I’ve chosen a pattern from an Islamic geometric design as inspiration to get started for this tessellation. Looking at the photo, we can see four mirrors intersecting at ninety degrees to form a box. In the centre, a four way rotation point. Those kites have bilateral symmetry. They are tied together, head to head, tail to tail, and their elbows touch at the four way rotation point. This is a common layout found in P4g symmetry system. A bit rigid for my taste, but an easy one to accomplish.
Cycle through the images below to view the process of refining a few basic lines, the kite from above, into a more complex tessellation.
2019-01-20; Found the original tile from the Alhambra.
Also spotted, a beautiful et vase from Paula Diaz-Sylvester. The same P4g kites, head to head, toe to toe, elbow to elbow.