Abstract

We construct elliptic $(3r_s,s{r}_3)$ configurations for all integers $r\ge s\ge 1$. This solves an open problem of Branko Grünbaum. The configurations which we build have mirror symmetry and even $D_3$ symmetry if $r$ is a multiple of $3$. The configurations are dynamic in the sense that the points can be moved along the elliptic curve in such a way that all line incidences are preserved.

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