Why Do Penrose Tilings Diffract?

Year: 2003 Authors: Robert V. Moody

Core claim

Penrose tilings are aperiodic yet pure-point diffractive, with diffraction arising from a rank-4 translation structure and an autocorrelation measure.

Topics

aperiodic tilings, diffraction, almost periodicity, hidden symmetry

Domains

group theory, Fourier duality, autocorrelation measures, quasicrystals, mathematics and art, architecture, visual pattern

Methods

theoretical explanation, symmetry analysis, diffraction interpretation

Media

Penrose tilings, diffraction images, schematic of diffraction experiments, real quasicrystals

Source status

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