International audienceThis paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclidean space. This family contains the Ammann-Beenker tilings as the solution of a simple optimization problem
AbstractWe present a large class of parallelogram tilings that have two important features in common...
v5: technical revision (positions of figures are shifted)International audienceAn aperiodic tile set...
We introduce a family of reconfiguration puzzles arising from ideas in geometry and topology. We pre...
International audienceThis paper introduces two tiles whose tilings form a one-parameter family of t...
This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all b...
This study proposes a method for producing an endless number of fractals using aperiodic substitutio...
Ammann bars are formed by segments (decorations) on the tiles of a tiling such that forming straight...
In 1982 a quasi-crystal with 5-fold rotational symmetry was discovered by Shechtman et al. The most ...
This paper examines a recomposition of the rhombic Penrose aperiodic protoset due to Robert Ammann. ...
In this essay we present aperiodic sets of prototiles which shapes are based on the well-known Penro...
International audienceWe present here an elementary construction of an aperiodic tile set. Although ...
The edge-to-edge tilings of the sphere by congruent quadrilaterals of Type $a^2bc$ are classified as...
International audienceWe establish a structure theorem for the family of Ammann A2 tilings of the pl...
In 1918, K. Reinhardt discovered five different families of convex pentagons that could tile the pla...
My main research interest is combinatorics and discrete geometry. I study tilings in this context, w...
AbstractWe present a large class of parallelogram tilings that have two important features in common...
v5: technical revision (positions of figures are shifted)International audienceAn aperiodic tile set...
We introduce a family of reconfiguration puzzles arising from ideas in geometry and topology. We pre...
International audienceThis paper introduces two tiles whose tilings form a one-parameter family of t...
This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all b...
This study proposes a method for producing an endless number of fractals using aperiodic substitutio...
Ammann bars are formed by segments (decorations) on the tiles of a tiling such that forming straight...
In 1982 a quasi-crystal with 5-fold rotational symmetry was discovered by Shechtman et al. The most ...
This paper examines a recomposition of the rhombic Penrose aperiodic protoset due to Robert Ammann. ...
In this essay we present aperiodic sets of prototiles which shapes are based on the well-known Penro...
International audienceWe present here an elementary construction of an aperiodic tile set. Although ...
The edge-to-edge tilings of the sphere by congruent quadrilaterals of Type $a^2bc$ are classified as...
International audienceWe establish a structure theorem for the family of Ammann A2 tilings of the pl...
In 1918, K. Reinhardt discovered five different families of convex pentagons that could tile the pla...
My main research interest is combinatorics and discrete geometry. I study tilings in this context, w...
AbstractWe present a large class of parallelogram tilings that have two important features in common...
v5: technical revision (positions of figures are shifted)International audienceAn aperiodic tile set...
We introduce a family of reconfiguration puzzles arising from ideas in geometry and topology. We pre...
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