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math.HO2004
Trisections and Totally Real Origami
Roger C. Alperin
We introduce a trisection axiom for mathematical origami and descibe the totally real origami numbers. We also discuss the solution of Alhazen's problem and its relation to trisect…
math.HO2000
The Modular Tree of Pythagorus
Roger C. Alperin
The Pythagorean triples have the structure of a ternary rooted tree; the tree is based on the Cayley graph of a free subgroup of the modular group