Add to ORKGIn this paper we compute the chirality group, the chirality index and the smallest regular coverings of the chiral toroidal maps. We also compute the greatest regular maps covered by chiral toroidal maps.
A hypermap H is a cellular embedding of a 3-valent graph G into a closed surface which cells are 3-c...
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their ...
1 Introduction A map is an embedding of a finite connected graph into a surface (a compact real 2- d...
Although the phenomenon of chirality appears in many investigations of maps and hypermaps, no detail...
Abstract A geometric object is called reflexible or chiral as it is or is not isomorphic to its mirr...
summary:We prove that if the Walsh bipartite map $\mathcal {M}=\mathcal {W}(\mathcal {H})$ of a regu...
Programme: http://www.fields.utoronto.ca/programs/scientific/11-12/discretegeom/wksp_symmetry/Intern...
AbstractAn orientably regular hypermap is totally chiral if it and its mirror image have no non-triv...
Abstract: We review the main properties of the chiral index. Its use as an asymmetry coefficient of ...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
We prove the existence of infinitely many orientably-regular but chiral maps of every given hyperbol...
An orientably regular hypermap is totally chiral if it and its mirror image have no non-trivial comm...
Paper in free access for readers at https://rdcu.be/bzS0P (copy, download and print are for subscrib...
AbstractBy adapting the notion of a chirality group, the duality group of H can be defined as the mi...
Abstract: A definition of chirality based on group theory is presented. It is shown to be equivalen...
A hypermap H is a cellular embedding of a 3-valent graph G into a closed surface which cells are 3-c...
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their ...
1 Introduction A map is an embedding of a finite connected graph into a surface (a compact real 2- d...
Although the phenomenon of chirality appears in many investigations of maps and hypermaps, no detail...
Abstract A geometric object is called reflexible or chiral as it is or is not isomorphic to its mirr...
summary:We prove that if the Walsh bipartite map $\mathcal {M}=\mathcal {W}(\mathcal {H})$ of a regu...
Programme: http://www.fields.utoronto.ca/programs/scientific/11-12/discretegeom/wksp_symmetry/Intern...
AbstractAn orientably regular hypermap is totally chiral if it and its mirror image have no non-triv...
Abstract: We review the main properties of the chiral index. Its use as an asymmetry coefficient of ...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
We prove the existence of infinitely many orientably-regular but chiral maps of every given hyperbol...
An orientably regular hypermap is totally chiral if it and its mirror image have no non-trivial comm...
Paper in free access for readers at https://rdcu.be/bzS0P (copy, download and print are for subscrib...
AbstractBy adapting the notion of a chirality group, the duality group of H can be defined as the mi...
Abstract: A definition of chirality based on group theory is presented. It is shown to be equivalen...
A hypermap H is a cellular embedding of a 3-valent graph G into a closed surface which cells are 3-c...
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their ...
1 Introduction A map is an embedding of a finite connected graph into a surface (a compact real 2- d...