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
Combinatorial geometry is a broad and beautiful branch of mathematics. This PhD Thesis consists of t...
AbstractA cubic diagram is a cubic graph G drawn in the plane, possibly with edge-crossings. The dra...
The problem of mistakes in Penrose tilings will be investigated. Specifically, we will consider the...
AbstractIt is shown that for any Penrose pattern π and for any positive number ε we can find two ver...
It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P ...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
An earliest preoccupation of man has been to find ways of partitioning infinite space into regions h...
This paper examines a recomposition of the rhombic Penrose aperiodic protoset due to Robert Ammann. ...
We show that the basic building blocks of a Perfect Penrose Pattern (PPT) in two dimensions can be e...
AbstractThere are many tilings of the plain, some of them are periodic, others are aperiodic. A chro...
In this essay we present aperiodic sets of prototiles which shapes are based on the well-known Penro...
AbstractIt is known that any two rhombus tilings of a polygon are flip-accessible, that is, linked b...
Conventionally, Penrose tilings with fivefold symmetry are constructed with the aid of two character...
There are many aperiodic tilings of the plane. The chromatic number of a tiling is the minimum numbe...
Combinatorial geometry is a broad and beautiful branch of mathematics. This PhD Thesis consists of t...
AbstractA cubic diagram is a cubic graph G drawn in the plane, possibly with edge-crossings. The dra...
The problem of mistakes in Penrose tilings will be investigated. Specifically, we will consider the...
AbstractIt is shown that for any Penrose pattern π and for any positive number ε we can find two ver...
It is shown that for any Penrose pattern p and for any positive number e we can find two vertices P ...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration ma...
An earliest preoccupation of man has been to find ways of partitioning infinite space into regions h...
This paper examines a recomposition of the rhombic Penrose aperiodic protoset due to Robert Ammann. ...
We show that the basic building blocks of a Perfect Penrose Pattern (PPT) in two dimensions can be e...
AbstractThere are many tilings of the plain, some of them are periodic, others are aperiodic. A chro...
In this essay we present aperiodic sets of prototiles which shapes are based on the well-known Penro...
AbstractIt is known that any two rhombus tilings of a polygon are flip-accessible, that is, linked b...
Conventionally, Penrose tilings with fivefold symmetry are constructed with the aid of two character...
There are many aperiodic tilings of the plane. The chromatic number of a tiling is the minimum numbe...
Combinatorial geometry is a broad and beautiful branch of mathematics. This PhD Thesis consists of t...
AbstractA cubic diagram is a cubic graph G drawn in the plane, possibly with edge-crossings. The dra...
The problem of mistakes in Penrose tilings will be investigated. Specifically, we will consider the...
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