KöMaL 2009 B4198
The midlines are drawn on the base of a regular tetrahedron. The midpoint of each midline is connected to the vertices of the face whose plane is parallel to the midline. Consider the volume of the intersection of the three tetrahedra obtained. What fraction of the volume of the original tetrahedron is it?
Official text KöMaL. Quoted with source.
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