On the Equivalence of Three Complete Cyclic Systems of Integers

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.

arXiv comment25 pages with 5 figures and 2 tables

References in corpus (2)

• 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