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Aperiodic Tiles.

G.C. Shephard, R. Ammann, B Grünbaum (1992)

Discrete & computational geometry

Atomic surfaces, tilings and coincidences II. Reducible case

Hiromi Ei, Shunji Ito, Hui Rao (2006)

Annales de l’institut Fourier

The atomic surfaces of unimodular Pisot substitutions of irreducible type have been studied by many authors. In this article, we study the atomic surfaces of Pisot substitutions of reducible type.As an analogue of the irreducible case, we define the stepped-surface and the dual substitution over it. Using these notions, we give a simple proof to the fact that atomic surfaces form a self-similar tiling system. We show that the stepped-surface possesses the quasi-periodic property, which implies that...

Ausbohrung von Rhomben

B. WEISSBACH (1977)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

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