Quasiperiodic Tilings: A Generalized Grid--Projection Method
Vladimir Korepin (YITP, Stony Brook), Franz Gaehler (Mathematics,, University of Bielefeld), Jakob Rhyner (United Nations University, Institute, for Environment, Human Security)

TL;DR
This paper discusses a generalized grid-projection method for analyzing quasiperiodic tilings, which has applications in understanding quasicrystal symmetries and spin interactions.
Contribution
It introduces a generalized grid-projection technique that broadens the analysis of quasiperiodic structures and their symmetries.
Findings
Effective description of quasicrystal symmetries
Application to spin interaction analysis
Versatile for various quasiperiodic systems
Abstract
In 1988 we discovered generalized grid--projection method. Since then the method proved to be useful for description of symmetries of quasicrystals also for analysis of interacting spins.
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