alexa Balanced Folding Over a Polygon and Euler Numbers
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
Open Access

OMICS International organises 3000+ Global Conferenceseries Events every year across USA, Europe & Asia with support from 1000 more scientific Societies and Publishes 700+ Open Access Journals which contains over 50000 eminent personalities, reputed scientists as editorial board members.

Open Access Journals gaining more Readers and Citations

700 Journals and 15,000,000 Readers Each Journal is getting 25,000+ Readers

This Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)

Research Article

Balanced Folding Over a Polygon and Euler Numbers

EL-Kholy E* and El-Sharkawey E

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

*Corresponding Author:
EL-Kholy E
Department of Mathematics
Faculty of Science
Tanta University
Tanta, Egypt
Tel: +20403344352
E-mail: [email protected]

Received Date: March 23, 2016; Accepted Date: April 06, 2016; Published Date: April 12, 2016

Citation: EL-Kholy E, El-Sharkawey E (2016) Balanced Folding Over a Polygon and Euler Numbers. J Appl Computat Math 5:296. doi:10.4172/2168-9679.1000296

Copyright: © 2016 EL-Kholy E, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.



In this paper we introduced a new folding over a polygon we called it balanced folding, then we proved that for a balanced folding of a simply connected surface M there is a subgroup of the group of all homeomorphisms of M that acts 1-transitively on the 2-cells of M. Also we explored the relationship between balanced folding and covering spaces. Finally we obtained a general relation of the Euler number of surfaces which may balance folded over a polygon and we also listed all the possibilities if M is a sphere balanced folded over a triangle and we gave the subgroup mentioned above in each case.


Share This Page

Additional Info

Loading Please wait..
Peer Reviewed Journals
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version