# Multifaceted surface bands and some of their applications

### DOI: 10.31029/demr.8.5

The purpose of this note is to apply the results of work [1] to investigating the properties of a closed geodesic polygon lying on a complete polyhedral saddle surface with a so-called one-to-one spherical image (polyhedron surface of class $\mathcal{E}$).

Keywords: polyhedral surfaces, spherical image.

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