4 papers
The 10 antipodal pairings of strongly involutive polyhedra
Javier Bracho, Eric Paulí Pérez, Luis Montejano +1
It is known that strongly involutive polyhedra are closely related to self-dual maps where the antipodal function acts as duality isomorphism. Such a family of polyhedra appears in…
Complex homothetic sections and projections through a Helly type Theorem for cosets of
Jorge Luis Arocha, Javier Bracho, Luis Montejano
We prove that two closed subsets of complex space $\C^n$ with corresponding complex homothetic sections (projections) are complex homothetic. The proof uses a new Helly-type theore…
Reflections of convex bodies and their sections
Jorge L. Arocha, Javier Bracho, Luis Montejano
The purpose of this paper is to study the reflections of a convex body. In particular, we are interested in orthogonal reflections of its sections that can be extended to reflectio…
Rotors in triangles and tethrahedra
Luis Montejano, Javier Bracho
A polytope is circumscribed about a convex body if and each facet of is contained in a support hyperplane of . We say that a convex…