geometorialla
Geometorialla is a theoretical construct in geometry used to study the relationship between geometric size and the combinatorial structure of point configurations. It is defined for finite sets of points in Euclidean space and is intended to be a scalar invariant that reflects both spatial spread and the richness of possible triangulations of the configuration.
Definition and construction. For a finite point set S in R^d in general position, let C be
Properties. G(S) is designed to be invariant under rigid motions of space and to scale predictably under
Relation to existing concepts. Geometorialla connects convex hull theory, triangulation counts, and geometric invariants. It relates
History and usage. The concept is a hypothetical construction discussed in exploratory works on geometric complexity