Drawing Polymorphic Tessellations

Some polygons will periodically tile a plane (tessellate) in more than one way.  An example is the 30º 60º rhomb shown below.

By modifying their sides you can easily convert these polygons to representational images (e.g., animal figures). But if you want them to continue to tessellate in more than one way, the sides must be modified using symmetrical j-curves that can fit together in more than one way.   Here is an illustration of how two dimorphic tiles were made:

Note that (1) the underlying polygon is one that naturally tessellates in more than one way and (2) that where a side of that polygon was modified, it was done with a j-curve that symmetrically bisected that side.

If the finished tiles appear rather crude, it is because of the need to divide their sides symmetrically.   Polymorphic representational tilings are difficult to make pretty.