In Search of Demiregular Tilings

Year: 2006 Authors: Helmer Aslaksen

Core claim

The notion of a finite set of 14 demiregular tilings is inconsistent unless “demiregular” is restricted to a precise symmetry-based definition.

Topics

demiregular tilings, Archimedean tilings, symmetry classes, mathematical archaeology

Domains

tiling theory, geometry, symmetry groups, combinatorics, mathematics and art, design source books, pattern studies

Methods

literature comparison, classification analysis, counterexample construction

Media

regular polygons, tiling diagrams, tables

Source status

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