Paths on Three Circles

Year: 2020 Authors: H. A. Verrill

Core claim

Three-circle path configurations can be exhaustively classified up to symmetry, yielding 165 cases and 75 Euler cycles, with a complete representative set drawn using octahedral correspondence.

Topics

Euler cycles, symmetry classes, three-circle motifs, path enumeration, Celtic knot variations

Domains

graph theory, combinatorics, group actions, Burnside’s Lemma, symmetry enumeration, Celtic knots, form drawing, pattern design

Methods

exhaustive enumeration, D3 symmetry reduction, Burnside’s Lemma, Python program, TikZ figure generation

Media

intersecting circles, arc drawings, Python, tikzpicture output

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.