On the Equivalence of Three Complete Cyclic Systems of Integers

2020/08/10 by Wolfdieter Lang, Lang, Wolfdieter
Computer Science · Mathematics · #11A07 (Secondary) #11B37 (Primary) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2008.04300

openalex publication_date 2020/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The system of coaches by Hilton and Pedersen, the system of cyclic sequences of Schick, and Braendli-Bayne, related to diagonals in regular (2 n)-gons, and the system of modified modular doubling sequences elaborated in this paper are proved to be equivalent. The latter system employs the modified modular equivalence used by Braendli-Bayne. A sequence of Euler tours related on Schick's cycles of diagonals is also presented.

Citations

• The field Q(2cos(pi/n)), its Galois group and length ratios in the regular n-gon
• Modified Congruence Modulo n with Half The Amount of Residues

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