Dome
Geodesic Dome
Geodesic Dome Notes & Calculator
Geodesic Dome Diary
Geodesic Polyhedra
Polyhedra Notes
Bow Dome
Triangulated Bow Dome
Star Dome
Star Dome Diary
Wigwam
Zome
Helix Zome
Low Cost Dome (PVC)
Miscellaneous Domes


Site Search


Enter term & press ENTER


If you found the information useful, consider to make a donation:

Flattr this
USD, EUR, BTC


 

Page << Prev | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | Next >>

Geodesic Polyhedra

written by Rene K. Mueller, Copyright (c) 2007, last updated Sun, October 28, 2012

Geodesic Truncated Icosahedron

Truncated Icosahedron


Truncated Icosahedron
  • Uniform Polyhedron: U25
  • Archimedean Solid: A11
  • Wythoff symbol: 2 5|3
  • Symmetry Group: icosahedral
  • Vertex Configuration: {6, 6, 5}
  • Dual: pentakis dodecahedron
  • V: s3 / 4 * (125 + 43 * √5)
  • A: s2 * 3 * (10 * √3 + √5 * √(5 + 2 * √5))
  • rinner: s * 9/872 * (21 + √5) * √(58 + 18 * √5)
  • router: s / 4 * √(58 + 18 * √5)
  • Vertices/Connectors: 60 (3-way)
  • Faces: 32
    • 12 x 5-sided
    • 20 x 6-sided
  • Edges/Struts:
    • A x 90: 0.40355

Geodesic Truncated Icosahedron L1


Geodesic Truncated Icosahedron L1
  • Vertices/Connectors: 92
    • 12 x 5-way
    • 80 x 6-way
  • Faces: 180 (3-sided)
  • Edges/Struts:
    • A x 60: 0.34862
    • B x 90: 0.40355
    • C x 120: 0.41241
    • total 270 struts (3 kinds)
    • strut variance 18.1%


Geodesic Truncated Icosahedron Dome L1


Geodesic Truncated Icosahedron Dome L1

Geodesic Truncated Icosahedron Dome L1
  • Vertices/Connectors: 46
    • 15 x 4-way
    • 6 x 5-way
    • 25 x 6-way
  • Faces: 75 (3-sided)

  • Truncated Icosahedron Dome L1 Construction Map
  • Edges/Struts:
    • A x 30: 0.34862
    • B x 40: 0.40355
    • C x 50: 0.41241
    • total 120 struts (3 kinds)
    • strut variance 18.1%

d= A= x 30, B= x 40, C= x 50,
The L1 seems like having two straight hemisphere lines, at 3/7 and 4/7 approximately, looks like a Icosahedron 3V.

Geodesic Truncated Icosahedron L2


Geodesic Truncated Icosahedron L2
  • Vertices/Connectors: 362
    • 12 x 5-way
    • 350 x 6-way
  • Faces: 720 (3-sided)
  • Edges/Struts:
    • A x 120: 0.17498
    • B x 120: 0.17741
    • C x 180: 0.20282
    • D x 60: 0.20491
    • E x 120: 0.20621
    • F x 240: 0.20732
    • G x 240: 0.21063
    • total 1080 struts (7 kinds)
    • strut variance 20.6%


Geodesic Truncated Icosahedron Dome L2


Geodesic Truncated Icosahedron Dome L2

Geodesic Truncated Icosahedron Dome L2
  • Vertices/Connectors: 196
    • 30 x 4-way
    • 6 x 5-way
    • 160 x 6-way
  • Faces: 360 (3-sided)

  • Truncated Icosahedron Dome L2 Construction Map
  • Edges/Struts:
    • A x 60: 0.17498
    • B x 60: 0.17741
    • C x 90: 0.20282
    • D x 30: 0.20491
    • E x 65: 0.20621
    • F x 120: 0.20732
    • G x 130: 0.21063
    • total 555 struts (7 kinds)
    • strut variance 20.6%

d= A= x 60, B= x 60, C= x 90, D= x 30, E= x 65, F= x 120, G= x 130,

Geodesic Truncated Icosahedron L2T


Geodesic Truncated Icosahedron L2T
  • Vertices/Connectors: 542
    • 270 x 4-way
    • 180 x 6-way
    • 12 x 10-way
    • 80 x 12-way
  • Faces: 1080 (3-sided)
  • Edges/Struts:
    • A x 60: 0.09684
    • B x 120: 0.11337
    • C x 240: 0.12015
    • D x 120: 0.12264
    • E x 120: 0.17498
    • F x 60: 0.19033
    • G x 180: 0.20282
    • H x 240: 0.20732
    • I x 120: 0.22432
    • J x 240: 0.23636
    • K x 120: 0.24155
    • total 1620 struts (11 kinds)
    • strut variance 149.5%


Geodesic Truncated Icosahedron Dome L2T


Geodesic Truncated Icosahedron Dome L2T

Geodesic Truncated Icosahedron Dome L2T
  • Vertices/Connectors: 289
    • 12 x 3-way
    • 141 x 4-way
    • 88 x 6-way
    • 8 x 7-way
    • 4 x 10-way
    • 36 x 12-way
  • Faces: 540 (3-sided)

  • Truncated Icosahedron Dome L2T Construction Map
  • Edges/Struts:
    • A x 32: 0.09684
    • B x 60: 0.11337
    • C x 120: 0.12015
    • D x 64: 0.12264
    • E x 64: 0.17498
    • F x 32: 0.19033
    • G x 92: 0.20282
    • H x 120: 0.20732
    • I x 60: 0.22432
    • J x 120: 0.23636
    • K x 64: 0.24155
    • total 828 struts (11 kinds)
    • strut variance 149.5%

d= A= x 32, B= x 60, C= x 120, D= x 64, E= x 64, F= x 32, G= x 92, H= x 120, I= x 60, J= x 120, K= x 64,


Next Page >>

Page << Prev | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | Next >>

Content:



Home  ·  About  ·  
Tipi
  ·  
Yurt
  ·  
Dome
  ·  Features  ·  Gallery


Print   ·   Contact   ·   Bookmark


Creative Commons (CC) BY, SA, NC 2005-2017, developed, designed and written by René K. Müller,
Graphics & illustrations made with Inkscape, Tgif, Gimp, PovRay, GD.pm
Web-Site powered by FreeBSD & Debian/Linux - 100% Open Source