An even more goofy tiling can be devised in 3D hyperbolic space by combining Penrose's idea with Goucher's "lego" idea. One such tile Euclideanly would look like a brick with a halfsize lattice of depressions on bottom face and full size lattice of knobbies on top face (twist angles and magic sizes for knobbie & indent lattices chosen by now-usual magic diophantine conditions) and appropriate decorations on the side faces. Then the tiling is by 2D layers, each twisted and euclideanly-scaled 2X with respect to preceding layer. Further, by combining Goucher lego idea as hexified by me using Eisenstein integers, Socular-Taylor disconnected 2D Einstein idea with Goucherian helical tentacle connection, and Penrose (Goucher has discussed this except for the Penrose part) the 2D layers each can be made aperiodic. In conclusion, I hope this post has set a new record for buzzword density.