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Rhombic Triacontahedron (Internally supported)

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The support struts may be seen as "step three diagonals" of the dodecahedron formed by the points of the intersecting tetrahedra.
 
The support struts may be seen as "step three diagonals" of the dodecahedron formed by the points of the intersecting tetrahedra.
   
This strut is itself the diagonal of a square whose sides are formed by the inscribed pentagram on the dodecahedral faces, which have length the golden ratio, phi (=1.618approx) [this is a "root-two-phi bar" see ???]
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This strut is itself the diagonal of a square whose sides are formed by the inscribed pentagram on the dodecahedral faces, which have length the golden ratio, phi (=1.618approx) [this is a "root-two-phi bar" see ???]
   
 
So, the support strut is sqrt(2) times phi times the length of the dodecahedral edge.
 
So, the support strut is sqrt(2) times phi times the length of the dodecahedral edge.
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* [http://www.flickr.com/photos/karlhorton/sets/72157601630325142/ flickr set by Karl Horton]
 
* [http://www.flickr.com/photos/karlhorton/sets/72157601630325142/ flickr set by Karl Horton]
   
 
Voted: --[[User:Karl Horton|Karl Horton]] 09:10, 9 August 2007 (UTC)
 
 
[[Category:Polyhedron]]
 
[[Category:Polyhedron]]
 
[[Category:Zonohedron]]
 
[[Category:Zonohedron]]
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[[Category:Intersecting Structure]]
 
[[Category:Intersecting Structure]]
 
[[Category:Reinforcement Structure]]
 
[[Category:Reinforcement Structure]]
[[Category: *****]]
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[[Category: *****]]
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Voted: --[[User:Karl Horton|Karl Horton]] 09:10, 9 August 2007 (UTC)
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