**Tim Lexen has a created a family of
'triangles' with curved sides that he calls ***tricurves*. What
makes tricurves visually and mathematically interesting is their
abundant variety and the fact that all sides have the same curvature
thus providing an opportunity for various tessellations. There are
magnificent mosaics, or tilings, if you prefer, that continue to amaze
us.

Other types of tricurves, such as those derived from the Reuleaux
triangle and deltoid, will also tessellate, albeit in groups of four
tiles. Tessellation with fewer than four different tiles has not yet
been demonstrated and is open for discovery.

**A proof
could be very
interesting!**