A new connecting node set that is unique and surprisingly effective at aligning interfacing holes in connecting nodes is illustrated by their application to radial tetrahedral structures. This method of connecting one node to another requires that a left handed node be connected to a right handed node. They are called left handed or right handed because their lines of interface in at least two directions of intended use are geometrically coincident with straight line rulings of a hyperboloid of revolution of one sheet which itself consists of two families of straight line rulings, designated a left handed and a right handed family respectively. With these nodes, magnets could be placed on the lines of interface (opposite placement in a left handed one from a right handed one) and thus the magnets would always attract or repel as preferred.