Some Monohedral Tilings Derived From Regular Polygons

Year: 2007 Authors: Paul Gailiunas

Core claim

Tiles built from polygonal arcs of regular polygons generate a broad family of plane tilings, with symmetry and spiraling behavior determined by simple angle and arc-length conditions.

Topics

monohedral tilings, regular polygons, centrally symmetric patterns, spiral tilings, periodic tilings

Domains

tessellation geometry, polygonal angles, symmetry groups, plane tilings, dissection, mathematical art, textile design, architectural ornament

Methods

geometric construction, case analysis, angle-sum calculation, tiling enumeration

Media

polygonal arcs, rhombi, paper diagrams

Source status

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