Isabel Hubard (Instituto de Matemáticas-UNAM, Mexico)
Twisted honeycombs revisited
Abstract: In the 70´s Coxeter considered the 4-dimensional regular convex polytopes and used the so-called Petrie Polygons to obtain quotients of the polytopes that while having all possible rotational symmetry, lack of reflectional symmetry. He called this objects Twisted Honeycombs. Now a days, objects with such symmetry properties are often called chiral. In this talk I will review Coxeter´s twisted honeycombs and will connect them to chiral maniplexes and chiral polytopes of full rank (objects that I will define). We will also see a natural way to extend Coxeter´s work.
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