So there are two strings of 9 resistors in each decade, are they in parallel or is one end of each string floating?
Yes, that's correct, 2 strings of nine 1k resistors (one end floating) in the first decade, with the second decade having a total resistance of 1k (assuming the next decade is also present...and the following one). If you opened the connections between two decades then you would get open circuit. The final decade is just 10 resistors with a single wiper, straight potentiometer (as with a KVD)
It does seem a huge overkill over Kelvin Varley - very good for showing off your resistor construction and matching capabilities
. I can't work out if the extra complexity adds any benefit over KVD. I suppose it makes the switches (big stud ones like the General Radio) a little simpler - They still have two wipers but they are on opposite sides (one for each resistor chain) rather than having to be staggered two studs apart on the same chain, but that isn't sufficient reason.
EDIT: Actually I lie (haven't had it apart for a while). The Final decade is also two chains of 9 resistors, with the two wipers connected together as the tap. Now that's taking things to extremes!
I'll post photos.