We’ve been talking a lot in the Origami Tessellations group on Flickr about “flagstone” tessellations, so named by Joel Cooper for their distinctive look. They are a favorite of his, and since his work is where we were introduced to the concept, the name seems quite appropriate.
There’s a lot of weird folding voodoo that goes on with these folds, which we’ve all been trying to figure out and explain; some of us much better than others- Peter, Lorenzo, and Jorge having more luck here due to their mathematical orientation.
I’ve noticed a strange correlation between iso-area folds and the “flagstone” process, and in trying to understand it I started folding a simple, offset iso-area square twist (seen in the picture above). However, since I’m folding with elephant hide, it has a very nice sculptural quality to it, and makes some very nice curved shapes. So I “froze” the squashing process half way, making these rather interesting 3d puffs. I like the way it introduces a curving element to the angled pleats, and really does resemble a tiling of airplane propellers. This probably deserves to be given a larger treatment at another point in time.
The reverse side looks like this: