The Gosper curve is a well-known space-filling curve. It sports a dual form called a flowsnake which sequentially visits every hexagon of an infinite lattice with no jumps or crossovers, reminiscent of the Hilbert curve on the Cartesian (square) grid. Counting along the curve is a little slippery (it is a snake after all!) but we’ll show how counting in negative base 7 with an unbalanced set of signed digits (=, -, 0, 1, 2, 3, 4) makes it easy to convert back and forth between arbitrary poi...
