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Sections of simplices
We show that for ⌊ d /2⌋ ≤ k ≤ d , the relative interior of every k ‐face of a d ‐simplex Δ d can be intersected by a 2( d − k )‐dimensional affine flat. Bezdek, Bisztriczky, and Connelly′s results [2] show that the condition k ≥ ⌊ …