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# Geodesic Dome Notes & Calculator

written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Sun, September 22, 2013

### 9V Octahedron Dome

 Geodesic 9V Octahedron Dome (front view)
 Geodesic 9V Octahedron Dome (bird view)
• vertices/connectors: 181
• 4 x 3-way
• 33 x 4-way
• 144 x 6-way
•  9V Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 16: 0.12427 (3.56°)
• B x 24: 0.14146 (4.06°)
• C x 16: 0.15379 (4.41°)
• D x 24: 0.16250 (4.66°)
• E x 12: 0.17541 (5.03°)
• F x 24: 0.17837 (5.12°)
• G x 16: 0.18508 (5.31°)
• H x 24: 0.18597 (5.34°)
• I x 24: 0.19519 (5.60°)
• J x 48: 0.20635 (5.92°)
• K x 40: 0.21070 (6.05°)
• L x 48: 0.21572 (6.19°)
• M x 20: 0.22086 (6.34°)
• N x 24: 0.23223 (6.67°)
• O x 48: 0.24080 (6.92°)
• P x 48: 0.24592 (7.06°)
• Q x 24: 0.26261 (7.55°)
• R x 24: 0.26495 (7.61°)
• total 504 struts (18 kinds)1)
• strut variance 113.2%
• faces: 324 (3-sided)
• A-A-E x 12 (45.13°, 45.13°, 89.75°)
• B-B-E x 12 (51.70°, 51.70°, 76.60°)
• B-C-I x 24 (45.97°, 51.39°, 82.64°)
• D-F-I x 24 (51.32°, 58.99°, 69.68°)
• D-G-K x 24 (47.94°, 57.75°, 74.30°)
• F-F-M x 12 (51.75°, 51.75°, 76.50°)
• H-K-L x 48 (51.71°, 62.76°, 65.53°)
• J-J-M x 24 (57.65°, 57.65°, 64.70°)
• J-L-O x 48 (53.42°, 57.05°, 69.53°)
• N-O-P x 48 (56.98°, 60.40°, 62.62°)
• P-P-Q x 24 (57.73°, 57.73°, 64.55°)
• Q-R-R x 24 (59.40°, 60.30°, 60.30°)
• 12 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

#### 9V Octahedron Dome Calculator

 Geodesic 9V Octahedron Dome (Human is 170cm/5'7")

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

• Alath = x 16,
• Blath = x 24,
• Clath = x 16,
• Dlath = x 24,
• Elath = x 12,
• Flath = x 24,
• Glath = x 16,
• Hlath = x 24,
• Ilath = x 24,
• Jlath = x 48,
• Klath = x 40,
• Llath = x 48,
• Mlath = x 20,
• Nlath = x 24,
• Olath = x 48,
• Plath = x 48,
• Qlath = x 24,
• Rlath = x 24,
• h =

### 3V.3V Octahedron Dome

 Geodesic 3V.3V Octahedron Dome (front view)
 Geodesic 3V.3V Octahedron Dome (bird view)
• vertices/connectors: 181
• 4 x 3-way
• 33 x 4-way
• 144 x 6-way
•  3V.3V Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 32: 0.15315 (4.39°)
• B x 16: 0.15689 (4.50°)
• C x 24: 0.15697 (4.50°)
• D x 24: 0.15706 (4.50°)
• E x 24: 0.16057 (4.60°)
• F x 40: 0.21070 (6.05°)
• G x 12: 0.21595 (6.20°)
• H x 24: 0.21723 (6.24°)
• I x 20: 0.22086 (6.34°)
• J x 24: 0.22224 (6.38°)
• K x 96: 0.22365 (6.42°)
• L x 48: 0.23512 (6.75°)
• M x 24: 0.23594 (6.77°)
• N x 48: 0.23610 (6.78°)
• O x 48: 0.23760 (6.82°)
• total 504 struts (15 kinds)1)
• strut variance 55.1%
• faces: 324 (3-sided)
• A-A-G x 12 (45.17°, 45.17°, 89.65°)
• A-D-F x 24 (46.46°, 48.02°, 85.52°)
• B-C-H x 24 (46.20°, 46.24°, 87.57°)
• C-C-G x 12 (46.54°, 46.54°, 86.93°)
• D-E-H x 24 (46.20°, 47.55°, 86.25°)
• E-E-I x 12 (46.55°, 46.55°, 86.90°)
• F-K-L x 48 (54.62°, 59.91°, 65.47°)
• I-N-N x 24 (55.78°, 62.11°, 62.11°)
• J-K-K x 24 (59.59°, 60.21°, 60.21°)
• J-O-O x 24 (55.76°, 62.12°, 62.12°)
• K-L-N x 48 (56.66°, 61.45°, 61.90°)
• K-M-O x 48 (56.36°, 61.44°, 62.21°)
• 12 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

#### 3V.3V Octahedron Dome Calculator

 Geodesic 3V.3V Octahedron Dome (Human is 170cm/5'7")

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

• Alath = x 32,
• Blath = x 16,
• Clath = x 24,
• Dlath = x 24,
• Elath = x 24,
• Flath = x 40,
• Glath = x 12,
• Hlath = x 24,
• Ilath = x 20,
• Jlath = x 24,
• Klath = x 96,
• Llath = x 48,
• Mlath = x 24,
• Nlath = x 48,
• Olath = x 48,
• h =

### 10V Octahedron Dome

 Geodesic 10V Octahedron Dome (front view)
 Geodesic 10V Octahedron Dome (bird view)
• vertices/connectors: 221
• 4 x 3-way
• 37 x 4-way
• 180 x 6-way
•  10V Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 16: 0.11060 (3.17°)
• B x 24: 0.12408 (3.56°)
• C x 16: 0.13422 (3.85°)
• D x 24: 0.14037 (4.02°)
• E x 24: 0.15305 (4.39°)
• F x 12: 0.15617 (4.48°)
• G x 24: 0.15897 (4.56°)
• H x 16: 0.15974 (4.58°)
• I x 24: 0.17214 (4.94°)
• J x 24: 0.17475 (5.01°)
• K x 24: 0.17715 (5.08°)
• L x 16: 0.18286 (5.25°)
• M x 24: 0.18357 (5.27°)
• N x 24: 0.18563 (5.33°)
• O x 24: 0.18984 (5.45°)
• P x 12: 0.19245 (5.52°)
• Q x 24: 0.19270 (5.53°)
• R x 24: 0.19673 (5.65°)
• S x 16: 0.19708 (5.66°)
• T x 24: 0.20840 (5.98°)
• U x 24: 0.20865 (5.99°)
• V x 24: 0.20967 (6.02°)
• W x 24: 0.21329 (6.12°)
• X x 24: 0.21808 (6.26°)
• Y x 12: 0.21822 (6.26°)
• Z x 24: 0.22923 (6.58°)
• AA x 12: 0.22942 (6.59°)
• AB x 24: 0.23096 (6.63°)
• AC x 24: 0.23738 (6.82°)
• AD x 12: 0.24254 (6.97°)
• total 620 struts (30 kinds)1)
• strut variance 119.3%
• faces: 400 (3-sided)
• A-A-F x 12 (45.08°, 45.08°, 89.84°)
• AA-U-U x 12 (66.68°, 56.66°, 56.66°)
• AA-Z-Z x 12 (60.06°, 59.97°, 59.97°)
• AB-AC-Z x 24 (59.32°, 62.11°, 58.57°)
• AB-W-X x 24 (64.74°, 56.62°, 58.64°)
• AC-AC-AD x 12 (59.29°, 59.29°, 61.43°)
• B-B-F x 12 (51.00°, 51.00°, 78.00°)
• B-C-I x 24 (45.76°, 50.78°, 83.46°)
• D-E-I x 24 (50.76°, 57.56°, 71.68°)
• D-H-N x 24 (47.25°, 56.64°, 76.11°)
• E-E-P x 12 (51.02°, 51.02°, 77.97°)
• G-L-Q x 24 (50.01°, 61.80°, 68.20°)
• G-M-N x 24 (51.02°, 63.84°, 65.14°)
• J-J-P x 12 (56.57°, 56.57°, 66.86°)
• J-M-V x 24 (52.23°, 56.18°, 71.59°)
• K-O-S x 24 (54.48°, 60.66°, 64.86°)
• K-Q-T x 24 (52.26°, 59.31°, 68.43°)
• O-O-Y x 12 (54.91°, 54.91°, 70.17°)
• R-T-X x 24 (54.87°, 60.06°, 65.07°)
• R-U-V x 24 (56.08°, 61.70°, 62.22°)
• W-W-Y x 12 (59.24°, 59.24°, 61.53°)
• 22 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

#### 10V Octahedron Dome Calculator

 Geodesic 10V Octahedron Dome (Human is 170cm/5'7")

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

• Alath = x 16,
• Blath = x 24,
• Clath = x 16,
• Dlath = x 24,
• Elath = x 24,
• Flath = x 12,
• Glath = x 24,
• Hlath = x 16,
• Ilath = x 24,
• Jlath = x 24,
• Klath = x 24,
• Llath = x 16,
• Mlath = x 24,
• Nlath = x 24,
• Olath = x 24,
• Plath = x 12,
• Qlath = x 24,
• Rlath = x 24,
• Slath = x 16,
• Tlath = x 24,
• Ulath = x 24,
• Vlath = x 24,
• Wlath = x 24,
• Xlath = x 24,
• Ylath = x 12,
• Zlath = x 24,
• AAlath = x 12,
• ABlath = x 24,
• AClath = x 24,
• h =

### 2V.5V Octahedron Dome

 Geodesic 2V.5V Octahedron Dome (front view)
 Geodesic 2V.5V Octahedron Dome (bird view)
• vertices/connectors: 221
• 4 x 3-way
• 37 x 4-way
• 180 x 6-way
•  2V.5V Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 32: 0.14897 (4.27°)
• B x 24: 0.15701 (4.50°)
• C x 24: 0.15942 (4.57°)
• D x 32: 0.16077 (4.61°)
• E x 24: 0.16200 (4.65°)
• F x 24: 0.16287 (4.67°)
• G x 16: 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 24: 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 24: 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 12: 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 620 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)
• 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

#### 2V.5V Octahedron Dome Calculator

 Geodesic 2V.5V 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 32,
• Elath = x 24,
• Flath = x 24,
• Glath = x 16,
• Hlath = x 24,
• Ilath = x 24,
• Jlath = x 24,
• Klath = x 24,
• Llath = x 24,
• Mlath = x 24,
• Nlath = x 24,
• Olath = x 24,
• Plath = x 12,
• Qlath = x 24,
• Rlath = x 24,
• Slath = x 24,
• Tlath = x 24,
• Ulath = x 12,
• Vlath = x 12,
• Wlath = x 24,
• Xlath = x 24,
• Ylath = x 12,
• Zlath = x 24,
• AAlath = x 24,
• ABlath = x 12,
• h =

### 2V.5V Octahedron Dome

 Geodesic 5V.2V Octahedron Dome (front view)
 Geodesic 5V.2V Octahedron Dome (bird view)
• vertices/connectors: 221
• 4 x 3-way
• 37 x 4-way
• 180 x 6-way
•  5V.2V Octahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 32: 0.12241 (3.51°)
• B x 24: 0.12334 (3.54°)
• C x 48: 0.15757 (4.52°)
• D x 24: 0.15923 (4.57°)
• E x 24: 0.15977 (4.58°)
• F x 32: 0.17130 (4.91°)
• G x 24: 0.17214 (4.94°)
• H x 12: 0.17279 (4.96°)
• I x 24: 0.17332 (4.97°)
• J x 12: 0.17365 (4.98°)
• K x 48: 0.19523 (5.60°)
• L x 16: 0.19708 (5.66°)
• M x 24: 0.19810 (5.68°)
• N x 24: 0.19866 (5.70°)
• O x 12: 0.19993 (5.74°)
• P x 48: 0.20119 (5.77°)
• Q x 24: 0.20290 (5.82°)
• R x 24: 0.20452 (5.87°)
• S x 48: 0.21981 (6.31°)
• T x 24: 0.22285 (6.40°)
• U x 24: 0.22431 (6.44°)
• V x 24: 0.23738 (6.82°)
• W x 12: 0.24154 (6.94°)
• X x 12: 0.24254 (6.97°)
• total 620 struts (24 kinds)1)
• strut variance 98.1%
• faces: 400 (3-sided)
• A-A-H x 12 (45.10°, 45.10°, 89.80°)
• A-B-G x 24 (45.32°, 45.75°, 88.93°)
• B-B-H x 12 (45.51°, 45.51°, 88.97°)
• C-C-J x 12 (56.58°, 56.58°, 66.84°)
• C-D-G x 24 (56.65°, 57.54°, 65.81°)
• C-F-Q x 24 (48.92°, 55.02°, 76.05°)
• C-I-P x 24 (49.08°, 56.19°, 74.73°)
• D-D-J x 12 (56.96°, 56.96°, 66.08°)
• E-F-P x 24 (50.02°, 55.23°, 74.75°)
• E-I-Q x 24 (49.51°, 55.56°, 74.93°)
• K-K-O x 12 (59.20°, 59.20°, 61.60°)
• K-L-M x 24 (59.20°, 60.15°, 60.66°)
• K-P-T x 24 (54.53°, 57.09°, 68.38°)
• K-R-S x 24 (54.64°, 58.69°, 66.67°)
• M-M-O x 12 (59.70°, 59.70°, 60.60°)
• N-P-S x 24 (56.12°, 57.20°, 66.68°)
• N-R-T x 24 (55.22°, 57.71°, 67.07°)
• S-S-W x 12 (56.68°, 56.68°, 66.65°)
• S-U-V x 24 (56.77°, 58.61°, 64.62°)
• U-U-W x 12 (57.43°, 57.43°, 65.14°)
• V-V-X x 12 (59.29°, 59.29°, 61.43°)
• X-X-X x 4 (60.00°, 60.00°, 60.00°)
• 22 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

#### 5V.2V Octahedron Dome Calculator

 Geodesic 5V.2V Octahedron Dome (Human is 170cm/5'7")

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

• Alath = x 32,
• Blath = x 24,
• Clath = x 48,
• Dlath = x 24,
• Elath = x 24,
• Flath = x 32,
• Glath = x 24,
• Hlath = x 12,
• Ilath = x 24,
• Jlath = x 12,
• Klath = x 48,
• Llath = x 16,
• Mlath = x 24,
• Nlath = x 24,
• Olath = x 12,
• Plath = x 48,
• Qlath = x 24,
• Rlath = x 24,
• Slath = x 48,
• Tlath = x 24,
• Ulath = x 24,
• Vlath = x 24,
• Wlath = x 12,
• Xlath = x 12,
• h =

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Creative Commons (CC) BY, SA, NC 2005-2015, developed, designed and written by René K. Müller,
Graphics & illustrations made with Inkscape, Tgif, Gimp, PovRay, GD.pm