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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 Cube Dome


Geodesic 5V Cube Dome (front view)

Geodesic 5V Cube Dome (bird view)
  • vertices/connectors: 166
    • 2 x 3-way
    • 30 x 4-way
    • 134 x 6-way

  • 5V Cube Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 28: 0.17629 (5.06°)
    • B x 24: 0.19100 (5.48°)
    • C x 24: 0.19686 (5.65°)
    • D x 28: 0.19765 (5.67°)
    • E x 24: 0.20103 (5.77°)
    • F x 24: 0.20327 (5.83°)
    • G x 38: 0.20588 (5.91°)
    • H x 14: 0.21382 (6.14°)
    • I x 24: 0.21400 (6.14°)
    • J x 24: 0.21992 (6.31°)
    • K x 24: 0.22028 (6.32°)
    • L x 24: 0.22264 (6.39°)
    • M x 24: 0.22437 (6.44°)
    • N x 24: 0.24051 (6.91°)
    • O x 12: 0.24834 (7.13°)
    • P x 24: 0.25832 (7.42°)
    • Q x 14: 0.26002 (7.47°)
    • R x 24: 0.26089 (7.50°)
    • S x 24: 0.27779 (7.98°)
    • T x 12: 0.27793 (7.99°)
    • U x 7: 0.28006 (8.05°)
    • total 465 struts (21 kinds)1)
    • strut variance 58.9%
  • faces: 300 (3-sided)
    • A-A-O x 12 (45.24°, 45.24°, 89.53°)
    • A-C-H x 24 (50.64°, 59.71°, 69.65°)
    • B-B-O x 12 (49.46°, 49.46°, 81.08°)
    • B-D-R x 24 (46.76°, 48.91°, 84.33°)
    • C-G-N x 24 (51.64°, 55.08°, 73.28°)
    • D-F-N x 24 (52.06°, 54.23°, 73.71°)
    • E-G-P x 24 (49.76°, 51.44°, 78.80°)
    • E-I-R x 24 (48.86°, 53.30°, 77.84°)
    • F-J-P x 24 (49.52°, 55.36°, 75.12°)
    • G-K-Q x 24 (49.93°, 54.97°, 75.10°)
    • I-I-T x 12 (49.51°, 49.51°, 80.98°)
    • J-L-S x 24 (50.68°, 51.55°, 77.77°)
    • K-M-S x 24 (50.68°, 52.00°, 77.31°)
    • L-L-T x 12 (51.38°, 51.38°, 77.25°)
    • M-M-U x 12 (51.38°, 51.38°, 77.23°)
    • 15 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 Cube Dome Calculator


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

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

  • Alath = x 28,
  • Blath = x 24,
  • Clath = x 24,
  • Dlath = x 28,
  • Elath = x 24,
  • Flath = x 24,
  • Glath = x 38,
  • Hlath = x 14,
  • Ilath = x 24,
  • Jlath = x 24,
  • Klath = x 24,
  • Llath = x 24,
  • Mlath = x 24,
  • Nlath = x 24,
  • Olath = x 12,
  • Plath = x 24,
  • Qlath = x 14,
  • Rlath = x 24,
  • Slath = x 24,
  • Tlath = x 12,
  • Ulath = x 7,
  • h =


6V Cube Dome


Geodesic 6V Cube Dome (front view)

Geodesic 6V Cube Dome (bird view)
  • vertices/connectors: 235
    • 2 x 3-way
    • 36 x 4-way
    • 197 x 6-way

  • 6V Cube Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 28: 0.14523 (4.16°)
    • B x 24: 0.15547 (4.46°)
    • C x 28: 0.16126 (4.62°)
    • D x 24: 0.16153 (4.63°)
    • E x 24: 0.16348 (4.69°)
    • F x 24: 0.16630 (4.77°)
    • G x 24: 0.16695 (4.79°)
    • H x 24: 0.16766 (4.81°)
    • I x 28: 0.17066 (4.90°)
    • J x 24: 0.17291 (4.96°)
    • K x 14: 0.17475 (5.01°)
    • L x 48: 0.17945 (5.15°)
    • M x 24: 0.18094 (5.19°)
    • N x 24: 0.18189 (5.22°)
    • O x 24: 0.18285 (5.25°)
    • P x 24: 0.18335 (5.26°)
    • Q x 24: 0.18806 (5.40°)
    • R x 24: 0.18829 (5.40°)
    • S x 24: 0.19379 (5.56°)
    • T x 12: 0.20485 (5.88°)
    • U x 14: 0.20865 (5.99°)
    • V x 24: 0.20898 (6.00°)
    • W x 24: 0.21479 (6.17°)
    • X x 24: 0.21657 (6.22°)
    • Y x 24: 0.22440 (6.44°)
    • Z x 12: 0.22766 (6.54°)
    • AA x 14: 0.23096 (6.63°)
    • AB x 24: 0.23140 (6.64°)
    • AC x 12: 0.23682 (6.80°)
    • total 666 struts (29 kinds)1)
    • strut variance 63.1%
  • faces: 432 (3-sided)
    • A-A-T x 12 (45.12°, 45.12°, 89.75°)
    • A-D-K x 24 (50.99°, 59.80°, 69.21°)
    • AA-O-Q x 24 (77.00°, 50.49°, 52.51°)
    • AB-M-N x 24 (79.26°, 50.18°, 50.56°)
    • AB-P-R x 24 (76.99°, 50.55°, 52.45°)
    • AC-Q-Q x 12 (78.02°, 50.99°, 50.99°)
    • AC-R-R x 12 (77.92°, 51.04°, 51.04°)
    • B-B-T x 12 (48.79°, 48.79°, 82.42°)
    • B-C-W x 24 (46.18°, 48.46°, 85.36°)
    • C-G-S x 24 (52.48°, 55.16°, 72.36°)
    • D-F-S x 24 (52.62°, 54.91°, 72.47°)
    • E-I-X x 24 (48.17°, 51.07°, 80.77°)
    • E-J-W x 24 (48.41°, 52.28°, 79.31°)
    • F-L-U x 24 (50.05°, 55.79°, 74.16°)
    • G-L-V x 24 (50.19°, 55.66°, 74.15°)
    • H-I-V x 24 (51.21°, 52.51°, 76.28°)
    • H-N-X x 24 (48.82°, 54.73°, 76.45°)
    • J-J-Z x 12 (48.82°, 48.82°, 82.37°)
    • L-O-Y x 24 (51.03°, 52.43°, 76.53°)
    • L-P-Y x 24 (50.99°, 52.60°, 76.41°)
    • M-M-Z x 12 (51.00°, 51.00°, 78.00°)
    • 21 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 Cube Dome Calculator


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

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

  • Alath = x 28,
  • Blath = x 24,
  • Clath = x 28,
  • Dlath = x 24,
  • Elath = x 24,
  • Flath = x 24,
  • Glath = x 24,
  • Hlath = x 24,
  • Ilath = x 28,
  • Jlath = x 24,
  • Klath = x 14,
  • Llath = x 48,
  • Mlath = x 24,
  • Nlath = x 24,
  • Olath = x 24,
  • Plath = x 24,
  • Qlath = x 24,
  • Rlath = x 24,
  • Slath = x 24,
  • Tlath = x 12,
  • Ulath = x 14,
  • Vlath = x 24,
  • Wlath = x 24,
  • Xlath = x 24,
  • Ylath = x 24,
  • Zlath = x 12,
  • AAlath = x 14,
  • ABlath = x 24,
  • AClath = x 12,
  • h =


2V.3V Cube Dome


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

Geodesic 2V.3V Cube Dome (bird view)
  • vertices/connectors: 235
    • 2 x 3-way
    • 36 x 4-way
    • 197 x 6-way

  • 2V.3V Cube Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 56: 0.15768 (4.52°)
    • B x 28: 0.16179 (4.64°)
    • C x 24: 0.16188 (4.64°)
    • D x 24: 0.16198 (4.65°)
    • E x 24: 0.16341 (4.69°)
    • F x 24: 0.16345 (4.69°)
    • G x 24: 0.16505 (4.73°)
    • H x 24: 0.16580 (4.76°)
    • I x 48: 0.17771 (5.10°)
    • J x 24: 0.18291 (5.25°)
    • K x 24: 0.18312 (5.25°)
    • L x 24: 0.18365 (5.27°)
    • M x 24: 0.18424 (5.29°)
    • N x 24: 0.18444 (5.29°)
    • O x 24: 0.18608 (5.34°)
    • P x 24: 0.18737 (5.38°)
    • Q x 28: 0.20184 (5.79°)
    • R x 24: 0.20777 (5.96°)
    • S x 24: 0.20826 (5.98°)
    • T x 24: 0.20976 (6.02°)
    • U x 14: 0.21071 (6.05°)
    • V x 24: 0.21657 (6.22°)
    • W x 12: 0.22230 (6.38°)
    • X x 24: 0.22371 (6.42°)
    • Y x 12: 0.22389 (6.43°)
    • Z x 24: 0.22533 (6.47°)
    • AA x 12: 0.22766 (6.54°)
    • total 666 struts (27 kinds)1)
    • strut variance 44.4%
  • faces: 432 (3-sided)
    • A-A-W x 12 (45.19°, 45.19°, 89.63°)
    • A-D-V x 24 (46.52°, 48.19°, 85.29°)
    • A-I-R x 24 (47.51°, 56.19°, 76.31°)
    • A-K-Q x 24 (48.07°, 59.75°, 72.18°)
    • AA-H-H x 12 (86.73°, 46.63°, 46.63°)
    • AA-P-P x 12 (74.82°, 52.59°, 52.59°)
    • B-C-X x 24 (46.27°, 46.30°, 87.43°)
    • B-J-S x 24 (48.33°, 57.60°, 74.07°)
    • C-C-W x 12 (46.64°, 46.64°, 86.71°)
    • D-H-X x 24 (46.26°, 47.68°, 86.06°)
    • E-J-R x 24 (48.94°, 57.56°, 73.51°)
    • E-L-T x 24 (48.51°, 57.37°, 74.12°)
    • F-I-Q x 24 (50.55°, 57.06°, 72.38°)
    • F-O-T x 24 (48.33°, 58.24°, 73.44°)
    • G-K-S x 24 (49.38°, 57.34°, 73.28°)
    • G-O-U x 24 (48.69°, 57.85°, 73.46°)
    • I-I-Y x 12 (50.95°, 50.95°, 78.10°)
    • I-N-V x 24 (51.85°, 54.69°, 73.45°)
    • L-M-Z x 24 (52.14°, 52.34°, 75.53°)
    • M-M-Y x 12 (52.57°, 52.57°, 74.86°)
    • N-P-Z x 24 (52.10°, 53.31°, 74.59°)
    • 21 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 Cube Dome Calculator


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

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

  • Alath = x 56,
  • Blath = x 28,
  • Clath = x 24,
  • Dlath = x 24,
  • Elath = x 24,
  • Flath = x 24,
  • Glath = x 24,
  • Hlath = x 24,
  • Ilath = x 48,
  • Jlath = x 24,
  • Klath = x 24,
  • Llath = x 24,
  • Mlath = x 24,
  • Nlath = x 24,
  • Olath = x 24,
  • Plath = x 24,
  • Qlath = x 28,
  • Rlath = x 24,
  • Slath = x 24,
  • Tlath = x 24,
  • Ulath = x 14,
  • Vlath = x 24,
  • Wlath = x 12,
  • Xlath = x 24,
  • Ylath = x 12,
  • Zlath = x 24,
  • AAlath = x 12,
  • h =


3V.2V Cube Dome


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

Geodesic 3V.2V Cube Dome (bird view)
  • vertices/connectors: 235
    • 2 x 3-way
    • 36 x 4-way
    • 197 x 6-way

  • 3V.2V Cube Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 56: 0.15325 (4.39°)
    • B x 24: 0.15508 (4.45°)
    • C x 24: 0.15535 (4.45°)
    • D x 28: 0.17066 (4.90°)
    • E x 48: 0.17221 (4.94°)
    • F x 72: 0.17320 (4.97°)
    • G x 48: 0.17469 (5.01°)
    • H x 24: 0.17506 (5.02°)
    • I x 24: 0.17606 (5.05°)
    • J x 48: 0.18557 (5.32°)
    • K x 24: 0.18823 (5.40°)
    • L x 24: 0.18867 (5.41°)
    • M x 28: 0.19171 (5.50°)
    • N x 24: 0.19338 (5.55°)
    • O x 24: 0.21479 (6.17°)
    • P x 12: 0.21609 (6.20°)
    • Q x 12: 0.21676 (6.22°)
    • R x 48: 0.22019 (6.32°)
    • S x 24: 0.22212 (6.38°)
    • T x 24: 0.22243 (6.39°)
    • U x 14: 0.23096 (6.63°)
    • V x 12: 0.23343 (6.70°)
    • total 666 struts (22 kinds)1)
    • strut variance 52.3%
  • faces: 432 (3-sided)
    • A-A-P x 12 (45.15°, 45.15°, 89.71°)
    • A-B-O x 24 (45.47°, 46.20°, 88.33°)
    • A-F-N x 24 (49.02°, 58.60°, 72.38°)
    • A-H-M x 24 (49.12°, 59.79°, 71.10°)
    • B-B-P x 12 (45.84°, 45.84°, 88.32°)
    • C-F-M x 24 (50.06°, 58.77°, 71.17°)
    • C-H-N x 24 (49.55°, 59.09°, 71.37°)
    • D-E-S x 24 (49.34°, 49.93°, 80.74°)
    • D-G-R x 24 (49.60°, 51.20°, 79.21°)
    • E-E-Q x 12 (50.99°, 50.99°, 78.03°)
    • E-F-R x 24 (50.19°, 50.59°, 79.21°)
    • E-G-O x 24 (51.22°, 52.27°, 76.51°)
    • F-G-S x 24 (50.03°, 50.63°, 79.34°)
    • F-J-T x 24 (49.23°, 54.25°, 76.52°)
    • F-K-R x 24 (49.43°, 55.62°, 74.95°)
    • G-G-Q x 12 (51.65°, 51.65°, 76.70°)
    • I-J-R x 24 (50.56°, 54.49°, 74.95°)
    • I-K-T x 24 (49.95°, 54.89°, 75.17°)
    • J-J-V x 12 (51.04°, 51.04°, 77.92°)
    • J-L-U x 24 (51.29°, 52.50°, 76.21°)
    • L-L-V x 12 (51.80°, 51.80°, 76.40°)
    • 21 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 Cube Dome Calculator


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

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

  • Alath = x 56,
  • Blath = x 24,
  • Clath = x 24,
  • Dlath = x 28,
  • Elath = x 48,
  • Flath = x 72,
  • Glath = x 48,
  • Hlath = x 24,
  • Ilath = x 24,
  • Jlath = x 48,
  • Klath = x 24,
  • Llath = x 24,
  • Mlath = x 28,
  • Nlath = x 24,
  • Olath = x 24,
  • Plath = x 12,
  • Qlath = x 12,
  • Rlath = x 48,
  • Slath = x 24,
  • Tlath = x 24,
  • Ulath = x 14,
  • Vlath = x 12,
  • h =


7V Cube Dome


Geodesic 7V Cube Dome (front view)

Geodesic 7V Cube Dome (bird view)
  • vertices/connectors: 316
    • 2 x 3-way
    • 42 x 4-way
    • 272 x 6-way

  • 7V Cube Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 28: 0.12343 (3.54°)
    • B x 24: 0.13093 (3.75°)
    • C x 28: 0.13574 (3.89°)
    • D x 24: 0.13685 (3.92°)
    • E x 24: 0.13724 (3.93°)
    • F x 24: 0.13907 (3.99°)
    • G x 24: 0.14129 (4.05°)
    • H x 24: 0.14148 (4.06°)
    • I x 24: 0.14293 (4.10°)
    • J x 24: 0.14432 (4.14°)
    • K x 28: 0.14437 (4.14°)
    • L x 14: 0.14749 (4.23°)
    • M x 14: 0.14764 (4.23°)
    • N x 24: 0.15012 (4.30°)
    • O x 24: 0.15069 (4.32°)
    • P x 24: 0.15101 (4.33°)
    • Q x 24: 0.15272 (4.38°)
    • R x 24: 0.15313 (4.39°)
    • S x 24: 0.15455 (4.43°)
    • T x 24: 0.15467 (4.44°)
    • U x 24: 0.15525 (4.45°)
    • V x 24: 0.15929 (4.57°)
    • W x 24: 0.15968 (4.58°)
    • X x 24: 0.15992 (4.59°)
    • Y x 24: 0.16053 (4.60°)
    • Z x 24: 0.16165 (4.64°)
    • AA x 24: 0.16180 (4.64°)
    • AB x 14: 0.17323 (4.97°)
    • AC x 24: 0.17410 (4.99°)
    • AD x 12: 0.17422 (5.00°)
    • AE x 24: 0.18209 (5.22°)
    • AF x 24: 0.18242 (5.23°)
    • AG x 24: 0.18518 (5.31°)
    • AH x 24: 0.18614 (5.34°)
    • AI x 8: 0.19194 (5.51°)
    • AJ x 4: 0.19195 (5.51°)
    • AK x 14: 0.19327 (5.55°)
    • AL x 24: 0.19451 (5.58°)
    • AM x 24: 0.19653 (5.64°)
    • AN x 7: 0.20101 (5.77°)
    • AO x 24: 0.20124 (5.77°)
    • AP x 12: 0.20240 (5.81°)
    • total 903 struts (42 kinds)1)
    • strut variance 64.0%
  • faces: 588 (3-sided)
    • A-A-AD x 12 (45.10°, 45.10°, 89.79°)
    • A-D-M x 24 (51.26°, 59.85°, 68.90°)
    • AA-C-G x 24 (71.45°, 52.67°, 55.89°)
    • AA-D-F x 24 (71.80°, 53.44°, 54.76°)
    • AB-F-O x 24 (73.28°, 50.28°, 56.44°)
    • AC-G-N x 24 (73.31°, 51.02°, 55.67°)
    • AC-I-K x 24 (74.60°, 52.31°, 53.09°)
    • AD-B-B x 12 (83.43°, 48.29°, 48.29°)
    • AE-B-C x 24 (86.14°, 45.82°, 48.03°)
    • AE-E-J x 24 (80.57°, 48.01°, 51.42°)
    • AF-H-L x 24 (78.24°, 49.42°, 52.34°)
    • AF-I-U x 24 (75.32°, 49.28°, 55.40°)
    • AG-E-K x 24 (82.20°, 47.22°, 50.58°)
    • AG-H-R x 24 (77.79°, 48.31°, 53.90°)
    • AH-N-S x 24 (75.30°, 51.28°, 53.42°)
    • AH-O-Q x 24 (75.67°, 51.68°, 52.65°)
    • AI-J-J x 8 (83.35°, 48.32°, 48.32°)
    • AI-P-P x 8 (78.90°, 50.55°, 50.55°)
    • AJ-J-J x 4 (83.41°, 48.30°, 48.30°)
    • AJ-P-P x 4 (78.95°, 50.52°, 50.52°)
    • AK-Q-W x 24 (76.41°, 50.16°, 53.42°)
    • AL-S-X x 24 (76.41°, 50.54°, 53.04°)
    • AL-T-U x 24 (77.75°, 51.01°, 51.24°)
    • AM-P-R x 24 (80.50°, 49.28°, 50.22°)
    • AM-T-V x 24 (77.47°, 50.22°, 52.31°)
    • AN-Y-Y x 12 (77.54°, 51.23°, 51.23°)
    • AO-W-Y x 24 (77.86°, 50.89°, 51.25°)
    • AO-X-Z x 24 (77.48°, 50.88°, 51.64°)
    • AP-V-V x 12 (78.88°, 50.56°, 50.56°)
    • AP-Z-Z x 12 (77.55°, 51.23°, 51.23°)
    • 30 kinds of faces2)
  • diameter: 2.000, radius: 1.000
  • height: 0.995 or 49.75% 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

7V Cube Dome Calculator


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

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

  • Alath = x 28,
  • Blath = x 24,
  • Clath = x 28,
  • Dlath = x 24,
  • Elath = x 24,
  • Flath = x 24,
  • Glath = x 24,
  • Hlath = x 24,
  • Ilath = x 24,
  • Jlath = x 24,
  • Klath = x 28,
  • Llath = x 14,
  • Mlath = x 14,
  • Nlath = x 24,
  • Olath = x 24,
  • Plath = x 24,
  • Qlath = x 24,
  • Rlath = x 24,
  • Slath = x 24,
  • Tlath = x 24,
  • Ulath = x 24,
  • Vlath = x 24,
  • Wlath = x 24,
  • Xlath = x 24,
  • Ylath = x 24,
  • Zlath = x 24,
  • AAlath = x 24,
  • ABlath = x 14,
  • AClath = x 24,
  • ADlath = x 12,
  • AElath = x 24,
  • AFlath = x 24,
  • AGlath = x 24,
  • AHlath = x 24,
  • AIlath = x 8,
  • AJlath = x 4,
  • AKlath = x 14,
  • ALlath = x 24,
  • AMlath = x 24,
  • ANlath = x 7,
  • AOlath = x 24,
  • APlath = x 12,
  • h =



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