That's military style box pleating.

Basically, in the original box pleat, what I call a "true" box pleat, the depth of the pleats is about the same on the right and left, with little or no overlap. This is the 4-yard box pleated kilt.

The modern military version of the box pleat uses 8 yards of cloth, and in one direction has a very shallow pleat, while the other side has a very deep pleat, like a knife pleated kilt.

In reality, it's like a knife pleated kilt with the end of the pleat turned over just a bit!

Sounds like you got a great kilt!
Aye,
Matt