EL-Kholy E and El-Sharkawey E
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.
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Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report
