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 Dodecahedron

Truncated Dodecahedron


Truncated Dodecahedron
  • Uniform Polyhedron: U26
  • Archimedean Solid: A10
  • Wythoff symbol: 2 3|5
  • Symmetry Group: icosahedral
  • Vertex Configuration: {10, 10, 3}
  • Dual: triakis icosahedron
  • V: s3 * 5/12 * (99 + 47 * √5)
  • A: s2 * 5 * (√3 + 6 * √(5 + 2 * √5))
  • rinner: s * 5/488 * (17 * √2 + 3 * √10) * √(37 + 15 * √5)
  • router: s / 4 * √(74 + 30 * √5)
  • Vertices/Connectors: 60 (3-way)
  • Faces: 32
    • 20 x 3-sided
    • 12 x 10-sided
  • Edges/Struts:
    • A x 90: 0.33676

Geodesic Truncated Dodecahedron L1


Geodesic Truncated Dodecahedron L1
  • Vertices/Connectors: 72
    • 60 x 5-way
    • 12 x 10-way
  • Faces: 140 (3-sided)
  • Edges/Struts:
    • A x 90: 0.33676
    • B x 120: 0.56832
    • total 210 struts (2 kinds)
    • strut variance 68.5%

Geodesic Truncated Dodecahedron L2


Geodesic Truncated Dodecahedron L2
  • Vertices/Connectors: 282
    • 60 x 5-way
    • 210 x 6-way
    • 12 x 10-way
  • Faces: 560 (3-sided)
  • Edges/Struts:
    • A x 180: 0.16899
    • B x 60: 0.17082
    • C x 120: 0.17562
    • D x 240: 0.28714
    • E x 240: 0.29098
    • total 840 struts (5 kinds)
    • strut variance 72.2%
Beautiful shape, the L1 & L2, unfortunately no straight hemisphere line.

Geodesic Truncated Dodecahedron L2T


Geodesic Truncated Dodecahedron L2T
  • Vertices/Connectors: 422
    • 210 x 4-way
    • 140 x 6-way
    • 60 x 10-way
    • 12 x 20-way
  • Faces: 840 (3-sided)
  • Edges/Struts:
    • A x 60: 0.09874
    • B x 240: 0.12901
    • C x 180: 0.16899
    • D x 120: 0.18392
    • E x 60: 0.19536
    • F x 240: 0.24880
    • G x 240: 0.28714
    • H x 120: 0.36730
    • total 1260 struts (8 kinds)
    • strut variance 270.7%


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