Note on packings in Grassmannian space \(G(3,1)\) (Q1265816)

The packings are those of \(2N\) non-overlapping equal circles of the largest diameter on the sphere \(S^2\) with the condition that all circles form antipodal pairs. (In the Tammes problem there is no central symmetry constraint.) In this note some unnoticed putative solutions to this problem are mentioned (particularly those given by \textit{J. H. Conway}, \textit{R. H. Hardin} and \textit{N. J. A. Sloane} [Exp. Math. 5, No. 2, 139-159 (1996; Zbl 0864.51012)]. Also there are remarks on the Danzerian rigidity of the graphs of locally optimal antipodal packings.