Chapter 14 - Architecture in the "C₅-Community"

Next we explore C₅ - the Truncated Icosahedron. Of particular interest is the use of J₉₂ the Hebesphenorotunda in creating tunnels in this model.

Model .Stel Genus Properties Pages with Diagram Pages with Description Notes C5 / S5Q52S5Q52S5 .Stel 1 (R)(A)(Q)(T)(D)     165 C5 / S5Q5gQ5S5Q5gQ5S5 .Stel 1 (R)(A)(Q)(T)(D)     165 C5 / S5Q5R5Q52S5 .Stel 1 (R)(A)(Q)(T)(D)     165 C5 / S5Q5g(R5Q5)Q5S5 .Stel 1 (R)(A)(Q)(T)(D)     165 C5 / S5S5Q52Q52S5 .Stel 1 (R)(A)(Q)(T)(D)     165 C5 / S5S5Q5gQ5gQ5Q5S5 .Stel 1 (R)(A)(Q)(T)(D)     165 C5 / A5Q52Q52S5 .Stel 1 (R)(A)(Q)(T)(D)   165   C5 / J92(I5)J92 .Stel 1 (R)(A)(Q)(T)(D) 167   hexagon to hexagon W .Stel 0 (R)(Q')(D)   169 not (A), (Q) or (Q'') W' .Stel 0 (R)(C)(D) 168   not (A) - variant of J92 W'' .Stel 0 (R)(A)(Q')   169 not (Q) or (Q'') C5 / 4W(I5) .Stel 3 (R)(A)(Q)(T)(D)   169 chiral C5 / W(I5)W .Stel 1 (R)(A)(Q)(T)(D)   169 W pentagons attached to C5 hexagons C5 / S5(Q5gQ5)(I5Y5-E)W .Stel 1 (R)(A)(Q)(T)(D) 170   apolar - pentagon to hexagon C5 / g(WI5W) .Stel 1 (R)(A)(Q)(T)(D)   170 W pentagons attached to C5 pentagons C5 / g(WI5)J92 .Stel 1 (R)(A)(Q)(T)(D)   170 W pentagons attached to C5 pentagons more work to be done on p. 170           Ex. 128-129 Prev - Chapter 13 - Accordion Polyhedra Next - Chapter 15 - Expedition into "T5-Country" Back to Adventures Among the Toroids - Index Disclaimer: These pages are dedicated to B.M. Stewart. They are intended to be used by readers of his book to better illustrate his ideas in three dimensions. His book has tons of information that I do not intend to represent here, and I highly encourage anyone interested in this subject to buy the book. If you like my illustrations, please let me know. And if you are interested in a particular Stewart Toroid being modeled, please let me know and I will do what I can. Thanks also to Robert Webb for his very cool "Stella" program. I have used it extensively to generate VRML files for my site. It is a great tool for rapid exploration of augmentations and excavations of polyhedra (among other things). Back to the main Polyhedron Page. Link to this page as http://Polyhedra.Doskey.com/Stewart14.html Alexander's Polyhedra, (c) 1998-2006, Alex Doskey