An installment of John's blog relevant to the link above.
| Klein's Quartic Curve by Greg Egan |
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The Beauty of Klein's Quartic by John Baez |
| Klein's Quartic Equation by Greg Egan |
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Platonic
tilings of Riemann surfaces This site has many illustrations and links to other related sites not included here. It provides some background relevant to the Platonic surfaces assignment. |
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On the Order-Seven Transformation of Elliptic Functions by Felix Klein
(46 pages) English translation of an 1878 paper by Klein relevant to the {3,7} tesselation. (The first page of this paper is blank; go to the second page.) |
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Infinite
Regular Polyhedra This site has picture of many infinite Platonic surfaces and links to other similar ones with more of them. The one shown here has Schläfli symbol {4,6}. |
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Combinatorial Tiling Theory and Delaney-Dress Symbols "The study of tilings has a long history, but it was only in the 1980's that a finite symbol was found to uniquely encode both the topology and symmetry of an infinite periodic tiling." |
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