A Fresh Look at Number

Year: 2000 Authors: Jay Kappraff; Gary W. Adamson

Core claim

Integer structure, when recoded through continued fractions and Gray code, reveals linked patterns across resonances, puzzles, chaos, and the 64 codons of DNA.

Topics

rational number hierarchy, Gray code, Towers of Hanoi, DNA codons

Domains

continued fractions, number theory, dynamical systems, binary and base-n systems, information visualization, algorithmic patterning, design of notation

Methods

binary encoding, continued fraction algorithm, Farey sequence analysis, generalized Gray code

Media

tables, figure of devil’s staircase, DNA codon matrix

Source status

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