Layer-by-Layer Growth of Ammann-Beenker Graph


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The layer-by-layer growth of Ammann-Beenker graph (a quasi-periodic graph with eightfold symmetry) has been experimentally and theoretically studied. The limiting form for the growth of Ammann-Beenker graph is established in the form of a regular octagon, whose vertices are found explicitly. The lower and upper bounds of this form, which coincide with the growth form, are proven rigorously.

Sobre autores

A. Shutov

Vladimir State University

Email: andr_mal@mail.ru
Rússia, Vladimir, 600000

A. Maleev

Vladimir State University

Autor responsável pela correspondência
Email: andr_mal@mail.ru
Rússia, Vladimir, 600000

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