# Isabel Hubard: Twisted honeycombs revisited: chirality in polytope-like structures

Date of publication: 20. 4. 2023

Discrete mathematics seminar

Tuesday

25

April

Time:

10:15

Location:

Plemljev seminar, Jadranska 19

**Abstract:** In the 70´s Coxeter considered the 4-dimensional regular polytopes and used the so-called Petrie Polygons to obtain quotients of the polytopes that, while having all possible rotational symmetry, lack reflectional symmetry. He called these objects *Twisted Honeycombs*. Nowadays, objects with such symmetry properties are often called chiral. In this talk I will (quickly) review Coxeter´s twisted honeycombs and explore a natural way to extend Coxeter´s work to polytope-like structures, in particular, we shall see some properties and examples of so-called *chiral skeletal polyhedra*, and an application of them.