In 3- and 4-dimensional hyperbolic spaces there are four, respectively five, regular mosaics with bounded cells. A belt can be created around an arbitrary base vertex of a mosaic. The construction can be iterated and a growing ratio can be determined by using the number of the cells of the considered belts. In this article we determine these growing ratios for each mosaic in a generalized way
We establish a close relationship between isoperimetric inequalities for convex bodies and asymptoti...
AbstractWe investigate further the concept of asymptotic connectivity as defined previously by the f...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...
In this work we consider tessellations (or tilings) of the hyperbolic plane by copies of a semi-regu...
A tessellation is understood to be a 1-ended, locally finite, locally cofinite, 3-connected planar m...
AbstractA tessellation is taken to be an infinite, 1-ended, 3-connected, locally finite, and locally...
For any given regular {p,q} tessellation in the hyperbolic plane, we compute the number of vertices ...
The splitting method was defined by the author in [Margenstern 2002a], [Margenstern 2002d]. It is at...
The aim of this paper is to determine the elements which are in two pairs of sequences linked to th...
In this paper, we study the number of tilings of the hyperbolic plane that can be constructed, start...
For any given regular {p, q} tessellation in the hyperbolic plane, we compute the number of vertices...
In a convex mosaic in Rd we denote the average number of vertices of a cell by v and the average num...
1We cover the fundamentals of plane hyperbolic geometry and describe a method to generate hyperbolic...
This article is mainly concerned with simplices in n-dimensional hyperbolic space. The main tool is ...
The study of cellular automata (CA) on tilings of hyperbolic plane was initiated in [6]. Appropriate...
We establish a close relationship between isoperimetric inequalities for convex bodies and asymptoti...
AbstractWe investigate further the concept of asymptotic connectivity as defined previously by the f...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...
In this work we consider tessellations (or tilings) of the hyperbolic plane by copies of a semi-regu...
A tessellation is understood to be a 1-ended, locally finite, locally cofinite, 3-connected planar m...
AbstractA tessellation is taken to be an infinite, 1-ended, 3-connected, locally finite, and locally...
For any given regular {p,q} tessellation in the hyperbolic plane, we compute the number of vertices ...
The splitting method was defined by the author in [Margenstern 2002a], [Margenstern 2002d]. It is at...
The aim of this paper is to determine the elements which are in two pairs of sequences linked to th...
In this paper, we study the number of tilings of the hyperbolic plane that can be constructed, start...
For any given regular {p, q} tessellation in the hyperbolic plane, we compute the number of vertices...
In a convex mosaic in Rd we denote the average number of vertices of a cell by v and the average num...
1We cover the fundamentals of plane hyperbolic geometry and describe a method to generate hyperbolic...
This article is mainly concerned with simplices in n-dimensional hyperbolic space. The main tool is ...
The study of cellular automata (CA) on tilings of hyperbolic plane was initiated in [6]. Appropriate...
We establish a close relationship between isoperimetric inequalities for convex bodies and asymptoti...
AbstractWe investigate further the concept of asymptotic connectivity as defined previously by the f...
Paul Gunther (1966), proved the following result: Given a continuous function f on a compact surface...