sentences:  The dual of a 5-cube is the 5-orthoplex, of the infinite family of orthoplexes.Applying an "alternation" operation, deleting alternating vertices of the 5-cube, creates another uniform 5-polytope, called a 5-demicube, which is also part of an infinite family called the demihypercubes.The 5-cube can be seen as an "order-3 tesseractic honeycomb" on a 4-sphere.