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Questions on finding intersections of geometric objects: lines, planes, regions etc. with possible aid of ContourPlot, Interval, InfinitePlane and others.

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Computing intersections between a large number of sets: doing it sequentially vs. sending ev...

One option would be to simply run the command: Intersection[Q1, Q2, Q3, Q4, Q5, Q6, Q7, ...]; However, this seems to choke for very large numbers of input sets ($10^4$ or so with on-order $10^2$ elements … Another option would be compute Q12 = Intersection[Q1,Q2], then Q123 = Intersection[Q12,Q3], then Q1234 = Intersection[Q123,Q4], and so forth. Are these two procedures equivalent? …
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