1 citations · 1 across the 4 of their papers we have counts for
7 papers
A Characterization of the sphere and a body of revolution by means of Larman points
María Angeles Alfonseca, Michelle Cordier, Jesús Jerónimo-Castro +1
Let , , be a convex body. A point the interior of is said to be a Larman point of if for every hyperplane passing through the se…
Searching for Point Locations using Lines
Michelle Cordier, Meaghan Wheeler
Versions of the following problem appear in several topics such as Gamma Knife radiosurgery, studying objects with the X-ray transform, the 3SUM problem, and the -linear degener…
Characterizations of generalized convex bodies of revolution
María Angeles Alfonseca, Michelle Cordier, Efrén Morales Amaya +1
In this work we prove that either a sequence of axes of symmetry or a sequence of hyperplanes of symmetry of a convex body in the Euclidean space , are enough to guar…
Uniqueness Results for Bodies of Constant Width in the Hyperbolic Plane
M. Angeles Alfonseca, Michelle Cordier, Dan I. Florentin
Following Santaló's approach, we prove several characterizations of a disc among bodies of constant width, constant projections lengths, or constant section lengths on given famili…
On bodies in with directly congruent projections or sections
M. Angeles Alfonseca, Michelle Cordier, Dmitry Ryabogin
Let and be two convex bodies in with countably many diameters, such that their projections onto all dimensional subspaces containing one fixed diameter…
Counterexamples Related to Rotations of Shadows of Convex Bodies
M. Angeles Alfonseca, Michelle Cordier
We construct examples of two convex bodies in , such that every projection of onto a -dimensional subspace can be rotated to be contained in the corr…
On bodies with directly congruent projections and sections
M. Angeles Alfonseca, Michelle Cordier, Dmitry Ryabogin
Let and be two convex bodies in , such that their projections onto all -dimensional subspaces are directly congruent. We prove that if the set of diameter…