AbstractIt is shown that for any Penrose pattern π and for any positive number ε we can find two vertices P and Q of π such that in any large circular disk all but a fraction of at most ε of the vertices is common to all Penrose patterns (with the same pieces, in the same directions) that have P and Q as vertices
t. Miquel’s pentagram theorem is true for any pentagon. We consider the pentagram obtained by produc...
It is well known that one can construct a family of q 2 \Gammaq 2 Miquelian inversive planes on th...
This paper examines a recomposition of the rhombic Penrose aperiodic protoset due to Robert Ammann. ...
It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P ...
AbstractIt is shown that for any Penrose pattern π and for any positive number ε we can find two ver...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
We show that the basic building blocks of a Perfect Penrose Pattern (PPT) in two dimensions can be e...
There are many aperiodic tilings of the plane. The chromatic number of a tiling is the minimum numbe...
Conventionally, Penrose tilings with fivefold symmetry are constructed with the aid of two character...
A continuous measure of symmetry and the Voronoi entropy of 2D patterns representing Voronoi diagram...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
We prove that the original Penrose tilings of the plane admit an infinite number of independent scal...
24. A single figure, part of a geometric proof from On Interlocks of Similar or Corresponding Figure...
We report the dense configurations of 2 ≤ N ≤ 200 congruent disks packed inside a regular pentadecag...
We extend the Penrose polynomial, originally defined only for plane graphs, to graphs embedded in ar...
t. Miquel’s pentagram theorem is true for any pentagon. We consider the pentagram obtained by produc...
It is well known that one can construct a family of q 2 \Gammaq 2 Miquelian inversive planes on th...
This paper examines a recomposition of the rhombic Penrose aperiodic protoset due to Robert Ammann. ...
It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P ...
AbstractIt is shown that for any Penrose pattern π and for any positive number ε we can find two ver...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
We show that the basic building blocks of a Perfect Penrose Pattern (PPT) in two dimensions can be e...
There are many aperiodic tilings of the plane. The chromatic number of a tiling is the minimum numbe...
Conventionally, Penrose tilings with fivefold symmetry are constructed with the aid of two character...
A continuous measure of symmetry and the Voronoi entropy of 2D patterns representing Voronoi diagram...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
We prove that the original Penrose tilings of the plane admit an infinite number of independent scal...
24. A single figure, part of a geometric proof from On Interlocks of Similar or Corresponding Figure...
We report the dense configurations of 2 ≤ N ≤ 200 congruent disks packed inside a regular pentadecag...
We extend the Penrose polynomial, originally defined only for plane graphs, to graphs embedded in ar...
t. Miquel’s pentagram theorem is true for any pentagon. We consider the pentagram obtained by produc...
It is well known that one can construct a family of q 2 \Gammaq 2 Miquelian inversive planes on th...
This paper examines a recomposition of the rhombic Penrose aperiodic protoset due to Robert Ammann. ...
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