so in view of my impossibility theorem for integer coordinates for any affined regular pentagon, I presume that means the picture by Gosper et al of a Penrose-like raster pattern, must only be approximately 5-symmetric and approximately Penrose, and presumably the approximations have something to do with the golden ratio approximations by Fibonacci ratios. I attempted to count pixels by hand, and the sizes of the mystic pentagrams appear to be 1,5,34... which are fibos, but I might easily be mis-counting. You know, it was quite difficult for Penrose to invent his tiling, but the Gosper et al computer construction is invented by accident by a moron. Except we are currently too dumb to figure out why it succeeded. -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)