Regular Figures concerns the systematology and genetics of regular figures. The first part of the book deals with the classical theory of the regular figures. This topic includes description of plane ornaments, spherical arrangements, hyperbolic tessellations, polyhedral, and regular polytopes. The problem of geometry of the sphere and the two-dimensional hyperbolic space are considered. Classical theory is explained as describing all possible symmetrical groupings in different spaces of constant curvature. The second part deals with the genetics of the regular figures and the inequalities f
1We cover the fundamentals of plane hyperbolic geometry and describe a method to generate hyperbolic...
We extend the definition of regular star polygons and other regular star polygrams to be drawn withi...
Complex groups generated by involutory reflexions arise naturally in the modern theory of abstract r...
This work is intended for all people from the general public especially for all people interested in...
Preface Regular maps and hypermaps are cellular decompositions of closed sur-faces exhibiting the hi...
AbstractVarious extremum problems are presented which lead to highly symmetric geometrical configura...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
The theory of the regular and semi-regular polyhedra is a classical topic of geometry. However, in m...
AbstractRegular incidence-polytopes are combinatorial generalizations of regular polyhedra. Certain ...
AbstractA regular figure (which includes all regular polygons) is a set of points on a hypersphere w...
The diploma paper presents the history of regular polyhedrons, typological properties, area and volu...
A crystallization of a closed connected PL manifold M is a special edge-colored graph representing M...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
This book explains the structure of the nine regular solids, including the tetrahedron, cube, octahe...
Abstract. Regular polygonal complexes in euclidean 3-space E3 are discrete polyhedra-like structures...
1We cover the fundamentals of plane hyperbolic geometry and describe a method to generate hyperbolic...
We extend the definition of regular star polygons and other regular star polygrams to be drawn withi...
Complex groups generated by involutory reflexions arise naturally in the modern theory of abstract r...
This work is intended for all people from the general public especially for all people interested in...
Preface Regular maps and hypermaps are cellular decompositions of closed sur-faces exhibiting the hi...
AbstractVarious extremum problems are presented which lead to highly symmetric geometrical configura...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
The theory of the regular and semi-regular polyhedra is a classical topic of geometry. However, in m...
AbstractRegular incidence-polytopes are combinatorial generalizations of regular polyhedra. Certain ...
AbstractA regular figure (which includes all regular polygons) is a set of points on a hypersphere w...
The diploma paper presents the history of regular polyhedrons, typological properties, area and volu...
A crystallization of a closed connected PL manifold M is a special edge-colored graph representing M...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
This book explains the structure of the nine regular solids, including the tetrahedron, cube, octahe...
Abstract. Regular polygonal complexes in euclidean 3-space E3 are discrete polyhedra-like structures...
1We cover the fundamentals of plane hyperbolic geometry and describe a method to generate hyperbolic...
We extend the definition of regular star polygons and other regular star polygrams to be drawn withi...
Complex groups generated by involutory reflexions arise naturally in the modern theory of abstract r...