WFredLunnon>If you're mapping a (filled) square onto a disc or whatever, why is there an extraneous solid black region at the bottom at the bottom of each drawing? Good question. I hate drawing edges as "lines", i.e. strands of darkened pixels, since the only proper drawing of a line segment is invisible. Much better is to present them as the edges of colored regions. (There was once a World Team Tennis league whose courts were multicolored rectangles instead of outlined with stripes.) So I made the point sequences into polygons. But they're all just various samplings of the Peano "curve", which doesn't close, so I needed to artificially close them. But then I needed to detour significantly downward else the closing segment would cut the figure in numerous places making spurious vertices and color reversals. --rwg "How else would you do it?"--J. von Neumann Actually, the Peano images of [1/6,1/2] and [1/6,5/6] *do* close, but they fill weird looking regions which would be painful to map onto a disk. If you can get at a Mathematica, you can easily try this. Just start the Table iterators 1/6 of the way through and stop (roughly) 5/6 of the way. All the code is there.