Aaron Lin

collaborators

4 papers

math.CO2019

Ordinary hyperspheres and spherical curves

Aaron Lin, Konrad Swanepoel

An ordinary hypersphere of a set of points in real $d$ -space, where no $d + 1$ points lie on a $(d - 2)$ -sphere or a $(d - 2)$ -flat, is a hypersphere (including the degenerate case of a…

math.MG2018

Equilateral sets in the $ℓ_{1}$ sum of Euclidean spaces

Aaron Lin

Let $E^{n}$ denote the (real) $n$ -dimensional Euclidean space. It is not known whether an equilateral set in the $ℓ_{1}$ sum of $E^{a}$ and $E^{b}$ , denoted here as $E^{a} \oplus_{1} E^{b}$ ,…

math.CO2018

On sets defining few ordinary hyperplanes

Aaron Lin, Konrad Swanepoel

Let $P$ be a set of $n$ points in real projective $d$ -space, not all contained in a hyperplane, such that any $d$ points span a hyperplane. An ordinary hyperplane of $P$ is a hyper…

math.CO2018

Ordinary planes, coplanar quadruples, and space quartics

Aaron Lin, Konrad Swanepoel

An ordinary plane of a finite set of points in real 3-space with no three collinear is a plane intersecting the set in exactly three points. We prove a structure theorem for sets o…

Ordinary hyperspheres and spherical curves

Equilateral sets in the ℓ1​ sum of Euclidean spaces

On sets defining few ordinary hyperplanes

Ordinary planes, coplanar quadruples, and space quartics

Equilateral sets in the $ℓ_{1}$ sum of Euclidean spaces