For future nanoelectromechanical signalling devices, it is vital to understand how toconnect various nanostructures. Since boron nitride nanostructures are believed to begood electronic materials, in this paper we elucidate the classification of defectgeometries for combining boron nitride structures. Specifically, we determinepossible joining structures between a boron nitride nanotube and a flat sheet ofhexagonal boron nitride. Firstly, we determine the appropriate defect configurations onwhich the tube can be connected, given that the energetically favourable rings forboron nitride structures are rings with an even number of sides. A new formulaE = 6+2J relating the number ofedges E and the numberof joining positions J is established for each defect, and the number of possible distinct defects is related to theso-called necklace and bracelet problems of combinatorial theory. Two least squaresapproaches, which involve variation in bond length and variation in bond angle, areemployed to determine the perpendicular connection of both zigzag and armchair boronnitride nanotubes with a boron nitride sheet. Here, three boron nitride tubes, which are (3,3), (6, 0) and (9, 0) tubes, are joined with the sheet, and Euler’s theorem is used to verifygeometrically that the connected structures are sound, and their relationship withthe bonded potential energy function approach is discussed. For zigzag tubes(n,0), it is proved that such connections investigated here are possible only forn divisible by 3.