the hybridization of a cassette driver on the end of a 3 speed internal gear hub,IGH from Sturmey Archer will be 3x 8, or 9 speeds depending on your cassette choice
there is the potential to put another IGH, with a sprocket attached to the hub shell ** to have a chain down to the rear hub, with the hub up sat the top of the seatstay/seat tube joint, this requires a bit of frame builder type bodging..
then the chain from the crankset , which has 3 or maybe 4 chainrings, goes up to the cog on the 2nd IGH,
which turns the 2nd hub shell cog , that chain,
which in turn turns the gears in the back wheel..
** those hubs are made to go in adult trikes, to have 3 speeds ...
1957 I got a 3 cog cluster for my AW3 IGH, and a triple crank, so 3x3x3 or 3 cubed gives 27 'speeds'.
...
Last edited by fietsbob; 09-08-17 at 01:27 PM.