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Topic: Disdyakis triacontahedron


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  Rhombic triacontahedron -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-09)
The ratio of the long diagonal to the short diagonal of each face is exactly equal to the (additional info and facts about golden ratio) golden ratio, φ, so that the (A mark (') placed above a vowel to indicate pronunciation) acute angles on each face measure 2 tan
Being the dual of an (additional info and facts about Archimedean polyhedron) Archimedean polyhedron, the rhombic triacontahedron is face-uniform, meaning the (additional info and facts about symmetry group) symmetry group of the solid acts (additional info and facts about transitive) transitively on the set of faces.
The rhombic triacontahedron forms the (hull of) the projection of a 6-dimensional (additional info and facts about hypercube) hypercube to 3 dimensions.
www.absoluteastronomy.com /encyclopedia/r/rh/rhombic_triacontahedron.htm   (209 words)

  
 Disdyakis triacontahedron - Wikipedia, the free encyclopedia
A disdyakis triacontahedron, or hexakis icosahedron is the Catalan solid whose Archimedean dual is the truncated icosidodecahedron.
As such it is face uniform but with irregular face polygons.
It looks a bit like an inflated rhombic triacontahedron—if one replaces each face of the rhombic triacontahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis triacontahedron.
en.wikipedia.org /wiki/Disdyakis_triacontahedron   (100 words)

  
 Disdyakis triacontahedron -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-09)
Disdyakis triacontahedron -- Facts, Info, and Encyclopedia article
A disdyakis triacontahedron is the (additional info and facts about Catalan solid) Catalan solid whose (additional info and facts about Archimedean) Archimedean dual is the (additional info and facts about truncated icosidodecahedron) truncated icosidodecahedron.
It looks a bit like an inflated (additional info and facts about rhombic triacontahedron) rhombic triacontahedron—if one replaces each face of the rhombic triacontahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis triacontahedron.
absoluteastronomy.com /encyclopedia/d/di/disdyakis_triacontahedron.htm   (157 words)

  
 Computer Graphics - Available Polyhedrons   (Site not responding. Last check: 2007-10-09)
Icosidodecahedron (12 pentagons, 20 triangles; dual of the Rhombic triacontahedron)
Disdyakis Dodecahedron (48 triangles; dual of the Great Rhombicuboctahedron; a specific cumulation of the Rhombic Dodecahedron, also related to the Deltoidal Icositetrahedron; also termed, or very similar to, the Hexakis Octahedron)
Rhombic Triacontahedron (30 rhombi; dual of the Icosidodecahedron; degenerate Cumulation of either the Dodecahedron or the Icosahedron)
www.soi.city.ac.uk /~dcd/ig/week01/pol.htm   (508 words)

  
 articles
Encoding of the Roots of the Superstring Gauge Symmetry Group E8 in the Inner Tree of Life and the Disdyakis Triacontahedron
The triakis tetrahedron and the disdyakis triacontahedron embody the fine structure constant and the structural parameter of the heterotic superstring
The equivalence of the triakis tetrahedron, disdyakis triacontahedron and Plato's 'Lambda Tetractys'
www.smphillips.8m.com /html/articles.html   (421 words)

  
 Disdyakis dodecahedron -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-09)
A disdyakis dodecahedron, or hexakis octahedron, is the (additional info and facts about Catalan solid) Catalan solid whose (additional info and facts about Archimedean) Archimedean dual is the (additional info and facts about truncated cuboctahedron) truncated cuboctahedron.
It looks a bit like an inflated (additional info and facts about rhombic dodecahedron) rhombic dodecahedron — if one replaces each face of the rhombic dodecahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis dodecahedron.
(additional info and facts about disdyakis triacontahedron) disdyakis triacontahedron
www.absoluteastronomy.com /encyclopedia/d/di/disdyakis_dodecahedron.htm   (162 words)

  
 The International Bone Rollers' Guild
The Rhombic Triacontahedron (right) is composed of the same sort of diamond-shaped figures.
The Disdyakis Dodecahedron (right) is dual to the Truncated Cuboctahedron.
The Disdyakis Triacontahedron (right) a distant cousin to the Regular Dodecahedron and Icosihedron, is dual to the Truncated Icosidodecahedron.
members.aol.com /dicetalk/polyh5.htm   (282 words)

  
 Mr. Fusion: A cage of my own
I've always wanted to build these cages from great circle folding, but for some reason I blanked out on the simple folding shown in figure B on the right (click for larger version).
What I remembered was the disdyakis triacontahedron folding shown in figure A, but I completely blanked out the folding for the polyhedra I'm using.
So Friday I bought some 22 gauge sheets of steel and started planning.
mr-fusion.hellblazer.com /000016.html   (649 words)

  
 Mr. Fusion: Mean Free Path
Something I'm definitely going to be on the lookout for, in any event.
The picture on the left is of the rapid prototyping produced disdyakis triacontahedron cage I had made.
I had mentioned this earlier and several people wanted to see a picture of it.
mr-fusion.hellblazer.com /000013.html   (625 words)

  
 Disdyakis dodecahedron
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A disdyakis dodecahedron is the Catalan solid whose Archimedean dual is the truncated cuboctahedron.
It looks a bit like an inflated rhombic dodecahedron — if one replaces each face of the rhombic dodecahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis dodecahedron.
www.sciencedaily.com /encyclopedia/disdyakis_dodecahedron   (144 words)

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