x 24: 0.13926 (3.99°)
- J x 24: 0.13962 (4.00°)
- K x 48: 0.14580 (4.18°)
- L x 24: 0.14716 (4.22°)
- M x 24: 0.14733 (4.22°)
- N x 60: 0.16654 (4.78°)
- O x 24: 0.16744 (4.80°)
- P x 24: 0.16860 (4.84°)
- Q x 24: 0.17943 (5.15°)
- R x 12: 0.18017 (5.17°)
- S x 12: 0.18041 (5.18°)
- T x 48: 0.18249 (5.24°)
- U x 24: 0.18346 (5.26°)
- V x 24: 0.18358 (5.27°)
- W x 54: 0.18984 (5.45°)
- X x 12: 0.19101 (5.48°)
- Y x 12: 0.19164 (5.50°)
- Z x 24: 0.19259 (5.53°)
- AA x 48: 0.19350 (5.55°)
- AB x 48: 0.19619 (5.63°)
- total 882 struts (28 kinds)1)
- strut variance 53.6%
- faces: 576 (3-sided)
- A-A-R x 12 (45.13°, 45.13°, 89.75°)
- A-B-Q x 24 (45.37°, 45.83°, 88.80°)
- A-F-O x 24 (48.24°, 53.83°, 77.92°)
- A-I-N x 24 (48.36°, 54.61°, 77.02°)
- AA-AA-Z x 24 (60.15°, 60.15°, 59.69°)
- AA-AB-W x 48 (60.14°, 61.57°, 58.29°)
- AB-AB-Z x 24 (60.61°, 60.61°, 58.79°)
- B-B-R x 12 (45.57°, 45.57°, 88.87°)
- C-F-N x 24 (48.93°, 54.00°, 77.07°)
- C-I-O x 24 (48.61°, 54.23°, 77.17°)
- D-E-U x 24 (47.97°, 48.25°, 83.79°)
- D-H-T x 24 (48.18°, 49.07°, 82.75°)
- E-E-S x 12 (49.08°, 49.08°, 81.85°)
- E-G-T x 24 (48.46°, 48.79°, 82.75°)
- E-H-Q x 24 (49.27°, 49.90°, 80.83°)
- F-K-V x 24 (47.94°, 51.56°, 80.50°)
- F-L-T x 24 (48.11°, 52.46°, 79.43°)
- G-H-U x 24 (48.45°, 48.73°, 82.83°)
- H-H-S x 12 (49.54°, 49.54°, 80.92°)
- J-K-T x 24 (48.77°, 51.76°, 79.47°)
- J-L-V x 24 (48.40°, 52.04°, 79.56°)
- K-K-X x 12 (49.08°, 49.08°, 81.84°)
- K-M-W x 24 (49.30°, 49.99°, 80.71°)
- M-M-X x 12 (49.58°, 49.58°, 80.83°)
- N-N-Y x 12 (54.87°, 54.87°, 70.25°)
- N-P-W x 24 (54.98°, 56.02°, 69.00°)
- P-P-Y x 12 (55.37°, 55.37°, 69.25°)
- 27 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 Cuboctahedron 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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