Geodesic
Zeroing the baseball indicator and the chirality of triples
Journal of integer sequences, Tome 7 (2004) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a7/}
}
TY  - JOUR
AU  - Simons, Christopher S.
AU  - Wright, Marcus
TI  - Zeroing the baseball indicator and the chirality of triples
JO  - Journal of integer sequences
PY  - 2004
VL  - 7
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a7/
LA  - en
ID  - JIS_2004__7_1_a7
ER  - 
%0 Journal Article
%A Simons, Christopher S.
%A Wright, Marcus
%T Zeroing the baseball indicator and the chirality of triples
%J Journal of integer sequences
%D 2004
%V 7
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a7/
%G en
%F JIS_2004__7_1_a7
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/