More polytopes meeting the conjectured Hirsch bound

The still open Hirsch conjecture asserts that Δ(d,n) ≤n-d for all n > d ≥ 2 , where Δ (d,n) denotes the maximum edge-diameter of (convex) d -polytopes with n facets. This paper adds to the list of pairs (d,n) that are known to be H -sharp in the sense that Δ (d,n) ≥ n-d . In particular, it is proved that Δ(d,n)≥ n-d for all n > d ≥ 14 .