This is an elegant solution with a lot of good properties: Equal population balancing, politically unbiased, reasonably understandable by the layman, typically geographically compact districts. But where's the discussion of the desirable and undesirable properties in a districting algorithm and how this algorithm achieves or doesn't achieve these properties?
specialist already mentioned maximal competetiveness, ROFISH mentioned clustering due to natural features. Is regional or ethnic representation important, or is it an undesirable bias? How about travel distance (either for voters or campaigners)? I'm sure you guys can think of others you'd like to see or to avoid. Feel free to suggest some, I'm curious.
There is a little more information at http://rangevoting.org/SplitLR.html but did I miss the real weighing of the tradeoffs and advocacy for this particular method above all others?
Edit: Found a discussion of the theoretical issues at http://rangevoting.org/TheorDistrict.html which touches on some, but not all of the points raised.