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written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019
- vertices/connectors: 246
- 35 x 4-way
- 6 x 5-way
- 205 x 6-way
7V 10/21 Icosahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 30: 0.13774 (3.95°)
- B x 60: 0.15197 (4.36°)
- C x 30: 0.15664 (4.49°)
- D x 30: 0.16154 (4.63°)
- E x 60: 0.16480 (4.73°)
- F x 30: 0.17066 (4.90°)
- G x 60: 0.17098 (4.90°)
- H x 60: 0.17132 (4.91°)
- I x 50: 0.17353 (4.98°)
- J x 70: 0.17585 (5.04°)
- K x 50: 0.18155 (5.21°)
- L x 30: 0.18161 (5.21°)
- M x 50: 0.18237 (5.23°)
- N x 60: 0.18548 (5.32°)
- O x 30: 0.18791 (5.39°)
- total 700 struts (15 kinds)1)
- strut variance 36.5%
- faces: 455 (3-sided)
- A-A-D x 30 (54.10°, 54.10°, 71.81°)
- B-B-D x 30 (57.91°, 57.91°, 64.18°)
- B-C-H x 60 (55.01°, 57.57°, 67.41°)
- E-F-J x 60 (56.76°, 60.03°, 63.21°)
- E-G-H x 60 (57.56°, 61.13°, 61.31°)
- G-G-L x 30 (57.93°, 57.93°, 64.15°)
- I-I-J x 20 (59.54°, 59.54°, 60.92°)
- I-J-M x 50 (57.89°, 59.18°, 62.93°)
- K-K-L x 25 (59.98°, 59.98°, 60.04°)
- K-M-N x 50 (59.11°, 59.59°, 61.29°)
- N-N-O x 30 (59.57°, 59.57°, 60.86°)
- O-O-O x 10 (60.00°, 60.00°, 60.00°)
- 12 kinds of faces2)
- diameter: 2.000, radius: 1.000
- height: 0.925 or 46.26% 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 10/21 Icosahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 281
- 35 x 4-way
- 6 x 5-way
- 240 x 6-way
7V 11/21 Icosahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 30: 0.13774 (3.95°)
- B x 60: 0.15197 (4.36°)
- C x 30: 0.15664 (4.49°)
- D x 30: 0.16154 (4.63°)
- E x 60: 0.16480 (4.73°)
- F x 30: 0.17066 (4.90°)
- G x 60: 0.17098 (4.90°)
- H x 60: 0.17132 (4.91°)
- I x 80: 0.17353 (4.98°)
- J x 90: 0.17585 (5.04°)
- K x 70: 0.18155 (5.21°)
- L x 35: 0.18161 (5.21°)
- M x 70: 0.18237 (5.23°)
- N x 70: 0.18548 (5.32°)
- O x 30: 0.18791 (5.39°)
- total 805 struts (15 kinds)1)
- strut variance 36.5%
- faces: 525 (3-sided)
- A-A-D x 30 (54.10°, 54.10°, 71.81°)
- B-B-D x 30 (57.91°, 57.91°, 64.18°)
- B-C-H x 60 (55.01°, 57.57°, 67.41°)
- E-F-J x 60 (56.76°, 60.03°, 63.21°)
- E-G-H x 60 (57.56°, 61.13°, 61.31°)
- G-G-L x 30 (57.93°, 57.93°, 64.15°)
- I-I-J x 40 (59.54°, 59.54°, 60.92°)
- I-J-M x 70 (57.89°, 59.18°, 62.93°)
- K-K-L x 35 (59.98°, 59.98°, 60.04°)
- K-M-N x 70 (59.11°, 59.59°, 61.29°)
- N-N-O x 30 (59.57°, 59.57°, 60.86°)
- O-O-O x 10 (60.00°, 60.00°, 60.00°)
- 12 kinds of faces2)
- diameter: 2.000, radius: 1.000
- height: 1.080 or 54.00% 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 7V 11/21 Icosahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 341
- 40 x 4-way
- 6 x 5-way
- 295 x 6-way
8V Icosahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 30: 0.11946 (3.42°)
- B x 60: 0.13033 (3.74°)
- C x 30: 0.13424 (3.85°)
- D x 30: 0.14018 (4.02°)
- E x 60: 0.14056 (4.03°)
- F x 60: 0.14548 (4.17°)
- G x 30: 0.14628 (4.19°)
- H x 60: 0.14803 (4.24°)
- I x 60: 0.14862 (4.26°)
- J x 60: 0.15267 (4.38°)
- K x 70: 0.15296 (4.39°)
- L x 30: 0.15315 (4.39°)
- M x 60: 0.15477 (4.44°)
- N x 90: 0.15636 (4.48°)
- O x 60: 0.16033 (4.60°)
- P x 30: 0.16036 (4.60°)
- Q x 70: 0.16088 (4.61°)
- R x 60: 0.16300 (4.67°)
- S x 30: 0.16465 (4.72°)
- total 980 struts (19 kinds)1)
- strut variance 37.7%
- faces: 640 (3-sided)
- A-A-D x 30 (54.08°, 54.08°, 71.83°)
- B-B-D x 30 (57.45°, 57.45°, 65.09°)
- B-C-H x 60 (54.73°, 57.24°, 68.03°)
- E-F-H x 60 (57.24°, 60.49°, 62.28°)
- E-G-J x 60 (56.05°, 59.67°, 64.28°)
- F-F-N x 30 (57.49°, 57.49°, 65.02°)
- I-J-N x 60 (57.45°, 60.02°, 62.52°)
- I-K-L x 60 (58.06°, 60.90°, 61.04°)
- K-K-P x 30 (58.39°, 58.39°, 63.23°)
- M-M-N x 30 (59.66°, 59.66°, 60.69°)
- M-N-Q x 60 (58.38°, 59.36°, 62.26°)
- O-O-P x 30 (59.98°, 59.98°, 60.04°)
- O-Q-R x 60 (59.32°, 59.69°, 60.99°)
- R-R-S x 30 (59.67°, 59.67°, 60.65°)
- S-S-S x 10 (60.00°, 60.00°, 60.00°)
- 15 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 8V Icosahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 341
- 40 x 4-way
- 6 x 5-way
- 295 x 6-way
L4 Icosahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 120: 0.13828 (3.96°)
- B x 120: 0.13951 (4.00°)
- C x 120: 0.14310 (4.10°)
- D x 60: 0.14429 (4.14°)
- E x 60: 0.14439 (4.14°)
- F x 140: 0.15692 (4.50°)
- G x 60: 0.15800 (4.53°)
- H x 60: 0.15846 (4.54°)
- I x 60: 0.16115 (4.62°)
- J x 30: 0.16217 (4.65°)
- K x 30: 0.16228 (4.65°)
- L x 60: 0.16300 (4.67°)
- M x 30: 0.16448 (4.72°)
- N x 30: 0.16465 (4.72°)
- total 980 struts (14 kinds)1)
- strut variance 19.0%
- faces: 640 (3-sided)
- A-A-J x 30 (54.10°, 54.10°, 71.80°)
- A-B-I x 60 (54.21°, 54.90°, 70.89°)
- A-C-G x 60 (54.41°, 57.29°, 68.29°)
- A-D-F x 60 (54.47°, 58.12°, 67.41°)
- B-B-J x 30 (54.45°, 54.45°, 71.09°)
- B-C-F x 60 (55.19°, 57.38°, 67.44°)
- B-D-G x 60 (54.74°, 57.63°, 67.64°)
- C-C-K x 30 (55.45°, 55.45°, 69.09°)
- C-E-I x 60 (55.54°, 56.30°, 68.16°)
- E-E-K x 30 (55.81°, 55.81°, 68.39°)
- F-F-M x 30 (58.38°, 58.38°, 63.23°)
- F-H-L x 60 (58.40°, 59.36°, 62.23°)
- H-H-M x 30 (58.74°, 58.74°, 62.52°)
- L-L-N x 30 (59.67°, 59.67°, 60.65°)
- N-N-N x 10 (60.00°, 60.00°, 60.00°)
- 15 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 L4 Icosahedron 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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