2 papers
math.MG2022
Illuminating spiky balls and cap bodies
Károly Bezdek, Ilya Ivanov, Cameron Strachan
The convex hull of a ball with an exterior point is called a spike (or cap). A union of finitely many spikes of a ball is called a spiky ball. If a spiky ball is convex, then we ca…
math.MG2020
On the illumination of centrally symmetric cap bodies in small dimensions
Ilya Ivanov, Cameron Strachan
The illumination number of a convex body in Euclidean space is the smallest number of directions that completely illuminate the boundary of a convex body.…