  This paper analyzes various questions pertaining to bootstrap percolation on
the $d$-dimensional Hamming torus where each node is open with probability $p$
and the percolation threshold is 2. For each $d'<d$ we find the critical
exponent for the event that a $d'$-dimensional subtorus becomes open and
compute the limiting value of its probability under the critical scaling. For
even $d'$, we use the Chen-Stein method to show that the number of
$d'$-dimensional subtori that become open can be approximated by a Poisson
random variable.
