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# Geodesic Dome Notes & Calculator

written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019

### 7V 10/21 Icosahedron Dome

 Geodesic 7V 10/21 Icosahedron Dome (front view)
 Geodesic 7V 10/21 Icosahedron Dome (bird view)
• vertices/connectors: 246
• 35 x 4-way
• 6 x 5-way
• 205 x 6-way
•  7V 10/21 Icosahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 30: 0.13774 (3.95°)
• B x 60: 0.15197 (4.36°)
• C x 30: 0.15664 (4.49°)
• D x 30: 0.16154 (4.63°)
• E x 60: 0.16480 (4.73°)
• F x 30: 0.17066 (4.90°)
• G x 60: 0.17098 (4.90°)
• H x 60: 0.17132 (4.91°)
• I x 50: 0.17353 (4.98°)
• J x 70: 0.17585 (5.04°)
• K x 50: 0.18155 (5.21°)
• L x 30: 0.18161 (5.21°)
• M x 50: 0.18237 (5.23°)
• N x 60: 0.18548 (5.32°)
• O x 30: 0.18791 (5.39°)
• total 700 struts (15 kinds)1)
• strut variance 36.5%
• faces: 455 (3-sided)
• A-A-D x 30 (54.10°, 54.10°, 71.81°)
• B-B-D x 30 (57.91°, 57.91°, 64.18°)
• B-C-H x 60 (55.01°, 57.57°, 67.41°)
• E-F-J x 60 (56.76°, 60.03°, 63.21°)
• E-G-H x 60 (57.56°, 61.13°, 61.31°)
• G-G-L x 30 (57.93°, 57.93°, 64.15°)
• I-I-J x 20 (59.54°, 59.54°, 60.92°)
• I-J-M x 50 (57.89°, 59.18°, 62.93°)
• K-K-L x 25 (59.98°, 59.98°, 60.04°)
• K-M-N x 50 (59.11°, 59.59°, 61.29°)
• N-N-O x 30 (59.57°, 59.57°, 60.86°)
• O-O-O x 10 (60.00°, 60.00°, 60.00°)
• 12 kinds of faces2)
• height: 0.925 or 46.26% 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 10/21 Icosahedron Dome Calculator

 Geodesic 7V 10/21 Icosahedron Dome (Human is 170cm/5'7")

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

• Alath = x 30,
• Blath = x 60,
• Clath = x 30,
• Dlath = x 30,
• Elath = x 60,
• Flath = x 30,
• Glath = x 60,
• Hlath = x 60,
• Ilath = x 50,
• Jlath = x 70,
• Klath = x 50,
• Llath = x 30,
• Mlath = x 50,
• Nlath = x 60,
• Olath = x 30,
• h =

### 7V 11/21 Icosahedron Dome

 Geodesic 7V 11/21 Icosahedron Dome (front view)
 Geodesic 7V 11/21 Icosahedron Dome (bird view)
• vertices/connectors: 281
• 35 x 4-way
• 6 x 5-way
• 240 x 6-way
•  7V 11/21 Icosahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 30: 0.13774 (3.95°)
• B x 60: 0.15197 (4.36°)
• C x 30: 0.15664 (4.49°)
• D x 30: 0.16154 (4.63°)
• E x 60: 0.16480 (4.73°)
• F x 30: 0.17066 (4.90°)
• G x 60: 0.17098 (4.90°)
• H x 60: 0.17132 (4.91°)
• I x 80: 0.17353 (4.98°)
• J x 90: 0.17585 (5.04°)
• K x 70: 0.18155 (5.21°)
• L x 35: 0.18161 (5.21°)
• M x 70: 0.18237 (5.23°)
• N x 70: 0.18548 (5.32°)
• O x 30: 0.18791 (5.39°)
• total 805 struts (15 kinds)1)
• strut variance 36.5%
• faces: 525 (3-sided)
• A-A-D x 30 (54.10°, 54.10°, 71.81°)
• B-B-D x 30 (57.91°, 57.91°, 64.18°)
• B-C-H x 60 (55.01°, 57.57°, 67.41°)
• E-F-J x 60 (56.76°, 60.03°, 63.21°)
• E-G-H x 60 (57.56°, 61.13°, 61.31°)
• G-G-L x 30 (57.93°, 57.93°, 64.15°)
• I-I-J x 40 (59.54°, 59.54°, 60.92°)
• I-J-M x 70 (57.89°, 59.18°, 62.93°)
• K-K-L x 35 (59.98°, 59.98°, 60.04°)
• K-M-N x 70 (59.11°, 59.59°, 61.29°)
• N-N-O x 30 (59.57°, 59.57°, 60.86°)
• O-O-O x 10 (60.00°, 60.00°, 60.00°)
• 12 kinds of faces2)
• height: 1.080 or 54.00% 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

#### 7V 11/21 Icosahedron Dome Calculator

 Geodesic 7V 11/21 Icosahedron Dome (Human is 170cm/5'7")

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

• Alath = x 30,
• Blath = x 60,
• Clath = x 30,
• Dlath = x 30,
• Elath = x 60,
• Flath = x 30,
• Glath = x 60,
• Hlath = x 60,
• Ilath = x 80,
• Jlath = x 90,
• Klath = x 70,
• Llath = x 35,
• Mlath = x 70,
• Nlath = x 70,
• Olath = x 30,
• h =

### 8V Icosahedron Dome

 Geodesic 8V Icosahedron Dome (front view)
 Geodesic 8V Icosahedron Dome (bird view)
• vertices/connectors: 341
• 40 x 4-way
• 6 x 5-way
• 295 x 6-way
•  8V Icosahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 30: 0.11946 (3.42°)
• B x 60: 0.13033 (3.74°)
• C x 30: 0.13424 (3.85°)
• D x 30: 0.14018 (4.02°)
• E x 60: 0.14056 (4.03°)
• F x 60: 0.14548 (4.17°)
• G x 30: 0.14628 (4.19°)
• H x 60: 0.14803 (4.24°)
• I x 60: 0.14862 (4.26°)
• J x 60: 0.15267 (4.38°)
• K x 70: 0.15296 (4.39°)
• L x 30: 0.15315 (4.39°)
• M x 60: 0.15477 (4.44°)
• N x 90: 0.15636 (4.48°)
• O x 60: 0.16033 (4.60°)
• P x 30: 0.16036 (4.60°)
• Q x 70: 0.16088 (4.61°)
• R x 60: 0.16300 (4.67°)
• S x 30: 0.16465 (4.72°)
• total 980 struts (19 kinds)1)
• strut variance 37.7%
• faces: 640 (3-sided)
• A-A-D x 30 (54.08°, 54.08°, 71.83°)
• B-B-D x 30 (57.45°, 57.45°, 65.09°)
• B-C-H x 60 (54.73°, 57.24°, 68.03°)
• E-F-H x 60 (57.24°, 60.49°, 62.28°)
• E-G-J x 60 (56.05°, 59.67°, 64.28°)
• F-F-N x 30 (57.49°, 57.49°, 65.02°)
• I-J-N x 60 (57.45°, 60.02°, 62.52°)
• I-K-L x 60 (58.06°, 60.90°, 61.04°)
• K-K-P x 30 (58.39°, 58.39°, 63.23°)
• M-M-N x 30 (59.66°, 59.66°, 60.69°)
• M-N-Q x 60 (58.38°, 59.36°, 62.26°)
• O-O-P x 30 (59.98°, 59.98°, 60.04°)
• O-Q-R x 60 (59.32°, 59.69°, 60.99°)
• R-R-S x 30 (59.67°, 59.67°, 60.65°)
• S-S-S x 10 (60.00°, 60.00°, 60.00°)
• 15 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

#### 8V Icosahedron Dome Calculator

 Geodesic 8V Icosahedron Dome (Human is 170cm/5'7")

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

• Alath = x 30,
• Blath = x 60,
• Clath = x 30,
• Dlath = x 30,
• Elath = x 60,
• Flath = x 60,
• Glath = x 30,
• Hlath = x 60,
• Ilath = x 60,
• Jlath = x 60,
• Klath = x 70,
• Llath = x 30,
• Mlath = x 60,
• Nlath = x 90,
• Olath = x 60,
• Plath = x 30,
• Qlath = x 70,
• Rlath = x 60,
• Slath = x 30,
• h =

### L4 Icosahedron Dome

 Geodesic L4 Icosahedron Dome (front view)
 Geodesic L4 Icosahedron Dome (bird view)
• vertices/connectors: 341
• 40 x 4-way
• 6 x 5-way
• 295 x 6-way
•  L4 Icosahedron Dome Construction Map
• edges/struts & bending angles (αstrut):
• A x 120: 0.13828 (3.96°)
• B x 120: 0.13951 (4.00°)
• C x 120: 0.14310 (4.10°)
• D x 60: 0.14429 (4.14°)
• E x 60: 0.14439 (4.14°)
• F x 140: 0.15692 (4.50°)
• G x 60: 0.15800 (4.53°)
• H x 60: 0.15846 (4.54°)
• I x 60: 0.16115 (4.62°)
• J x 30: 0.16217 (4.65°)
• K x 30: 0.16228 (4.65°)
• L x 60: 0.16300 (4.67°)
• M x 30: 0.16448 (4.72°)
• N x 30: 0.16465 (4.72°)
• total 980 struts (14 kinds)1)
• strut variance 19.0%
• faces: 640 (3-sided)
• A-A-J x 30 (54.10°, 54.10°, 71.80°)
• A-B-I x 60 (54.21°, 54.90°, 70.89°)
• A-C-G x 60 (54.41°, 57.29°, 68.29°)
• A-D-F x 60 (54.47°, 58.12°, 67.41°)
• B-B-J x 30 (54.45°, 54.45°, 71.09°)
• B-C-F x 60 (55.19°, 57.38°, 67.44°)
• B-D-G x 60 (54.74°, 57.63°, 67.64°)
• C-C-K x 30 (55.45°, 55.45°, 69.09°)
• C-E-I x 60 (55.54°, 56.30°, 68.16°)
• E-E-K x 30 (55.81°, 55.81°, 68.39°)
• F-F-M x 30 (58.38°, 58.38°, 63.23°)
• F-H-L x 60 (58.40°, 59.36°, 62.23°)
• H-H-M x 30 (58.74°, 58.74°, 62.52°)
• L-L-N x 30 (59.67°, 59.67°, 60.65°)
• N-N-N x 10 (60.00°, 60.00°, 60.00°)
• 15 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

#### L4 Icosahedron Dome Calculator

 Geodesic L4 Icosahedron Dome (Human is 170cm/5'7")

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

• Alath = x 120,
• Blath = x 120,
• Clath = x 120,
• Dlath = x 60,
• Elath = x 60,
• Flath = x 140,
• Glath = x 60,
• Hlath = x 60,
• Ilath = x 60,
• Jlath = x 30,
• Klath = x 30,
• Llath = x 60,
• Mlath = x 30,
• Nlath = x 30,
• h =

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Creative Commons (CC) BY-SA-NC 2005-2017, developed, designed and written by René K. Müller
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