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http://en.wikipedia.org/wiki/Hypercube

 

http://it.wikipedia.org/wiki/Ipercubo

0 – A POINT IS A HYPERCUBE OF DIMENSION ZERO.

1 – IF ONE MOVES THIS POINT ONE UNIT LENGTH, IT WILL SWEEP OUT A LINE SEGMENT, WHICH IS A UNIT HYPERCUBE OF DIMENSION ONE.

2 – IF ONE MOVES THIS LINE SEGMENT ITS LENGTH IN A PERPENDICULAR DIRECTION FROM ITSELF; IT SWEEPS OUT A 2-DIMENSIONAL SQUARE.

3 – IF ONE MOVES THE SQUARE ONE UNIT LENGTH IN THE DIRECTION PERPENDICULAR TO THE PLANE IT LIES ON, IT WILL GENERATE A 3-DIMENSIONAL CUBE.

4 – IF ONE MOVES THE CUBE ONE UNIT LENGTH INTO THE FOURTH DIMENSION, IT GENERATES A 4-DIMENSIONAL UNIT HYPERCUBE (A UNIT TESSERACT).

 

THIS CAN BE GENERALIZED TO ANY NUMBER OF DIMENSIONS.