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Geodesic Dome Notes & Calculator

written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, February 16, 2016

5V Cuboctahedron Dome


Geodesic 5V Cuboctahedron Dome (front view)

Geodesic 5V Cuboctahedron Dome (bird view)
  • vertices/connectors: 216
    • 33 x 4-way
    • 183 x 6-way

  • 5V Cuboctahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 24: 0.14897 (4.27°)
    • B x 24: 0.15701 (4.50°)
    • C x 24: 0.15942 (4.57°)
    • D x 24: 0.16077 (4.61°)
    • E x 24: 0.16199 (4.65°)
    • F x 24: 0.16287 (4.67°)
    • G x 12: 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 30: 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 30: 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 15: 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 615 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: 0.990 or 49.51% 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 Cuboctahedron Dome Calculator


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

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

  • Alath = x 24,
  • Blath = x 24,
  • Clath = x 24,
  • Dlath = x 24,
  • Elath = x 24,
  • Flath = x 24,
  • Glath = x 12,
  • Hlath = x 24,
  • Ilath = x 24,
  • Jlath = x 24,
  • Klath = x 24,
  • Llath = x 24,
  • Mlath = x 24,
  • Nlath = x 30,
  • Olath = x 24,
  • Plath = x 12,
  • Qlath = x 24,
  • Rlath = x 24,
  • Slath = x 24,
  • Tlath = x 30,
  • Ulath = x 12,
  • Vlath = x 12,
  • Wlath = x 24,
  • Xlath = x 24,
  • Ylath = x 15,
  • Zlath = x 24,
  • AAlath = x 24,
  • ABlath = x 12,
  • h =


6V Cuboctahedron Dome


Geodesic 6V Cuboctahedron Dome (front view)

Geodesic 6V Cuboctahedron Dome (bird view)
  • vertices/connectors: 307
    • 39 x 4-way
    • 268 x 6-way

  • 6V Cuboctahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 24: 0.12319 (3.53°)
    • B x 24: 0.12886 (3.69°)
    • C x 24: 0.13134 (3.77°)
    • D x 24: 0.13213 (3.79°)
    • E x 24: 0.13294 (3.81°)
    • F x 24: 0.13429 (3.85°)
    • G x 24: 0.13485 (3.87°)
    • H x 24: 0.13595 (3.90°)
    • I x 24: 0.13710 (3.93°)
    • J x 24: 0.13831 (3.97°)
    • K x 24: 0.14205 (4.07°)
    • L x 24: 0.14228 (4.08°)
    • M x 24: 0.14239 (4.08°)
    • N x 24: 0.14313 (4.10°)
    • O x 24: 0.14372 (4.12°)
    • P x 24: 0.14489 (4.15°)
    • Q x 24: 0.14671 (4.21°)
    • R x 24: 0.14719 (4.22°)
    • S x 30: 0.15602 (4.47°)
    • T x 24: 0.16762 (4.81°)
    • U x 24: 0.17260 (4.95°)
    • V x 12: 0.17389 (4.99°)
    • W x 24: 0.17620 (5.05°)
    • X x 30: 0.17706 (5.08°)
    • Y x 24: 0.17943 (5.15°)
    • Z x 12: 0.17961 (5.15°)
    • AA x 24: 0.18035 (5.17°)
    • AB x 24: 0.18541 (5.32°)
    • AC x 24: 0.18597 (5.34°)
    • AD x 12: 0.18657 (5.35°)
    • AE x 24: 0.18878 (5.42°)
    • AF x 54: 0.18984 (5.45°)
    • AG x 12: 0.19220 (5.51°)
    • AH x 48: 0.19238 (5.52°)
    • AI x 24: 0.20000 (5.74°)
    • AJ x 24: 0.20102 (5.77°)
    • total 882 struts (36 kinds)1)
    • strut variance 63.1%
  • faces: 576 (3-sided)
    • A-A-V x 12 (45.11°, 45.11°, 89.78°)
    • A-C-S x 24 (49.88°, 54.59°, 75.53°)
    • AA-E-I x 24 (83.83°, 47.09°, 49.08°)
    • AA-G-N x 24 (80.90°, 47.55°, 51.56°)
    • AB-K-P x 24 (80.47°, 49.10°, 50.42°)
    • AB-L-O x 24 (80.82°, 49.26°, 49.92°)
    • AC-AF-AH x 48 (58.24°, 60.18°, 61.58°)
    • AD-J-J x 12 (84.85°, 47.58°, 47.58°)
    • AD-M-M x 12 (81.87°, 49.07°, 49.07°)
    • AE-M-N x 24 (82.80°, 48.44°, 48.76°)
    • AE-O-Q x 24 (81.10°, 48.76°, 50.14°)
    • AF-P-R x 24 (81.05°, 48.95°, 50.01°)
    • AF-U-X x 24 (65.73°, 56.00°, 58.28°)
    • AG-Q-Q x 12 (81.85°, 49.07°, 49.07°)
    • AG-R-R x 12 (81.51°, 49.24°, 49.24°)
    • AH-AH-AI x 24 (58.68°, 58.68°, 62.63°)
    • AI-AJ-AJ x 24 (59.67°, 60.16°, 60.16°)
    • B-B-V x 12 (47.58°, 47.58°, 84.84°)
    • B-D-Y x 24 (45.84°, 47.33°, 86.83°)
    • C-H-T x 24 (49.94°, 52.39°, 77.67°)
    • D-F-T x 24 (50.43°, 51.60°, 77.97°)
    • E-J-Y x 24 (47.30°, 49.89°, 82.80°)
    • F-L-W x 24 (48.45°, 52.47°, 79.08°)
    • G-I-W x 24 (49.04°, 50.18°, 80.78°)
    • H-K-X x 24 (48.90°, 51.99°, 79.11°)
    • S-S-Z x 12 (54.86°, 54.86°, 70.29°)
    • U-U-Z x 12 (58.65°, 58.65°, 62.70°)
    • 27 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

6V Cuboctahedron Dome Calculator


Geodesic 6V Cuboctahedron Dome (Human is 170cm/5'7")

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

  • Alath = x 24,
  • Blath = x 24,
  • Clath = x 24,
  • Dlath = x 24,
  • Elath = x 24,
  • Flath = x 24,
  • Glath = x 24,
  • 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 24,
  • Qlath = x 24,
  • Rlath = x 24,
  • Slath = x 30,
  • Tlath = x 24,
  • Ulath = x 24,
  • Vlath = x 12,
  • Wlath = x 24,
  • Xlath = x 30,
  • Ylath = x 24,
  • Zlath = x 12,
  • AAlath = x 24,
  • ABlath = x 24,
  • AClath = x 24,
  • ADlath = x 12,
  • AElath = x 24,
  • AFlath = x 54,
  • AGlath = x 12,
  • AHlath = x 48,
  • AIlath = x 24,
  • AJlath = x 24,
  • h =


2V.3V Cuboctahedron Dome


Geodesic 2V.3V Cuboctahedron Dome (front view)

Geodesic 2V.3V Cuboctahedron Dome (bird view)
  • vertices/connectors: 307
    • 39 x 4-way
    • 268 x 6-way

  • 2V.3V Cuboctahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 48: 0.13005 (3.73°)
    • B x 48: 0.13235 (3.79°)
    • C x 24: 0.13239 (3.80°)
    • D x 24: 0.13292 (3.81°)
    • E x 24: 0.13301 (3.81°)
    • F x 24: 0.13431 (3.85°)
    • G x 24: 0.13456 (3.86°)
    • H x 48: 0.14095 (4.04°)
    • I x 24: 0.14363 (4.12°)
    • J x 24: 0.14376 (4.12°)
    • K x 24: 0.14386 (4.12°)
    • L x 24: 0.14407 (4.13°)
    • M x 24: 0.14420 (4.13°)
    • N x 24: 0.14559 (4.17°)
    • O x 24: 0.14602 (4.19°)
    • P x 60: 0.17250 (4.95°)
    • Q x 24: 0.17578 (5.04°)
    • R x 24: 0.17622 (5.05°)
    • S x 24: 0.17677 (5.07°)
    • T x 30: 0.17792 (5.10°)
    • U x 24: 0.17845 (5.12°)
    • V x 24: 0.17859 (5.12°)
    • W x 24: 0.18000 (5.16°)
    • X x 24: 0.18035 (5.17°)
    • Y x 12: 0.18353 (5.27°)
    • Z x 12: 0.18409 (5.28°)
    • AA x 24: 0.18431 (5.29°)
    • AB x 24: 0.18489 (5.30°)
    • AC x 12: 0.18657 (5.35°)
    • AD x 24: 0.19238 (5.52°)
    • AE x 12: 0.19845 (5.69°)
    • AF x 24: 0.19944 (5.72°)
    • AG x 24: 0.20000 (5.74°)
    • AH x 24: 0.20102 (5.77°)
    • total 882 struts (34 kinds)1)
    • strut variance 54.6%
  • faces: 576 (3-sided)
    • A-A-Y x 12 (45.11°, 45.11°, 89.78°)
    • A-C-X x 24 (46.02°, 47.12°, 86.86°)
    • A-H-Q x 24 (46.89°, 52.30°, 80.82°)
    • A-J-P x 24 (47.47°, 54.60°, 77.92°)
    • AA-B-B x 24 (88.30°, 45.85°, 45.85°)
    • AA-C-G x 24 (87.30°, 45.86°, 46.85°)
    • AB-K-L x 24 (79.88°, 50.01°, 50.11°)
    • AB-M-O x 24 (79.16°, 49.99°, 50.85°)
    • AC-G-G x 12 (87.76°, 46.12°, 46.12°)
    • AC-O-O x 12 (79.44°, 50.28°, 50.28°)
    • AD-AD-AG x 12 (58.68°, 58.68°, 62.63°)
    • AD-P-U x 24 (66.48°, 55.29°, 58.23°)
    • AE-P-P x 12 (70.21°, 54.90°, 54.90°)
    • AE-V-V x 12 (67.48°, 56.26°, 56.26°)
    • AF-T-V x 24 (68.02°, 55.82°, 56.16°)
    • AF-U-W x 24 (67.61°, 55.81°, 56.58°)
    • AG-AH-AH x 24 (59.67°, 60.16°, 60.16°)
    • AG-W-W x 12 (67.50°, 56.25°, 56.25°)
    • B-B-Y x 12 (46.09°, 46.09°, 87.82°)
    • B-I-R x 24 (47.54°, 53.20°, 79.26°)
    • D-I-Q x 24 (47.88°, 53.27°, 78.86°)
    • D-K-S x 24 (47.61°, 53.10°, 79.28°)
    • E-H-P x 24 (48.96°, 53.03°, 78.01°)
    • E-N-S x 24 (47.52°, 53.84°, 78.64°)
    • F-J-R x 24 (48.33°, 53.12°, 78.55°)
    • F-N-T x 24 (47.78°, 53.41°, 78.81°)
    • H-H-Z x 12 (49.21°, 49.21°, 81.58°)
    • H-M-X x 24 (49.94°, 51.56°, 78.50°)
    • L-L-Z x 12 (50.30°, 50.30°, 79.40°)
    • 29 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.3V Cuboctahedron Dome Calculator


Geodesic 2V.3V Cuboctahedron Dome (Human is 170cm/5'7")

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

  • Alath = x 48,
  • Blath = x 48,
  • Clath = x 24,
  • Dlath = x 24,
  • Elath = x 24,
  • Flath = x 24,
  • Glath = x 24,
  • Hlath = x 48,
  • Ilath = x 24,
  • Jlath = x 24,
  • Klath = x 24,
  • Llath = x 24,
  • Mlath = x 24,
  • Nlath = x 24,
  • Olath = x 24,
  • Plath = x 60,
  • Qlath = x 24,
  • Rlath = x 24,
  • Slath = x 24,
  • Tlath = x 30,
  • Ulath = x 24,
  • Vlath = x 24,
  • Wlath = x 24,
  • Xlath = x 24,
  • Ylath = x 12,
  • Zlath = x 12,
  • AAlath = x 24,
  • ABlath = x 24,
  • AClath = x 12,
  • ADlath = x 24,
  • AElath = x 12,
  • AFlath = x 24,
  • AGlath = x 24,
  • AHlath = x 24,
  • h =


3V.2V Cuboctahedron Dome


Geodesic 3V.2V Cuboctahedron Dome (front view)

Geodesic 3V.2V Cuboctahedron Dome (bird view)
  • vertices/connectors: 307
    • 39 x 4-way
    • 268 x 6-way

  • 3V.2V Cuboctahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 48: 0.12766 (3.66°)
    • B x 24: 0.12871 (3.69°)
    • C x 24: 0.12884 (3.69°)
    • D x 24: 0.13710 (3.93°)
    • E x 48: 0.13767 (3.95°)
    • F x 48: 0.13817 (3.96°)
    • G x 24: 0.13839 (3.97°)
    • H x 48: 0.13896 (3.98°)
    • I x 24: 0.13926 (3.99°)
    • J x 24: 0.13962 (4.00°)
    • K x 48: 0.14580 (4.18°)
    • L x 24: 0.14716 (4.22°)
    • M x 24: 0.14733 (4.22°)
    • N x 60: 0.16654 (4.78°)
    • O x 24: 0.16744 (4.80°)
    • P x 24: 0.16860 (4.84°)
    • Q x 24: 0.17943 (5.15°)
    • R x 12: 0.18017 (5.17°)
    • S x 12: 0.18041 (5.18°)
    • T x 48: 0.18249 (5.24°)
    • U x 24: 0.18346 (5.26°)
    • V x 24: 0.18358 (5.27°)
    • W x 54: 0.18984 (5.45°)
    • X x 12: 0.19101 (5.48°)
    • Y x 12: 0.19164 (5.50°)
    • Z x 24: 0.19259 (5.53°)
    • AA x 48: 0.19350 (5.55°)
    • AB x 48: 0.19619 (5.63°)
    • total 882 struts (28 kinds)1)
    • strut variance 53.6%
  • faces: 576 (3-sided)
    • A-A-R x 12 (45.13°, 45.13°, 89.75°)
    • A-B-Q x 24 (45.37°, 45.83°, 88.80°)
    • A-F-O x 24 (48.24°, 53.83°, 77.92°)
    • A-I-N x 24 (48.36°, 54.61°, 77.02°)
    • AA-AA-Z x 24 (60.15°, 60.15°, 59.69°)
    • AA-AB-W x 48 (60.14°, 61.57°, 58.29°)
    • AB-AB-Z x 24 (60.61°, 60.61°, 58.79°)
    • B-B-R x 12 (45.57°, 45.57°, 88.87°)
    • C-F-N x 24 (48.93°, 54.00°, 77.07°)
    • C-I-O x 24 (48.61°, 54.23°, 77.17°)
    • D-E-U x 24 (47.97°, 48.25°, 83.79°)
    • D-H-T x 24 (48.18°, 49.07°, 82.75°)
    • E-E-S x 12 (49.08°, 49.08°, 81.85°)
    • E-G-T x 24 (48.46°, 48.79°, 82.75°)
    • E-H-Q x 24 (49.27°, 49.90°, 80.83°)
    • F-K-V x 24 (47.94°, 51.56°, 80.50°)
    • F-L-T x 24 (48.11°, 52.46°, 79.43°)
    • G-H-U x 24 (48.45°, 48.73°, 82.83°)
    • H-H-S x 12 (49.54°, 49.54°, 80.92°)
    • J-K-T x 24 (48.77°, 51.76°, 79.47°)
    • J-L-V x 24 (48.40°, 52.04°, 79.56°)
    • K-K-X x 12 (49.08°, 49.08°, 81.84°)
    • K-M-W x 24 (49.30°, 49.99°, 80.71°)
    • M-M-X x 12 (49.58°, 49.58°, 80.83°)
    • N-N-Y x 12 (54.87°, 54.87°, 70.25°)
    • N-P-W x 24 (54.98°, 56.02°, 69.00°)
    • P-P-Y x 12 (55.37°, 55.37°, 69.25°)
    • 27 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.2V Cuboctahedron Dome Calculator


Geodesic 3V.2V Cuboctahedron Dome (Human is 170cm/5'7")

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

  • Alath = x 48,
  • Blath = x 24,
  • Clath = x 24,
  • Dlath = x 24,
  • Elath = x 48,
  • Flath = x 48,
  • Glath = x 24,
  • Hlath = x 48,
  • Ilath = x 24,
  • Jlath = x 24,
  • Klath = x 48,
  • Llath = x 24,
  • Mlath = x 24,
  • Nlath = x 60,
  • Olath = x 24,
  • Plath = x 24,
  • Qlath = x 24,
  • Rlath = x 12,
  • Slath = x 12,
  • Tlath = x 48,
  • Ulath = x 24,
  • Vlath = x 24,
  • Wlath = x 54,
  • Xlath = x 12,
  • Ylath = x 12,
  • Zlath = x 24,
  • AAlath = x 48,
  • ABlath = x 48,
  • h =



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