Cameron Strachan

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20202026

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3 papers · 1 filter

math.CO2022

Vertex Classification of Planar C-polygons

Illya Ivanov, Cameron Strachan

Given a convex domain $C$ , a $C$ -polygon is an intersection of $n \geq 2$ homothets of $C$ . If the homothets are translates of $C$ then we call the intersection a translative $C$ -po…

math.GT2022

The Number of Singularities in the Intersections of Convex Planar Translates

Cameron Strachan

This purpose of this paper is to prove the following result: let phi be a strictly convex, smooth, convex body in the Euclidean plane, if the intersection of n translates of phi ha…

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…