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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

2 votes
2 answers
143 views

Intersection of segments on a plane

Given a set A composed by six non collinear distinct points on the plane, let us consider only the partitions whose elements are pairs of points in A. Then, we call the set of such partitions by P(A). …
Francesco Ciardiello's user avatar
2 votes
1 answer
144 views

Intersection of segments in $\mathbf{R}^{k}$

Let $A$ be a set composed by an even number $n$ of distinct points in $\mathbf{R}^{k}$, such that any 3 points in $A$ are non-collinear in $\mathbf{R}^{k}$. Let us consider the set $P_{2}(A)$ of parti …
Francesco Ciardiello's user avatar