On a regular hypersimplex inscribed into the multidimensional cube
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006) no. 2, pp. 176-185 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. I. Medianik. On a regular hypersimplex inscribed into the multidimensional cube. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006) no. 2, pp. 176-185. http://geodesic.mathdoc.fr/item/JMAG_2006_2_2_a4/

[1] W. Ball, H. Coxeter, Mathematical Recreations and Essays, Mir, Moscow, 1986 (Russian) | MR

[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] A. I. Medianik, “Antipodal $n$-Gons Inscribed into the Regular $(2n-1)$-Gon and Half-Circulant Hadamard Matrices of Order 4n”, Mat. fiz., analiz, geom., 11 (2004), 45–66 (Russian) | MR | Zbl

[4] R. Bellman, Introduction to Matrix Analysis, Nauka, Moscow, 1969 (Russian) | MR | Zbl

[5] W. Hodge, D. Pedoe, Methods of Algebraic Geometry, Izd-vo Inostr. Lit., Moscow, 1972 (Russian)

[6] A. I. Medianik, “On Existence of a Regular Hypersimplex Inscribed into the $(4n-1)$-Dimensional Cube”, J. Math. Phys., Anal., Geom., 1 (2006), 62–72 | MR | Zbl