Five essays on the geometry of László Fejes Tóth (Q2417589)

This is a brief survey of results on the following five problems, considered in works of László Fejes Tóth: \begin{itemize} \item[1.] the Tammes problem on circle packings; \item[2.] Fejes Tóth's problem on maximizing the minimum distance between antipodal pairs of points on the sphere; \item[3.] Fejes Tóth's problem on the maximum kissing number of packings on the sphere; \item[4.] The Fejes Tóth-Sachs problem on the one-sided kissing numbers; \item[5.] the isoperimetric problem for polyhedra. \end{itemize} For the entire collection see [Zbl 1411.52002].