23 citations · 120 across the 28 of their papers we have counts for
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Density of triangulated ternary disc packings
Thomas Fernique, Daria Pchelina
We consider ternary disc packings of the plane, i.e. the packings using discs of three different radii. Packings in which each ''hole'' is bounded by three pairwise tangent discs a…
Geometrical Penrose Tilings are characterized by their 1-atlas
Thomas Fernique, Victor Lutfalla
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration match at the junction between two tiles (like in a jigsaw puzzle). In dynamical te…
Ammann Bars for Octagonal Tilings
Thomas Fernique, Carole Porrier
Ammann bars are formed by segments (decorations) on the tiles of a tiling such that forming straight lines with them while tiling forces non-periodicity. Only a few cases are known…
Purely local growth of a quasicrystal
Thomas Fernique, Ilya Galanov
Self-assembly is the process in which the components of a system, whether molecules, polymers, or macroscopic particles, are organized into ordered structures as a result of local…