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What does polytopes mean?

Updated: 9/17/2019
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Q: What does polytopes mean?
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What has the author Corrado De Concini written?

Corrado De Concini has written: 'Topics in hyperplane arrangements, polytopes and box-splines' -- subject(s): Combinatorial geometry, Approximation theory, Partitions (Mathematics), Hyperspace, Polytopes 'Hodge algebras'


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Number of sides of a hypercube depends on the level. A point is a hypercube of dimension zero. If one moves this point one unit length, it will sweep out a line segment, which is a unit hypercube of dimension one. If one moves this line segment its length in a perpendicular direction from itself; it sweeps out a two-dimensional square. If one moves the square one unit length in the direction perpendicular to the plane it lies on, it will generate a three-dimensional cube. This can be generalized to any number of dimensions. For example, if one moves the cube one unit length into the fourth dimension, it generates a 4-dimensional unit hypercube (a unit tesseract). You can research polytopes for many examples.


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