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Geomag Wiki
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Main Page
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Wiki Content
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Pentagonal Deltahedron
(0,0,12,8)-deltahedron
(0,18,0,80,24)-deltahedron
Truncated Tetrahedron
Platonic solids
Cuboctahedron
Truncated cube
Polyhedron
(0,0,12,20)-deltahedron
(0,0,12,17)-deltahedron
(0,0,12,10)-deltahedron
(0,0,12,16)-deltahedron
(0,0,12,8)-deltahedron
(0,0,12,45)-deltahedron
(0,0,12,42)-deltahedron
Deltahedron
Lobel Frames
2007-04-30 IMG5782-8x6.jpg
128-hedron.jpg
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Ext elongated hexagonal antiprism.jpg
Extended Elongated Hexagonal Antiprism
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==The real tiling== It's quite difficult to ''see'' the tiling from the Geomag representation (I'm still pondering good ways to color the tilings in Geomag). Here are a some renderings of the ''real'' thing: This paragraph and the picture below reproduced (permission sought) from Steve Dutch's site: [http://www.uwgb.edu/DutchS/symmetry/penrose.htm link] In some ways the pattern here, the Cartwheel, is the most important Penrose Tiling. The purple region at the center is outlined by a decagon consisting of a kite and dart edge. Every point in every tiling is contained inside an identical decagon (although the contents may differ). The outer portion of the pattern consists of two parts. There are ten yellow sectors and ten blue spokes. The spokes consist of "bowtie" units and the spokes can be flipped 180 degrees and still fit their adjacent sectors. That means there are 1024 possible spoke arrangements but after rotations and reflections are eliminated there are only 62 distinct patterns. <gallery> Image:PenrosTilingEJ.jpg |Image generated by Junaid Rashid Image:Dutch_Pencart.gif |Penrose Cartwheel by Steve Dutch Image:Dutch_penrose_infinite_sun.gif |Penrose Infinite Sun by Steve Dutch Image:Dutch_penrose_infinite_star.gif |Penrose Infinite Star by Steve Dutch </gallery>
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