Pythagorean Numbers Unlocked: Conjugates, Sequences, and Almost-Integers

Dive into the world of Pythagorean numbers: real algebraic integers whose Galois conjugates lie inside the unit circle, with the golden ratio as a centerpiece. See why powers of these numbers cling to integers, explore Pythagorean sequences built from E numbers, and map the surprising sets E, H, S, and T. Meet the plastic constant and its kin—morphic numbers—and uncover connections to architecture, Diophantine approximations, and the broader landscape of number theory.

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