I devised a "perfect" tile from the superellipsoid a while back- here is the
code snippet:

#declare Ceramic = difference {
  superellipsoid {<2,.08> pigment {Tan}}
  box{<-1,-1,-.9>,1.1 pigment {Tan}}
  rotate 45*z scale 0.710
  finish {specular 1 phong 1 reflection .3}
  normal {dents frequency 3 scale <.3,.3,1>}
}

(end of code snippet)

    Here is how the finished tiles look- note the precise geometry.  Add your
grout as needed, change the color as you wish.

Cheers!

Chip Shults
My robotics, space and CGI web page - http://home.cfl.rr.com/aichip

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