Abstract
There is a constant c such that for every n ∈ ℕ, there is an N n so that for every N ≥ N n there is a polytope P in ℝ n with N vertices and vol n(B 2 n Δ P) ≤ c vol n(B 2 n) N -2/n-1 where B 2 n denotes the Euclidean unit ball of dimension n.
Original language | English (US) |
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Pages (from-to) | 1-18 |
Number of pages | 18 |
Journal | Studia Mathematica |
Volume | 173 |
Issue number | 1 |
DOIs | |
State | Published - 2006 |
Externally published | Yes |
Keywords
- Approximation by polytopes
- Convex body