Hyperbolic Celtic Knot Patterns

Year: 2000 Authors: Douglas Dunham

Core claim

Celtic knot patterns can be systematically constructed in hyperbolic geometry by adapting tessellations and weaving rules from the Euclidean and spherical cases.

Topics

Celtic knot patterns, hyperbolic geometry, regular tessellations, computer-generated art

Domains

hyperbolic geometry, tessellation theory, knot theory, graph-based construction, ornamental pattern design, textile-like weaving, computational art, Celtic art

Methods

primary-secondary-tertiary grid construction, alternating over-under crossings, subdivision of {p,q} tessellations, computer-assisted drawing

Media

computer-generated figures, printed diagrams, tessellation drawings

Source status

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