2²⁰ steps of one of the six regions of a semihex grazing the point 1+i√3/2 (which I mistook for a vertex), crab megastep <http://gosper.org/crabmega.png>. This chain is the (closed loop) image of the (short) interval [13/40, 53/160]. Both endpoints map continuously to the tip of its tail. The other four tail tip preimages are 21/80, 43/160, 77/160, and 39/80. (Only three of the grazing regions have this shape.) I can still only find sextuple points by brute force guessing, until Julian mercifully creates his inversesemihex magic. Only the vertices of the texture represent visited points. The line segments just indicate order of visitation. But the "curve" solidly fills in the *all* the points in there, a dense subset of them six times over, where ever-smaller crab tails congregate. Such are the fairy tales logically coerced by belief in the continuum. —rwg