Geodesic
Zeroing the baseball indicator and the chirality of triples
Journal of integer sequences, Tome 7 (2004) no. 1
Starting with a common baseball umpire indicator, we consider the zeroing number for two-wheel indicators with states $(a,b)$ and three-wheel indicators with states $(a,b,c)$. Elementary number theory yields formulae for the zeroing number. The solution in the three-wheel case involves a curiously nontrivial minimization problem whose solution determines the chirality of the ordered triple $(a,b,c)$ of pairwise relatively prime numbers. We prove that chirality is in fact an invariant of the unordered triple ${a,b,c }$. We also show that the chirality of Fibonacci triples alternates between 1 and 2.
Classification : 11A99, 11B39, 11B50
Keywords: chirality, Fibonacci sequence, minimization 
@article{JIS_2004__7_1_a7,
     author = {Simons,  Christopher S. and Wright,  Marcus},
     title = {Zeroing the baseball indicator and the chirality of triples},
     journal = {Journal of integer sequences},
     year = {2004},
     volume = {7},
     number = {1},
     zbl = {1114.05300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a7/}
}
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Simons,  Christopher S.; Wright,  Marcus. Zeroing the baseball indicator and the chirality of triples. Journal of integer sequences, Tome 7 (2004) no. 1. http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a7/