Note on ordering and complexity of Platonic and Archimedean polyhedra based on solid angles |
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| Authors: | Damir Vukičević Alexandru T Balaban |
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| Institution: | (1) Department of Mathematics, University of Split, Nikole Tesle 12, 21000 Split, Croatia;(2) Texas A&M University at Galveston, 5007 Avenue U, Galveston, TX 77551, USA |
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| Abstract: | The missing values for the solid angles of the two snub semiregular polyhedra have been calculated, and integrated into the
whole series of Platonic and Archimedean polyhedra. This is the only criterion which so far gives an unambiguous answer (without
any degeneracy leading to posets) on how to order these polyhedra according to their increasing complexity. |
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| Keywords: | Regular (Platonic) polyhedra Semiregular (Archimedean) polyhedra Complexity Ordering Solid angles |
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