Abstract
We prove that, for the regularn-simplex, the 1-codimensional central slices with greatest volume are exactly those slices which containn−1 of the vertices.
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References
Ball, K. M.: Cube slicing inR n,Proc. Amer. Math. Soc. 97(3) (1986), 465–473.
Ball, K. M.: Volumes of sections of cubes and related problems,Geometric Aspects of Functional Analysis, Israel Seminar 1987–88, Springer-Verlag, New York, 1976, pp. 251–260.
Ball, K. M.: Ellipsoids of maximal volume in convex bodies,Geom. Dedicata 41 (1992), 241–250.
Hensley, D.: Slicing the cube inR n and probability,Proc. Amer. Math. Soc. 73(1) (1979), 95–100.
Pisier, G.:The Volume of Convex Bodies and Banach Space Geometry, Cambridge University Press, Cambridge, 1989 pp. 3–4.
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Webb, S. Central slices of the regular simplex. Geom Dedicata 61, 19–28 (1996). https://doi.org/10.1007/BF00149416
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DOI: https://doi.org/10.1007/BF00149416