On the Topology of Celtic Knot Designs

Year: 2004 Authors: Gwen Fisher; Blake Mellor

Core claim

The number of components in several basic Celtic knotwork designs can be computed from permutations, yielding gcd-based formulas.

Topics

Celtic knotwork, component counting, permutations, strip patterns

Domains

topology, combinatorics, group theory, number theory, Celtic art, ornament design, interlace patterns, graphic design

Methods

permutation cycles, topological reasoning, constructive analysis, case-by-case formulas

Media

knotwork panels, ribbon designs, border layouts, illustrations

Source status

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