A new feature
"For example, how many different ways are there to do this parallelogram dissection?"
For 2n sides
n = 2, 4 sides, 1 way
n = 3, 6 sides, 2 ways (can you find the second?) - and do the 2 ways look similar?
n = 4, 8 sides, hmm, in your solution, does one of the vertices stand out in a special way? Can each vertex be made to play that role?
And how many of those dissections look like another dissection?