A Database of 2,500 Quasicrystal Cells

TL;DR

This paper presents a comprehensive database of 2,500 quasicrystal cells generated using the deBruijn Grand Dual Method, with validation and discussion of potential modeling applications.

Contribution

It introduces a new, validated database of quasicrystal cells computed via the deBruijn algorithm, facilitating geometric analysis and modeling.

Findings

Database contains 2,500 quasicrystal cells.

Validation through volume consistency confirms accuracy.

Discussion of algorithm's application to modeling phenomena.

Abstract

Here is a database of quasicrystal cells computed by the deBruijn Grand Dual Method. The database is in a form that can be converted and read by a variety of geometry programs. Proof of the accuracy of the computations is given by the consistency of the two values of the volumes of the cells. How the deBruijn algorithm works, and the possible use of the algorithm for modeling non-local phenomena is also discussed.