u/Justarandom55

Maddie's collection

This is a factory game where you combine these 4 shapes and a slot can be empty too. practically there are 5 shape pieces, circle, square, spike, windmill and empty. I was wondering how many combinations exist. I know how to calculate the total amount of combos but I'm struggling to calculate how many it would be if I allow rotation.

for example, a square with the bottom right being a spike would be considered identical to a square with the upper left being a spike