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Triangulated Bow Dome

written by Rene K. Mueller, Copyright (c) 2007, last updated Sat, October 6, 2007

T. Bow Dome 0/0/6


Triangulated Bow Dome 0°/0°/6 (front view)

Triangulated Bow Dome 0°/0°/6 (bird view)

Triangulated Bow Dome 0°/0°/6 (top view)
  • vertices/connectors: 19
    • 6 x 4-way
    • 6 x 5-way
    • 7 x 6-way

  • Triangulated Bow Dome 0°/0°/6 Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 6: 0.52593 (15.25°)
    • B x 6: 0.54079 (15.69°)
    • C x 12: 0.60464 (17.60°)
    • D x 12: 0.72572 (21.28°)
    • E x 6: 0.87407 (25.91°)
    • F x 6: 1.00000 (30.00°)
    • total 48 struts (6 kinds)1)
    • strut variance 90.2%
  • faces: 30 (3-sided)
    • A-B-B x 6 (58.19°, 60.91°, 60.91°)
    • A-C-C x 6 (51.56°, 64.22°, 64.22°)
    • C-C-E x 6 (43.71°, 43.71°, 92.58°)
    • D-D-E x 6 (52.97°, 52.97°, 74.06°)
    • D-D-F x 6 (46.45°, 46.45°, 87.10°)
    • 5 kinds of faces2)
  • diameter: 2.040, radius: 1.020
  • height: 1.000 or 49.01% 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

T. Bow Dome 0/0/8


Triangulated Bow Dome 0°/0°/8 (front view)

Triangulated Bow Dome 0°/0°/8 (bird view)

Triangulated Bow Dome 0°/0°/8 (top view)
  • vertices/connectors: 29
    • 9 x 4-way
    • 4 x 5-way
    • 16 x 6-way

  • Triangulated Bow Dome 0°/0°/8 Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 4: 0.37534 (10.82°)
    • B x 4: 0.41564 (11.99°)
    • C x 16: 0.49328 (14.28°)
    • D x 8: 0.55489 (16.11°)
    • E x 16: 0.56040 (16.27°)
    • F x 8: 0.56102 (16.29°)
    • G x 4: 0.57894 (16.83°)
    • H x 8: 0.71036 (20.80°)
    • I x 8: 0.76537 (22.50°)
    • total 76 struts (9 kinds)1)
    • strut variance 103.9%
  • faces: 48 (3-sided)
    • A-D-F x 8 (39.30°, 69.47°, 71.23°)
    • B-B-G x 4 (45.86°, 45.86°, 88.29°)
    • C-C-D x 8 (55.78°, 55.78°, 68.45°)
    • C-C-H x 8 (43.94°, 43.94°, 92.12°)
    • E-E-H x 8 (50.67°, 50.67°, 78.67°)
    • E-E-I x 8 (46.93°, 46.93°, 86.14°)
    • F-F-G x 4 (58.94°, 58.94°, 62.12°)
    • 7 kinds of faces2)
  • diameter: 2.051, radius: 1.025
  • height: 1.000 or 48.77% 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

T. Bow Dome 0/0/10


Triangulated Bow Dome 0°/0°/10 (front view)

Triangulated Bow Dome 0°/0°/10 (bird view)

Triangulated Bow Dome 0°/0°/10 (top view)
  • vertices/connectors: 46
    • 10 x 4-way
    • 6 x 5-way
    • 30 x 6-way

  • Triangulated Bow Dome 0°/0°/10 Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 5: 0.30701 (8.83°)
    • B x 5: 0.33760 (9.72°)
    • C x 20: 0.37010 (10.66°)
    • D x 10: 0.37774 (10.89°)
    • E x 5: 0.39311 (11.34°)
    • F x 20: 0.41337 (11.93°)
    • G x 10: 0.41512 (11.98°)
    • H x 20: 0.45533 (13.16°)
    • I x 10: 0.50728 (14.69°)
    • J x 10: 0.58936 (17.14°)
    • K x 10: 0.61803 (18.00°)
    • total 125 struts (11 kinds)1)
    • strut variance 101.3%
  • faces: 80 (3-sided)
    • A-D-G x 10 (45.26°, 60.91°, 73.83°)
    • B-B-E x 5 (54.39°, 54.39°, 71.21°)
    • C-C-D x 10 (59.32°, 59.32°, 61.36°)
    • C-C-I x 10 (46.74°, 46.74°, 86.53°)
    • E-G-G x 5 (56.52°, 61.74°, 61.74°)
    • F-F-I x 10 (52.15°, 52.15°, 75.70°)
    • F-F-J x 10 (44.53°, 44.53°, 90.94°)
    • H-H-J x 10 (49.66°, 49.66°, 80.67°)
    • H-H-K x 10 (47.26°, 47.26°, 85.48°)
    • 9 kinds of faces2)
  • diameter: 2.047, radius: 1.023
  • height: 1.000 or 48.86% 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

T. Bow Dome 0/0/12


Triangulated Bow Dome 0°/0°/12 (front view)

Triangulated Bow Dome 0°/0°/12 (bird view)

Triangulated Bow Dome 0°/0°/12 (top view)
  • vertices/connectors: 67
    • 12 x 4-way
    • 6 x 5-way
    • 49 x 6-way

  • Triangulated Bow Dome 0°/0°/12 Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 6: 0.26086 (7.49°)
    • B x 12: 0.27224 (7.82°)
    • C x 6: 0.28241 (8.12°)
    • D x 6: 0.28426 (8.17°)
    • E x 24: 0.29638 (8.52°)
    • F x 24: 0.32410 (9.33°)
    • G x 12: 0.32840 (9.45°)
    • H x 24: 0.35452 (10.21°)
    • I x 12: 0.37529 (10.82°)
    • J x 24: 0.38307 (11.04°)
    • K x 12: 0.45245 (13.07°)
    • L x 12: 0.50086 (14.50°)
    • M x 12: 0.51764 (15.00°)
    • total 186 struts (13 kinds)1)
    • strut variance 98.4%
  • faces: 120 (3-sided)
    • A-B-G x 12 (50.44°, 53.54°, 76.02°)
    • B-E-E x 12 (54.67°, 62.67°, 62.67°)
    • C-D-D x 6 (59.56°, 60.22°, 60.22°)
    • C-G-G x 6 (50.93°, 64.53°, 64.53°)
    • E-E-I x 12 (50.72°, 50.72°, 78.56°)
    • F-F-I x 12 (54.62°, 54.62°, 70.76°)
    • F-F-K x 12 (45.73°, 45.73°, 88.55°)
    • H-H-K x 12 (50.34°, 50.34°, 79.32°)
    • H-H-L x 12 (45.05°, 45.05°, 89.90°)
    • J-J-L x 12 (49.18°, 49.18°, 81.65°)
    • J-J-M x 12 (47.50°, 47.50°, 84.99°)
    • 11 kinds of faces2)
  • diameter: 2.051, radius: 1.025
  • height: 1.000 or 48.77% 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

T. Bow Dome 0/0/16


Triangulated Bow Dome 0°/0°/16 (front view)

Triangulated Bow Dome 0°/0°/16 (bird view)

Triangulated Bow Dome 0°/0°/16 (top view)
  • vertices/connectors: 109
    • 17 x 4-way
    • 8 x 5-way
    • 80 x 6-way
    • 4 x 7-way

  • Triangulated Bow Dome 0°/0°/16 Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 8: 0.19129 (5.49°)
    • B x 4: 0.20138 (5.78°)
    • C x 4: 0.21602 (6.20°)
    • D x 32: 0.22540 (6.47°)
    • E x 16: 0.22634 (6.50°)
    • F x 32: 0.24103 (6.92°)
    • G x 32: 0.25810 (7.41°)
    • H x 16: 0.26971 (7.75°)
    • I x 32: 0.27489 (7.90°)
    • J x 16: 0.28288 (8.13°)
    • K x 32: 0.29049 (8.35°)
    • L x 8: 0.30359 (8.73°)
    • M x 4: 0.30439 (8.75°)
    • N x 8: 0.31332 (9.01°)
    • O x 16: 0.32845 (9.45°)
    • P x 16: 0.36214 (10.43°)
    • Q x 16: 0.38302 (11.04°)
    • R x 16: 0.39018 (11.25°)
    • total 308 struts (18 kinds)1)
    • strut variance 104.0%
  • faces: 200 (3-sided)
    • A-E-H x 16 (44.31°, 55.72°, 79.98°)
    • B-L-N x 8 (38.07°, 68.36°, 73.58°)
    • C-C-M x 4 (45.20°, 45.20°, 89.60°)
    • D-D-E x 16 (59.87°, 59.87°, 60.26°)
    • D-D-J x 16 (51.13°, 51.13°, 77.74°)
    • F-F-J x 16 (54.06°, 54.06°, 71.88°)
    • F-F-O x 16 (47.04°, 47.04°, 85.93°)
    • G-G-O x 16 (50.48°, 50.48°, 79.05°)
    • G-G-P x 16 (45.45°, 45.45°, 89.09°)
    • H-H-N x 8 (54.49°, 54.49°, 71.02°)
    • I-I-P x 16 (48.81°, 48.81°, 82.39°)
    • I-I-Q x 16 (45.84°, 45.84°, 88.31°)
    • K-K-Q x 16 (48.76°, 48.76°, 82.48°)
    • K-K-R x 16 (47.81°, 47.81°, 84.38°)
    • L-L-M x 4 (59.91°, 59.91°, 60.17°)
    • 15 kinds of faces2)
  • diameter: 2.051, radius: 1.025
  • height: 1.000 or 48.77% 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

T. Bow Dome 0/0/20


Triangulated Bow Dome 0°/0°/20 (front view)

Triangulated Bow Dome 0°/0°/20 (bird view)

Triangulated Bow Dome 0°/0°/20 (top view)
  • vertices/connectors: 166
    • 20 x 4-way
    • 16 x 5-way
    • 120 x 6-way
    • 10 x 7-way

  • Triangulated Bow Dome 0°/0°/20 Construction Map
  • edges/struts & bending angles (αstrut):
    • A x 10: 0.15141 (4.34°)
    • B x 5: 0.16428 (4.71°)
    • C x 5: 0.17420 (5.00°)
    • D x 40: 0.18177 (5.21°)
    • E x 20: 0.19123 (5.49°)
    • F x 40: 0.19178 (5.50°)
    • G x 20: 0.20066 (5.76°)
    • H x 40: 0.20264 (5.82°)
    • I x 5: 0.20431 (5.86°)
    • J x 10: 0.20667 (5.93°)
    • K x 40: 0.21355 (6.13°)
    • L x 10: 0.22179 (6.37°)
    • M x 40: 0.22404 (6.43°)
    • N x 20: 0.22683 (6.51°)
    • O x 20: 0.22733 (6.53°)
    • P x 40: 0.23383 (6.71°)
    • Q x 20: 0.25680 (7.38°)
    • R x 20: 0.28077 (8.07°)
    • S x 10: 0.29703 (8.54°)
    • T x 20: 0.29835 (8.58°)
    • U x 20: 0.30918 (8.89°)
    • V x 20: 0.31287 (9.00°)
    • total 475 struts (22 kinds)1)
    • strut variance 106.7%
  • faces: 310 (3-sided)
    • A-E-O x 20 (41.30°, 56.46°, 82.24°)
    • B-J-L x 10 (44.92°, 62.67°, 72.41°)
    • C-C-I x 5 (54.10°, 54.10°, 71.80°)
    • D-D-E x 20 (58.27°, 58.27°, 63.45°)
    • D-D-N x 20 (51.41°, 51.41°, 77.18°)
    • F-F-N x 20 (53.75°, 53.75°, 72.49°)
    • F-F-Q x 20 (47.98°, 47.98°, 84.05°)
    • G-G-J x 10 (59.01°, 59.01°, 61.99°)
    • G-G-S x 10 (42.28°, 42.28°, 95.45°)
    • H-H-Q x 20 (50.67°, 50.67°, 78.66°)
    • H-H-R x 20 (46.13°, 46.13°, 87.73°)
    • I-L-L x 5 (54.85°, 62.58°, 62.58°)
    • K-K-R x 20 (48.88°, 48.88°, 82.24°)
    • K-K-T x 20 (45.67°, 45.67°, 88.67°)
    • M-M-T x 20 (48.24°, 48.24°, 83.53°)
    • M-M-U x 20 (46.36°, 46.36°, 87.29°)
    • O-O-S x 10 (49.21°, 49.21°, 81.59°)
    • P-P-U x 20 (48.60°, 48.60°, 82.79°)
    • P-P-V x 20 (48.00°, 48.00°, 84.00°)
    • 19 kinds of faces2)
  • diameter: 2.051, radius: 1.025
  • height: 1.000 or 48.77% 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


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