Medianik, A.I.
(Журнал математической физики, анализа, геометрии, 2006)
It is proved the existence of a regular hypersimplex inscribed into the (4n-1)-dimensional cube under condition that some system of 4n-2 algebraic equations with 4n-2 unknown quantities y0, y'0, y1; y'1,..., y2n-2, y'2n-2 ...