A magnetic connector apparatus provides a plurality of magnetic connector bodies in various different forms for magnetic connection of two or more bodies together along mutually-confronting, longitudinally-elongated, linear peripheral border edges, each linear peripheral border edge having at least one particularly-configured longitudinally elongated, cylindrical magnet supported adjacent thereto for rotation of the magnet adjacent said peripheral edge of each connector body for orientation of the magnetic polarity of magnets of confronting connector bodies for mutual magnetic attraction along, mutually confronting, linear peripheral border edges of magnetic connector bodies.