  Traditionally, knot theorists have considered projections of knots where
there are two strands meeting at every crossing. A triple crossing is a
crossing where three strands meet at a single point, such that each strand
bisects the crossing. In this paper we find a relationship between the triple
crossing number and the double crossing braid index, namely $\beta_2(L) \le
c_3(L) + 1$. We find an infinite family of knots that achieve equality, which
allows us to determine both the double crossing braid index and the triple
crossing number of these knots.
