Imagine if you twist the two batteries and you change the input, -+ is 1 +- is 0.
this gate is (from the left top pole on the 2d schematic, the right side (-) of the bottom right battery.) ->
...01
0.10
1.01
its an and+nor gate.
and its a useful one too!
It actually requires no diode, just a cross connection, but the diode is in there just to constantly power a side on (+) with the deactivation side off (0 volts), just for kicks. the left side is inactive on the gate because its a rejector, the right is constantly on in any combination so its not needed.
I traced this diagram then I slapped myself on the forehead when i realized you just wind the batteries in recharge mode!
To get and and nor by themselves you just compare to a constant source of - and +, and then you do the bipolar gate again and you get nand and or.