Escher Tessellation 99

This tessellation has both translational and rotational symmetry. There are centers of 3-fold rotation at the upper tip of each flying fish's left wing and the left tip of its tail. Ignoring color differences, there are centers of 6-fold rotation at the upper tip of each fish's right wing. Each of these points marks a location at which more than two fish meet. Joining these points on the same fish in cyclic order will outline an equilateral triangle. There is also a point of 2-fold rotation on each fish's contour. It marks the midpoint of a side of the parent triangle. Can you locate it?