The purpose was to put the tiger stripes, the south polar district, into global context. Other compact maps were either unable to make the polar region large enough, relative to the nether regions, or the map periphery went squirrelly.
The cut can turn on 45˚ increments, which has the effect of rotating the stripes around the pole; the lobes refocus from leading and trailing hemispheres (the posted map) to anti- and sub-Saturnian hemispheres.
A really large version is in the works. Maybe by March, knock on wood.
Here’s what the grid looks like:
For instance, here’s the projection applied to Earth (not that you need to know where is San Luis, Argentina!). Not so useful because of the longer interruption.