Rhombic Star Swarm Origami Tessellation

I saw this tessellation somewhere. I can't remember where now. But I liked it enough to figure out how to fold it.

Little did I know when I started that it was a flagstone tessellation. I should've known, but I didn't find that out until I started puzzling out its construction.

. They can be a pain. And this one was.

There was a lot of pre-folding. That was 90% of the work.

After that, it was a matter of slowly coaxing all those pre-folds into their proper places. It was not an easy task. It was however, a very pleasing result.

It's a series of hexagon twists on the back of the paper. Then you go to the other side and surround them with rhombuses. Some large triangles allow everything to lay neatly together.

The gender of the folds was quite important in achieving the final collapse. Having the right valley and mountain folds was critical. The hexes had to go to the back. The rhombuses had to go to the front. The connective triangles also had to go to the back. All the rhombuses twist in the same direction. All the hexes twist in the same direction. The triangles don't really twist. They just sort of collapse as they connect the hexes and rhombuses.

It was a difficult and rewarding challenge.

When I began, I thought the hard part would be determining how to fold it. As I progressed, I realized, the actual execution of the design was the trickiest part.

A rewarding puzzle to solve. A stunning result.