Patchwork Quilt

Squares of the type shown are sewn together to make a quilt. How many different quilts can be made?
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Problem

Here is a square made from a yellow triangle and a white triangle:

Image
Patchwork Quilt


I want to make a patchwork pattern by joining together four of these squares to make a bigger square.

I only join together edges of the squares if they are the same colour.

How many different patchwork patterns are possible?