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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. |
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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 |
+ | 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] |
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− | Voted: --[[User:Karl Horton|Karl Horton]] 09:10, 9 August 2007 (UTC) |
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[[Category:Polyhedron]] |
[[Category:Polyhedron]] |
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[[Category:Zonohedron]] |
[[Category:Zonohedron]] |
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[[Category:Intersecting Structure]] |
[[Category:Intersecting Structure]] |
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[[Category:Reinforcement Structure]] |
[[Category:Reinforcement Structure]] |
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− | [[Category: *****]] |
+ | [[Category: *****]] |

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+ | Voted: --[[User:Karl Horton|Karl Horton]] 09:10, 9 August 2007 (UTC) |