4 papers
A class of maps on the torus and their vertex orbits
Marbarisha M. Kharkongor, Dipendu Maity
A tiling (edge-to-edge) of the plane is a family of tiles that cover the plane without gaps or overlaps. Vertex figure of a vertex in a tiling to be the union of all edges incident…
Maximum Number of Non-Intersecting Diagonals in Square Arrays
Marbarisha M. Kharkongor, Joseph Varghese Kureethara
In this paper, we derive a formula to express the maximum number of non-intersecting diagonals of arbitrary length that can be drawn in n x n square arrays, where n is a multiple o…
Dihedral and cyclic symmetric maps on surfaces
Marbarisha M. Kharkongor, Debashis Bhowmik, Dipendu Maity
If the face\mbox{-}cycles at all the vertices in a map are of the same type, then the map is said to be a semi-equivelar map. Automorphism (symmetry) of a map can be thought of as…
Quotient maps of 2,3-uniform tilings of the plane on the torus
Dipendu Maity, Debashis Bhowmik, Marbarisha M. Kharkongor
A 2-uniform tiling is an edge-to-edge tiling by regular polygons having distinct transitivity classes of vertices. There are 20 distinct 2-uniform tilings (these are of di…