hy·per·cube (h??p?r-kyo?ob?)n.1. Any of a set of objects resulting from the generalization of a two-dimensional square and a three-dimensional cube to n dimensions. A hypercube has 2n corners, each of which is connected to its n nearest adjacent corners by edges that all have the same length.2. A network whose nodes have the connectivity of such an object.American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.hypercube (?ha?p??kju?b) n (Mathematics) maths a figure in a space of four or more dimensions having all its sides equal and all its angles right anglesCollins English Dictionary ? Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014