Linked Penrose Tilings

Year: 2025 Authors: Ulrich Reitebuch

Core claim

A small modification of the cut-and-project method makes every Penrose tiling part of a set of five linked “friend” tilings.

Topics

Penrose tilings, cut-and-project method, linked tilings, Wieringa roof

Domains

aperiodic tilings, quasicrystals, lattice projection, golden ratio, mathematical art, paper craft, design, visualization

Methods

de Bruijn construction, 5D projection, vertex filtering, cut-and-glue fabrication

Media

paper sheets, colored paper, cut lines, circular arcs

Source status

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