For this fractal, of dimension = log_5(9), it's not immediately obvious to me that it is a simple closed curve. Each of the finite stages that approach the limit is indeed a simple closed curve, but it seems possible that the limiting process might lead to some self-identification. I'd probably lean towards betting that it's *not* a simple closed curve. Anyone know the answer? --Dan RWG wrote: << b) What is the dimension of the boundary of the 2D quincunx fractal, the fixed point of surrounding one by four in a square, then dividing by 2+i?

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_____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele