mountain folds / valley folds

While trying to connect modular pieces presented on a previous blog "Radiant Light Film and simple geometry," we ran into trouble and frustration - mostly frustration. This led to simplifying the geometry into a square with one diagonal mountain or valley fold.
Mountain fold is when the fold is raised up and valley fold is when the fold is pushed down.
To add a more irregular pattern, we decided to rely on chance and a coin. Head means mountain fold and tail means valley fold. After many coin tossing we ended up with these three different shapes.