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# Geodesic Dome Notes & Calculator

written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019

### 4V Octahedron Dome

 Geodesic 4V Octahedron Dome (front view)
 Geodesic 4V Octahedron Dome (bird view)
• vertices/connectors: 41
• 4 x 3-way
• 13 x 4-way
• 24 x 6-way
•  4V Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 16: 0.32036 (9.22°)
• B x 24: 0.43887 (12.68°)
• C x 12: 0.44721 (12.92°)
• D x 16: 0.45951 (13.28°)
• E x 24: 0.51764 (15.00°)
• F x 12: 0.57735 (16.78°)
• total 104 struts (6 kinds)1)
• strut variance 80.2%
• faces: 64 (3-sided)
• A-A-C x 12 (45.74°, 45.74°, 88.51°)
• B-B-C x 12 (59.37°, 59.37°, 61.26°)
• B-D-E x 24 (52.98°, 56.71°, 70.32°)
• E-E-F x 12 (56.10°, 56.10°, 67.80°)
• F-F-F x 4 (60.00°, 60.00°, 60.00°)
• 5 kinds of faces2)
• 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

#### 4V Octahedron Dome Calculator

 Geodesic 4V Octahedron Dome (Human is 170cm/5'7")

d = , lhole =
(Edit numbers & hit TAB to recalculate)

• Alath = x 16,
• Blath = x 24,
• Clath = x 12,
• Dlath = x 16,
• Elath = x 24,
• Flath = x 12,
• h =

### L3 Octahedron Dome

 Geodesic L3 Octahedron Dome (front view)
 Geodesic L3 Octahedron Dome (bird view)
• vertices/connectors: 41
• 4 x 3-way
• 13 x 4-way
• 24 x 6-way
•  L3 Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 32: 0.39018 (11.25°)
• B x 24: 0.42291 (12.21°)
• C x 24: 0.51764 (15.00°)
• D x 12: 0.54120 (15.70°)
• E x 12: 0.57735 (16.78°)
• total 104 struts (5 kinds)1)
• strut variance 48.0%
• faces: 64 (3-sided)
• A-A-D x 12 (46.09°, 46.09°, 87.81°)
• A-B-C x 24 (47.72°, 53.31°, 78.96°)
• B-B-D x 12 (50.22°, 50.22°, 79.56°)
• C-C-E x 12 (56.10°, 56.10°, 67.80°)
• E-E-E x 4 (60.00°, 60.00°, 60.00°)
• 5 kinds of faces2)
• 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

#### L3 Octahedron Dome Calculator

 Geodesic L3 Octahedron Dome (Human is 170cm/5'7")

d = , lhole =
(Edit numbers & hit TAB to recalculate)

• Alath = x 32,
• Blath = x 24,
• Clath = x 24,
• Dlath = x 12,
• Elath = x 12,
• h =

The nice thing is here, that the L3 provides at 3/8 and 5/8 also an almost even base line.

### L3 1/4 Octahedron Dome

 Geodesic L3 3/8 Octahedron Dome (front view)
 Geodesic L3 3/8 Octahedron Dome (bird view)
• vertices/connectors: 25
• 4 x 3-way
• 9 x 4-way
• 12 x 6-way
•  L3 3/8 Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 12: 0.39018 (11.25°)
• B x 16: 0.42291 (12.21°)
• C x 16: 0.51764 (15.00°)
• D x 4: 0.54120 (15.70°)
• E x 12: 0.57735 (16.78°)
• total 60 struts (5 kinds)1)
• strut variance 48.0%
• faces: 36 (3-sided)
• A-A-D x 4 (46.09°, 46.09°, 87.81°)
• A-B-C x 16 (47.72°, 53.31°, 78.96°)
• B-B-D x 4 (50.22°, 50.22°, 79.56°)
• C-C-E x 8 (56.10°, 56.10°, 67.80°)
• E-E-E x 4 (60.00°, 60.00°, 60.00°)
• 5 kinds of faces2)
• height: 0.617 or 30.87% 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

#### L3 3/8 Octahedron Dome Calculator

 Geodesic L3 3/8 Octahedron Dome (Human is 170cm/5'7")

d = , lhole =
(Edit numbers & hit TAB to recalculate)

• Alath = x 12,
• Blath = x 16,
• Clath = x 16,
• Dlath = x 4,
• Elath = x 12,
• h =

Here again uneven base, for heavy construction leveling necessary.

### L3 5/8 Octahedron Dome

 Geodesic L3 5/8 Octahedron Dome (front view)
 Geodesic L3 5/8 Octahedron Dome (bird view)
• vertices/connectors: 53
• 13 x 4-way
• 4 x 5-way
• 36 x 6-way
•  L3 5/8 Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 36: 0.39018 (11.25°)
• B x 40: 0.42291 (12.21°)
• C x 32: 0.51764 (15.00°)
• D x 20: 0.54120 (15.70°)
• E x 16: 0.57735 (16.78°)
• total 144 struts (5 kinds)1)
• strut variance 48.0%
• faces: 92 (3-sided)
• A-A-D x 20 (46.09°, 46.09°, 87.81°)
• A-B-C x 32 (47.72°, 53.31°, 78.96°)
• B-B-D x 20 (50.22°, 50.22°, 79.56°)
• C-C-E x 16 (56.10°, 56.10°, 67.80°)
• E-E-E x 4 (60.00°, 60.00°, 60.00°)
• 5 kinds of faces2)
• height: 1.408 or 70.41% 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

#### L3 5/8 Octahedron Dome Calculator

 Geodesic L3 5/8 Octahedron Dome (Human is 170cm/5'7")

d = , lhole =
(Edit numbers & hit TAB to recalculate)

• Alath = x 36,
• Blath = x 40,
• Clath = x 32,
• Dlath = x 20,
• Elath = x 16,
• h =

Here again uneven base, for heavy construction leveling necessary.

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Creative Commons (CC) BY-SA-NC 2005-2017, developed, designed and written by René K. Müller
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