RED-MAT

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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