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
Z
n, where
n
≡
1 or
30.3em
(
mod0.3em
8
)
,0.33em
n
≥
11, admits a strong Skolem starter and constructed these starters of all admissible orders
11
≤
n
≤
57. 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.
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