Hypercube

Take a dot (zero dimensional object) and move it any direction.

Result is a straight line - called the 1-cube.

Take a straight line (one dimensional object) and move it, the same distance, in a direction orthogonal to the first direction.

Result is a square - called the 2-cube.

Take a square (two dimensional object) and move it, the same distance, in a direction orthogonal to both the first two directions.

Result is a cube - called the 3-cube.

Take a cube (three dimensional object) and move it, the same distance, in a direction orthogonal to all the other directions !!!

Result a Tesseract - called the 4-cube.

and so on ...

This procedure results, at each stage, in the hypercube for that dimension or n-dimensional hypercube or n-cube.

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