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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 Octahedron Dome


Geodesic 5V Octahedron Dome (front view)

Geodesic 5V Octahedron Dome (bird view)
  • vertices/connectors: 61
    • 4 x 3-way
    • 17 x 4-way
    • 40 x 6-way

  • 5V Octahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 16: 0.24437 (7.02°)
    • B x 24: 0.31415 (9.04°)
    • C x 16: 0.34134 (9.83°)
    • D x 12: 0.34300 (9.88°)
    • E x 24: 0.38859 (11.20°)
    • F x 8: 0.39223 (11.31°)
    • G x 24: 0.40033 (11.55°)
    • H x 24: 0.43696 (12.62°)
    • I x 12: 0.47140 (13.63°)
    • total 160 struts (9 kinds)1)
    • strut variance 92.9%
  • faces: 100 (3-sided)
    • A-A-D x 12 (45.43°, 45.43°, 89.13°)
    • B-B-D x 12 (56.91°, 56.91°, 66.19°)
    • B-C-G x 24 (49.33°, 55.51°, 75.16°)
    • E-E-F x 12 (59.69°, 59.69°, 60.61°)
    • E-G-H x 24 (55.09°, 57.65°, 67.26°)
    • H-H-I x 12 (57.36°, 57.36°, 65.28°)
    • I-I-I x 4 (60.00°, 60.00°, 60.00°)
    • 7 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 Octahedron Dome Calculator


Geodesic 5V 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 12,
  • Elath = x 24,
  • Flath = x 8,
  • Glath = x 24,
  • Hlath = x 24,
  • Ilath = x 12,
  • h =


6V Octahedron Dome


Geodesic 6V Octahedron Dome (front view)

Geodesic 6V Octahedron Dome (bird view)
  • vertices/connectors: 85
    • 4 x 3-way
    • 21 x 4-way
    • 60 x 6-way

  • 6V Octahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 16: 0.19708 (5.66°)
    • B x 24: 0.24197 (6.95°)
    • C x 16: 0.26547 (7.63°)
    • D x 12: 0.27735 (7.97°)
    • E x 24: 0.29603 (8.51°)
    • F x 40: 0.32036 (9.22°)
    • G x 48: 0.33193 (9.55°)
    • H x 24: 0.37796 (10.89°)
    • I x 24: 0.38518 (11.10°)
    • total 228 struts (9 kinds)1)
    • strut variance 95.4%
  • faces: 144 (3-sided)
    • A-A-D x 12 (45.30°, 45.30°, 89.41°)
    • B-B-D x 12 (55.04°, 55.04°, 69.91°)
    • B-C-F x 24 (47.66°, 54.19°, 78.15°)
    • E-F-G x 48 (53.94°, 61.05°, 65.02°)
    • G-G-H x 24 (55.29°, 55.29°, 69.42°)
    • H-I-I x 24 (58.77°, 60.62°, 60.62°)
    • 6 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 Octahedron Dome Calculator


Geodesic 6V 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 12,
  • Elath = x 24,
  • Flath = x 40,
  • Glath = x 48,
  • Hlath = x 24,
  • Ilath = x 24,
  • h =


2V.3V Octahedron Dome


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

Geodesic 2V.3V Octahedron Dome (bird view)
  • vertices/connectors: 85
    • 4 x 3-way
    • 21 x 4-way
    • 60 x 6-way

  • 2V.3V Octahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 32: 0.25480 (7.32°)
    • B x 16: 0.27355 (7.86°)
    • C x 24: 0.27468 (7.89°)
    • D x 24: 0.27569 (7.92°)
    • E x 24: 0.29082 (8.36°)
    • F x 24: 0.33193 (9.55°)
    • G x 12: 0.35741 (10.29°)
    • H x 24: 0.36346 (10.47°)
    • I x 24: 0.37796 (10.89°)
    • J x 24: 0.38518 (11.10°)
    • total 228 struts (10 kinds)1)
    • strut variance 51.2%
  • faces: 144 (3-sided)
    • A-A-G x 12 (45.47°, 45.47°, 89.07°)
    • A-D-F x 24 (48.51°, 54.14°, 77.35°)
    • B-C-H x 24 (48.34°, 48.60°, 83.05°)
    • C-C-G x 12 (49.42°, 49.42°, 81.16°)
    • D-E-H x 24 (48.28°, 51.94°, 79.78°)
    • E-E-I x 12 (49.46°, 49.46°, 81.07°)
    • F-F-I x 12 (55.29°, 55.29°, 69.42°)
    • I-J-J x 24 (58.77°, 60.62°, 60.62°)
    • 8 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 Octahedron Dome Calculator


Geodesic 2V.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 24,
  • Glath = x 12,
  • Hlath = x 24,
  • Ilath = x 24,
  • Jlath = x 24,
  • h =


3V.2V Octahedron Dome


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

Geodesic 3V.2V Octahedron Dome (bird view)
  • vertices/connectors: 85
    • 4 x 3-way
    • 21 x 4-way
    • 60 x 6-way

  • 3V.2V Octahedron Dome Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 32: 0.23131 (6.64°)
    • B x 24: 0.23773 (6.83°)
    • C x 40: 0.32036 (9.22°)
    • D x 12: 0.32492 (9.35°)
    • E x 24: 0.33571 (9.66°)
    • F x 48: 0.34069 (9.81°)
    • G x 48: 0.35506 (10.23°)
    • total 228 struts (7 kinds)1)
    • strut variance 53.5%
  • faces: 144 (3-sided)
    • A-A-D x 12 (45.39°, 45.39°, 89.23°)
    • A-B-C x 24 (46.08°, 47.75°, 86.17°)
    • B-B-D x 12 (46.89°, 46.89°, 86.22°)
    • C-F-G x 48 (54.79°, 60.32°, 64.89°)
    • E-F-F x 24 (59.03°, 60.48°, 60.48°)
    • E-G-G x 24 (56.42°, 61.79°, 61.79°)
    • 6 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 Octahedron Dome Calculator


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

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

  • Alath = x 32,
  • Blath = x 24,
  • Clath = x 40,
  • Dlath = x 12,
  • Elath = x 24,
  • Flath = x 48,
  • Glath = x 48,
  • h =



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