Growth Forms of Grid Tilings

Year: 2022 Authors: Peter Hilgers; Anton Shutov

Core claim

Any regular grid tiling in 2D or 3D has an explicitly computable growth form given by a projection of a central orthoplex section.

Topics

quasiperiodic tilings, growth forms, grid method, corona limits, orthoplexes

Domains

tiling theory, discrete geometry, convex polytopes, projection geometry, mathematical visualization, Bridges art exhibition, pattern design

Methods

grid tiling construction, projection analysis, corona scaling, combinatorial counting

Media

2D and 3D figures, tiling diagrams, polyhedral models

Source status

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