What Lies Beneath a Family of Aperiodic Monotilings

Year: 2025 Authors: Iestyn Jowers; Richard J. Moat

Core claim

Connecting monotiling vertices with straight lines reveals underlying polygonal structures consistent with metatiles and supports new aperiodic tilings derived from edge modification.

Topics

aperiodic tilings, vertex analysis, metatiles, edge modification, polygonal reconstruction

Domains

tiling theory, combinatorics, geometry, polygonal tilings, pattern design, jigsaw-like forms, Escher-like figures, visual composition

Methods

vertex coincidence analysis, polygon extraction, metatile clustering, matching rules

Media

tiling diagrams, polygonal tiles, interactive tiling application, line-drawn patches

Source status

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