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A Definition of Polyhedron

par

Francis Buekenhout

Traduction par Samuel Verbiese

The definitions given here are inspired by work of Jacques
Tits between 1954 and 1962 devoted to incidence
geometries, to buildings and to their relationships with
groups, but these notions and relationships are not
supposed to be known and are not necessary for the
understanding of what follows.
The presentation seeks to remain as elementary as
possible.

The motivations are to be found in various "polyhedral talks"
performed by Edmond Dony and myself.
In my opinion, it is not presently possible to give a simpler
definition of polygons and polyhedra without being exposed
to fundamental errors.