  This paper concerns a class of combinatorial objects called Skolem starters,
and more specifically, strong Skolem starters, which are generated by Skolem
sequences.
  In 1991, Shalaby conjectured that any additive group $\mathbb{Z}_n$, where
$n\equiv1$ or $3\pmod{8},\ n\ge11$, admits a strong Skolem starter and
constructed these starters of all admissible orders $11\le n\le57$. Only
finitely many strong Skolem starters have been known to date.
  In this paper, we offer a geometrical interpretation of strong Skolem
starters and explicitly construct infinite families of them.
