Nov 15, 2022 � The geometrical Penrose tilings are characterized by a small set of patterns called vertex-atlas, ie, they form a tiling space of finite type.

Sep 23, 2024 � The geometrical Penrose tilings are characterized by a small set of patterns called vertex-atlas, ie, they form a tiling space of finite type.

Aug 2, 2023 � Theorem 1. Geometrical Penrose tilings are characterized by their 1-atlas, that is, any tiling by the thin and fat rhombus whose 1-maps all�...

We characterize these toposes in terms of their canonical points. We identify natural classes of representatives with good topological properties, 'powder�...

Geometrical Penrose Tilings are characterized by their 1-atlas � arXiv, November 2022 � Thomas Fernique, Victor Lutfalla�...

Penrose rhombus tilings are tilings of the plane by two decorated rhombi such that the decorations match at the junction between two tiles (like in a jigsaw�...

Nov 30, 2022 � Here we show the following fact, which is often considered as folk: Theorem 1 Penrose tilings are characterized by their 1-atlas. A similar�...

Oct 4, 2024 � We use this to prove that the geometrical Penrose tilings are characterized by a small set of patterns called vertex-atlas, i.e., they form a�...

The geometrical Penrose tilings are characterized by a small set of patterns called vertex-atlas, ie, they form a tiling space of finite type.

The arrowed vertex atlas at the center of 5-fold symmetry is in 8 kinds of vertex atlases with arrows of the property (1) of Penrose tiling in the section 1. So�...