The following two charts visualize Collatz paths. Surprisingly interesting patterns emerge. The charts are independently scrollable.
The upper chart plots Collatz paths on a log scale. Each path starts from the integer shown in the top left corner of the chart, and continues until 1 is reached; at which point, the next path is plotted.
As paths are completed, their lengths are plotted on the lower chart. The resulting image begins as two "forks" at the left end of the chart, and evolves into widening radial arcs. Intensity (on a gray scale) shows how far each path wanders from its start point, as a multiple of the initial value.