Abstract

Three parallel, non-planar lines ξ, η, and ζ are given in ordinary 3-space, and distinct points X1, X2, ..., X x are given on ξ, Y1, Y2, ..., Y y on η, and Z1, Z2, ..., Z z on ζ. Into at most how many cells do the xyz triangular plane segments X i Y j Z k divide the interior of the triangular prism determined by the lines ξ, η, and ζ?

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