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Simple Inequalities in the Unit Cube
The permuted inequalities , , etc. split the unit cube into six congruent right-angled tetrahedra (called "orthoschemes"). In 2D there are two right-angled triangles, corresponding to and ; in 4D there are 24 simplices corresponding to , etc.




"Simple Inequalities in the Unit Cube" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/SimpleInequalitiesInTheUnitCube/
Contributed by: George Beck
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