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When 3 cubes interpentrate in an optimal way they create dozens of smaller closed bounded volumes ... like M. C. Escher's Waterfall picture with the cube-3 compound. For Escher's 3 interpenetrating cube figure, what is the count of all the interior and exterior closed bounded volumes? Are there any references to an answer to this?

http://mathworld.wolfram.com/Cube3-Compound.html

Ron

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    A link to the picture would help.2012-03-05

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