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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)
  • 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

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)
  • 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

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°)
    • AD-AD-AD x 4 (60.00°, 60.00°, 60.00°)
    • 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)
  • 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

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,
  • ADlath = x 12,
  • 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)
  • 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

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)
  • 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

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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