##
**
Zeroing the Baseball Indicator and the Chirality of Triples
**

###
Christopher S. Simons and Marcus Wright

Department of Mathematics

Rowan University

Glassboro, NJ 08028

USA

**Abstract:**
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.

**
Full version: pdf,
dvi,
ps,
latex
**

Received August 20 2003;
revised version received February 26 2004.
Published in *Journal of Integer Sequences* March 12 2004.

Return to
**Journal of Integer Sequences home page**