http://demonstrations.wolfram.com/CrossSectionsOfRegularPolyhedra/
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Three noncollinear points determine a plane. Fix three points on the edges of a polyhedron and visualize the corresponding cross section. For a cube, the resulting polygon can be a triangle, a quadrilateral, a pentagon, or a hexagon.
Contributed by: Oleksandr Pavlyk and Maxim Rytin
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