Doubly Semiequivelar Maps on Torus and Klein Bottle
Joint Authors
Tiwari, Anand K.
Tripathi, Amit
Singh, Yogendra
Gupta, Punam
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A tiling of the Euclidean plane, by regular polygons, is called 2-uniform tiling if it has two orbits of vertices under the action of its symmetry group.
There are 20 distinct 2-uniform tilings of the plane.
Plane being the universal cover of torus and Klein bottle, it is natural to ask about the exploration of maps on these two surfaces corresponding to the 2-uniform tilings.
We call such maps as doubly semiequivelar maps.
In the present study, we compute and classify (up to isomorphism) doubly semiequivelar maps on torus and Klein bottle.
This classification of semiequivelar maps is useful in classifying a category of symmetrical maps which have two orbits of vertices, named as 2-uniform maps.
American Psychological Association (APA)
Tiwari, Anand K.& Tripathi, Amit& Singh, Yogendra& Gupta, Punam. 2020. Doubly Semiequivelar Maps on Torus and Klein Bottle. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188086
Modern Language Association (MLA)
Tiwari, Anand K.…[et al.]. Doubly Semiequivelar Maps on Torus and Klein Bottle. Journal of Mathematics No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1188086
American Medical Association (AMA)
Tiwari, Anand K.& Tripathi, Amit& Singh, Yogendra& Gupta, Punam. Doubly Semiequivelar Maps on Torus and Klein Bottle. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188086