alexa Folding a surface to a polygon


Journal of Applied & Computational Mathematics

Author(s): H R Farran

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A concept of folding for compact connected surfaces, involving the partition of the surface into combinatorially identical n-sided topological polygons, is defined. The existence of such foldings for given n and given surfaces is explored, with definitive results for the sphere and the torus. We obtain necessary conditions for the existence of such foldings in all other cases.

This article was published in Geometriae Dedicata and referenced in Journal of Applied & Computational Mathematics

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