Chapter 13 - Accordion Polyhedra

  • For our next diversion, the author explores some possible replacements for S52 (i.e. with the same pentagon to pentagon height).
    Model.Stel GenusProperties Pages with Diagram Pages with DescriptionNotes
    S5S5P5Q5-ER5R5Q5-EP5S5S5P5Q5-Eg(R5R5)Q5-EP5 .Stel0 (R)(A)(D)152  
    S5S5P5R5Q5-ES5P5R5Q5-ER5Q5-EP5R5g(Q5-ER5)Q5-EP5 .Stel0 (R)(A)(D)152  
    A5 .Stel0 (R)(A)(D)154  
    A5' .Stel0 (R)(A)(D)155 height < h(h,h,S5S5)
    A5'' .Stel0 (R)(A)(D)156155height = h(5,5,S5S5)
    m .Stel0 (R)(A)(D) 156shell
    A5''-2m .Stel0 (R)(A)(D)151, 157 pairwise augmented pentagonal cupola height = h(5,5,S5S5)
    m* .Stel0 (R)(A)(D) 157mY5 = m*
    (m*m*)(m*m*) .Stel0 (R)(A)(D) 157height = h(5,5,S5S5)
    A5''m-E .Stel0 (R)(A)(D)158  
    A5P5A5''Y55AP5A5''Y54AY5AP5(m*m*)(m*m*)P5 .Stel 0(R)(A)(D)158  
    A5''m-2EP5S5S5P5A5''m-EP5A5''P5 .Stel0 (R)(A)(D)158  
    Ex110_n=4 .Stel0 (R)(A)(D) 159 
    Ex110_n=5 .Stel0 (R)(A)(D) 159 
    Ex111_n=4 .Stel0 (R)(A)(D) 159 
    Ex111_n=5 .Stel0 (R)(A)(D) 159 
    more work to be done on p. 159 through 161       Ex. 112-117

    Prev - Chapter 12 - Opening the "E5-Realm"
    Next - Chapter 14 - Architecture in the "C5-Community"
    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).


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