  In Part II of this work, we construct crystallized polyiamonds with $h$ holes
for every $h\ge1$, that is polyiamonds which use the fewest possible tiles
necessary to enclose $h$ holes. Furthermore, we prove that crystallized
polyiamonds satisfy a set of structural conditions, and for every $h\ge 3$
there are multiple distinct crystallized polyiamonds with $h$ holes.
