The Natural Philosopher wrote:

And by stacking the sockets on top of one another to fill the regulation
space between 450mm and 1.2m or whatever it is, I reckon you could get
about 10,0000 sockets on a ring.

Be practical! If you actually want to wire them up you will need a
finite length of cable between sockets. Let's say 200 mm between
doubles. Then allow one metre at each end to connect to the dis-board.
Then, observing the 84 m length limit, you could have (84-2)/0.2 + 1 =
411 double sockets - a far more reasonable number.

Now the practicalities of testing such a circuit. High continuity test
resistance reading - oh dear, which socket has a loose terminal screw...

--
Andy