A metrical characterization of symmetric polytopes

Research paper by Paul Filliman

Indexed on: 01 Apr '89Published on: 01 Apr '89Published in: Geometriae Dedicata


A family of symmetric projections of polytopes inR2n toRn was given in [10]. By determining the invariantn-vectors of the induced action of these symmetry groups on the exterior algebra ΛnR2n, we show that the symmetric projections have the greatest volume among projections with the same combinatorial type.