I have a couple dozen neodymium magnets (disc and cigarrette shape). When I experiment with them, I notice that two bar-shapes make one long bar magnet when I join them end-to-end. The result is a north pole and a south pole, both of which are very strong. Each magnet's center region is non-magnetic as usual. However the join between them keeps its magnetism.
I've also tried joining several disc-shapes end-to-end. The result is a north pole and a south pole, both of which are very strong. However it is not possible to detect magnetism in any middle region.