On existence of a regular hypersimplex inscribed into the $(4n-1)$-dimensional cube
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006) no. 1, pp. 62-72 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {A. I. Medianik},
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A. I. Medianik. On existence of a regular hypersimplex inscribed into the $(4n-1)$-dimensional cube. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006) no. 1, pp. 62-72. http://geodesic.mathdoc.fr/item/JMAG_2006_2_1_a3/

[1] A. I. Medianik, “Antipodal $n$-gons inscribed into the regular $(2n-1)$-gon and halfcirculant Hadamard matrices of order $4n$”, Mat. fiz., analiz, geom., 11 (2003), 45–66 (Russian)

[2] A. I. Medianik, “Regular simplex inscribed into a cube and Hadamard's matrix of half-circulant type”, Mat. fiz., analiz, geom., 4 (1997), 458–471 (Russian) | MR | Zbl

[3] R. Bellman, Introduction to matrix analysis, Nauka, Moscow, 1969 (Russian) | MR | Zbl

[4] I. R. Shafarevich, Foundations of algebraic geometry, Nauka, Moscow, 1972 (Russian) | MR | Zbl