1 citations · 1 across the 3 of their papers we have counts for
5 papers
Proper locally spherical hypertopes of hyperbolic type
Antonio Montero, Asia Ivić Weiss
Given any irreducible Coxeter group of hyperbolic type with non-linear diagram and rank at least , whose maximal parabolic subgroups are finite, we construct an infinite fam…
Locally spherical hypertopes from generlised cubes
Antonio Montero, Asia Ivić Weiss
We show that every non-degenerate regular polytope can be used to construct a thin, residually-connected, chamber-transitive incidence geometry, i.e. a regular hypertope, with a ta…
Skeletal Geometric Complexes and Their Symmetries
Egon Schulte, Asia Ivić Weiss
Skeletal polyhedra and polygonal complexes are finite or infinite periodic structures in 3-space with interesting geometric, combinatorial, and algebraic properties. These structur…
Highly symmetric hypertopes
Maria Elisa Fernandes, Dimitri Leemans, Asia Ivić Weiss
We study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the poly…
Chirality in incidence geometry
Maria Elisa Fernandes, Dimitri Leemans, Asia Ivić Weiss
Guided by the ideas of chirality in the abstract polytope theory, the present paper aims to extend the concept to a more general setting of incidence geometries. The purpose of thi…