Categorizing Celtic Knot Designs

Year: 2021 Authors: Roger Antonsen; Laura Taalman

Core claim

Reducing and categorizing rectangular Celtic knot designs reveals mathematically and aesthetically significant families, especially when organized by symmetry and graph-based relations.

Topics

rectangular Celtic knot designs, equivalence classes, Hamming graphs, Burnside’s Lemma

Domains

group theory, combinatorics, graph theory, knot theory, Celtic art, pattern design, ornamental design, visual aesthetics

Methods

enumeration, filtering criteria, symmetry classification, graph quotients

Media

grid-based designs, mirror curves, software-generated images

Source status

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