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The Cayley trick and triangulations of products of simplices

The Cayley trick and triangulations of products of simplices

We use the Cayley Trick to study polyhedral subdivisions of the product of two simplices.For arbitrary (fixed) l ≥ 2, we show that the numbers of regular and non-regular triangulations of ∆ l × ∆ k grow, respectively, as k Θ(k) and 2 Ω(k 2 ) .For the special case …