A regular surface is a closed genus g surface defined as the tubular neighbourhood of the edge graph of a regular map. A regular map is a family of disc type polygons glued together to form a 2-manifold which is flag transitive. The visualization of this highly symmetric surface is an intriguing and challenging problem. Unlike regular maps, regular surfaces can always be visualized as 3D embeddings. In this paper, we introduce an algorithm to visualize the regular surface formed around the tubular neighborhood of a regular map. Our algorithm takes as input the symmetry group of a regular map and outputs a 3D realization of its regular surface. This surface can be interactively modified and used as a target shape for other regular maps. As a...
This paper concerns pinched surfaces, also known as pseudosurfaces. A map is a graph G embedded on a...
In this thesis we use triangle groups and their subgroups to investigate properties of hypermaps. Th...
Regularity has often been present in the form of regular polyhedra or tessellations; classical examp...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a family of equivalent polygons, glued together to form a closed surface without bo...
Preface Regular maps and hypermaps are cellular decompositions of closed sur-faces exhibiting the hi...
This paper concerns pinched surfaces, also known as pseudosurfaces. A map is a graph G embedded on a...
In this thesis we use triangle groups and their subgroups to investigate properties of hypermaps. Th...
Regularity has often been present in the form of regular polyhedra or tessellations; classical examp...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a tiling of a closed surface into faces, bounded by edges that join pairs of vertic...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a symmetric tiling of a closed surface, in the sense that all faces, vertices, and ...
A regular map is a family of equivalent polygons, glued together to form a closed surface without bo...
Preface Regular maps and hypermaps are cellular decompositions of closed sur-faces exhibiting the hi...
This paper concerns pinched surfaces, also known as pseudosurfaces. A map is a graph G embedded on a...
In this thesis we use triangle groups and their subgroups to investigate properties of hypermaps. Th...
Regularity has often been present in the form of regular polyhedra or tessellations; classical examp...