I don't understand why the author chose to kink the subways to preserve the same orientation in each satellite. Those corners are going to slow down trains and impose more wear, which means more failures. It also adds a huge amount of track (and associated road crossings, safety infrastructure, maintenance personnel, etc.) and trip time. This plan already abandons the rectilinear grid system in favor of circular roads; I don't see a reason to preserve the rail system's north-south axis in every city.

[edit] I should mention that overall, I quite like the design. It looks to me like you've arranged the space at a livable scale and with careful attention to the work/live/play cycle of its inhabitants.