Злобный Ящур
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I have a feeling that this is related to the possibility of dissecting a polyhedron into pyramids with vertices at the center of gravity and bases as the faces of the polyhedron (if desired, the faces can be further divided into triangles, thus dissecting the polyhedron into tetrahedra). Perhaps the solid angles of the resulting pyramids or their sum are also involved. But somehow, the idea isn't developing... :(
Ничто не возникает из ничего и ничто не пропадает бесследно.
Если где-то чего-то убудет, то в другом месте добавится.
(Закон сохранения).