Título: **
Teorema de Euler, generalizado para hipercubos n-dimensionales.
**

Autores: **
E.R. Morgado Morales
**

**Resumen**

In this paper, a generalization of the well known Euler's theorem on the
numbers of vertexes, edges and faces of any convex polyhedron, for
n-dimensional hypercubes is studied. A proof, based on combinatorial
considerations, is given. A general definition of convex n-dimensional
polytope is given and also of regular convexe polytope and of orthogonal
convex polytope, also called orthotope. The statement of the theorem for
general convex polytopes is also given and the reader is invited to see
the proof in a referenced book.

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