An interesting thing happens when you then fold over the available flaps created by those two twists.
I have a basic crease pattern below. The inner hexes are valleys. They outer hexes are mountains.
Rhombuses shoot off from that. They are mountains.
Triangle twists create the transitions between. They are valleys.
All the images are of the same tessellation. Respectively... front then back with back light and flash on the camera. Then back and front with back light and no flash. Last is the hand drawn crease pattern.
It's a fairly simple fold that yields a very nice final result.