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written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019
- vertices/connectors: 61
- 4 x 3-way
- 17 x 4-way
- 40 x 6-way
5V Octahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 16: 0.24437 (7.02°)
- B x 24: 0.31415 (9.04°)
- C x 16: 0.34134 (9.83°)
- D x 12: 0.34300 (9.88°)
- E x 24: 0.38859 (11.20°)
- F x 8: 0.39223 (11.31°)
- G x 24: 0.40033 (11.55°)
- H x 24: 0.43696 (12.62°)
- I x 12: 0.47140 (13.63°)
- total 160 struts (9 kinds)1)
- strut variance 92.9%
- faces: 100 (3-sided)
- A-A-D x 12 (45.43°, 45.43°, 89.13°)
- B-B-D x 12 (56.91°, 56.91°, 66.19°)
- B-C-G x 24 (49.33°, 55.51°, 75.16°)
- E-E-F x 12 (59.69°, 59.69°, 60.61°)
- E-G-H x 24 (55.09°, 57.65°, 67.26°)
- H-H-I x 12 (57.36°, 57.36°, 65.28°)
- I-I-I x 4 (60.00°, 60.00°, 60.00°)
- 7 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 5V Octahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 85
- 4 x 3-way
- 21 x 4-way
- 60 x 6-way
6V Octahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 16: 0.19708 (5.66°)
- B x 24: 0.24197 (6.95°)
- C x 16: 0.26547 (7.63°)
- D x 12: 0.27735 (7.97°)
- E x 24: 0.29603 (8.51°)
- F x 40: 0.32036 (9.22°)
- G x 48: 0.33193 (9.55°)
- H x 24: 0.37796 (10.89°)
- I x 24: 0.38518 (11.10°)
- total 228 struts (9 kinds)1)
- strut variance 95.4%
- faces: 144 (3-sided)
- A-A-D x 12 (45.30°, 45.30°, 89.41°)
- B-B-D x 12 (55.04°, 55.04°, 69.91°)
- B-C-F x 24 (47.66°, 54.19°, 78.15°)
- E-F-G x 48 (53.94°, 61.05°, 65.02°)
- G-G-H x 24 (55.29°, 55.29°, 69.42°)
- H-I-I x 24 (58.77°, 60.62°, 60.62°)
- 6 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 Octahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 85
- 4 x 3-way
- 21 x 4-way
- 60 x 6-way
2V.3V Octahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 32: 0.25480 (7.32°)
- B x 16: 0.27355 (7.86°)
- C x 24: 0.27468 (7.89°)
- D x 24: 0.27569 (7.92°)
- E x 24: 0.29082 (8.36°)
- F x 24: 0.33193 (9.55°)
- G x 12: 0.35741 (10.29°)
- H x 24: 0.36346 (10.47°)
- I x 24: 0.37796 (10.89°)
- J x 24: 0.38518 (11.10°)
- total 228 struts (10 kinds)1)
- strut variance 51.2%
- faces: 144 (3-sided)
- A-A-G x 12 (45.47°, 45.47°, 89.07°)
- A-D-F x 24 (48.51°, 54.14°, 77.35°)
- B-C-H x 24 (48.34°, 48.60°, 83.05°)
- C-C-G x 12 (49.42°, 49.42°, 81.16°)
- D-E-H x 24 (48.28°, 51.94°, 79.78°)
- E-E-I x 12 (49.46°, 49.46°, 81.07°)
- F-F-I x 12 (55.29°, 55.29°, 69.42°)
- I-J-J x 24 (58.77°, 60.62°, 60.62°)
- 8 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 Octahedron Dome (Human is 170cm/5'7") |
- vertices/connectors: 85
- 4 x 3-way
- 21 x 4-way
- 60 x 6-way
3V.2V Octahedron Dome Construction Map |
- edges/struts & bending angles (αstrut):
- A x 32: 0.23131 (6.64°)
- B x 24: 0.23773 (6.83°)
- C x 40: 0.32036 (9.22°)
- D x 12: 0.32492 (9.35°)
- E x 24: 0.33571 (9.66°)
- F x 48: 0.34069 (9.81°)
- G x 48: 0.35506 (10.23°)
- total 228 struts (7 kinds)1)
- strut variance 53.5%
- faces: 144 (3-sided)
- A-A-D x 12 (45.39°, 45.39°, 89.23°)
- A-B-C x 24 (46.08°, 47.75°, 86.17°)
- B-B-D x 12 (46.89°, 46.89°, 86.22°)
- C-F-G x 48 (54.79°, 60.32°, 64.89°)
- E-F-F x 24 (59.03°, 60.48°, 60.48°)
- E-G-G x 24 (56.42°, 61.79°, 61.79°)
- 6 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 Octahedron 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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