Knotted Strapwork Strands in a Penrose-Type Girih Pattern

Year: 2025 Authors: Joseph I. Cline

Core claim

Selected knotted strapwork strand families in a Penrose-type Girih pattern can be organized and partly predicted through quantitative scaling laws, knot topology, and a consistent nomenclature.

Topics

Penrose P2 tiling, Girih decoration, knot topology, scaling laws, fractal strand families

Domains

aperiodic tilings, knot theory, scaling laws, golden ratio, symmetry, Islamic geometric design, decorative strapwork, ornamental patterning

Methods

computational strand tracing, empirical classification, symmetry analysis, quantitative measurement

Media

Penrose P2 kite and dart tiling, Girih strapwork lines, color-coded figures, decorated tiling diagrams

Source status

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