科研之友
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摘要
We answer a problem posed recently by Knuth: an n-dimensional box, with edges lying on the positive coordinate axes and generic edge lengths W(1) < W(2) < ... < W(n), is dissected into n! pieces along the planes x(i) = x(j). We describe which pieces have the same volume, and show that there are C(n) distinct volumes, where C(n) denotes the nth Catalan number.
- 出版日期2010-7
