Two inputs power a single block. A torch on its side is off if either input is on. Footprint 3 wide × 5 deep × 2 tall. Build it block by block in Minecraft.
NOR is the natural shape of a redstone torch attached to a block that has multiple inputs. The torch turns off as soon as any input powers the block.
A redstone torch on a block is "off" if the block is powered. Power the
block from A or B or both, and the torch extinguishes. The only time the
output is high is when neither input is high — which is exactly
NOR: ¬(A ∨ B).
With one input, NOR is just a NOT. That's why a single-torch-on-block is the building block of almost every redstone circuit.