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The Tesseract – a 4-dimensional cube

Hypercube is a multidimensional analogue of a 3-dimensional cube in that each coordinate of a point in a hypercube is restricted to the same 1-dimensional (line) segment. Tesseract is a 4-dimensional hypercube. In anticipation of MAM 2000, a remark by A. K. Dewdney served an additional reason to write about the tesseract. Wrote he, “Dimensions seem to creep up in everywhere as HYPERCUBE is written.” Dewdney was referring to matrices (2-dimensional objects) and vectors (1-dimensional objects) that are part of any modern computer language. They are also handy in describing and manipulating multidimensional objects. It’s a tribute to these mathematical notations that they make a CUBE variant of the program virtually indistinguishable from its HYPERCUBE analogue