This pattern I recently came up with seems to have a lot of potential for square grid tessellations. I have a number of interesting patterns based on it which I hope to clean-fold and post on flickr soon.
This tessellation shares some properties of square twist and of four-sink-base tess. It has a twist and is chiral like the former but there is a square with four semi-free corners like in the latter. The molecule is 6×6 grid units (here 8×8 due to extra margin).
So far I’ve tried out two ways of collapsing. First is to actually fold a square twist tessellation and then to sink each of the edges that connect a pair of molecules. This is easier to grasp but harder to execute than the other method and it’s hard to not crumple the paper during the sink in tight quarters. The other method is to collapse the final pattern all in one step. It’s harder to understand at first, but it seems to be technically less challenging.
This design is the starting point of my Lily Pond Tessellation (they differ only by shaping).