Figure 11. 11A (left side) is a traditional representation of the Peano curve, in which the curve is plotted at fixed intervals. 11B (right side) is an alternative representation, in which the curve is plotted at random intervals. This small change makes it more closely resemble a physical trajectory, although it is a visual manifestation of the very same mathematical object as in 11A.
Two square images side by side. The first is a multi-colored line that folds at regularly repeating 90-degree angles to form a dense pattern. The second is similarly dense and multi-colored, but here the line folds in regularly repeating sharp zig-zags.
Aiden, E. L. Construction details for the panel at right are given in Lieberman, 2010. / - (2011)