Volume of convex hull of two bodies and related problems
\'Akos G.Horv\'ath
TL;DR
This paper explores the volume of the convex hull formed by two connecting bodies, reviewing historical context, existing results, methods, and open problems in this area of geometric analysis.
Contribution
It compiles and discusses results, methods, and open questions related to the volume of convex hulls of two bodies, providing a comprehensive overview of the topic.
Findings
Summary of historical developments in convex hull volume problems
Collection of known results and methods in the field
Identification of open problems for future research
Abstract
In this paper we deal with problems concerning the volume of the convex hull of two "connecting" bodies. After a historical background we collect some results, methods and open problems, respectively.
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