I found this: https://sedgewick.io/wp-content/themes/sedgewick/papers/1975...
Basically a longer book on Quicksort with a lot more analysis.
He doesn't discuss any partitioning methods that do not move two indices toward each other from opposite ends of the subarray. It's not even on the table.
Though it'd be more visually and intuitively accurate if the lines started large and cut in half each step. :P