How to find intersection of higher dimensional convex hull?

Asked May 08 '20 at 20:21

Active May 09 '20 at 01:14

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I have often used ConvexHullMesh to obtain a convex hull for 2-d and 3-d points. But when I try to find it for 4-D points I encounter error even for simple cases.

ConvexHullMesh[{0,0,0,0},{0,0,0,1},{0,0,1,0},{0,1,0,0},{1,0,0,0}]

The above code gives no result. Is there any way to construct 4-d and higher dimensional convex hull in Mathematica itself using external packages? My main purpose is to check whether there is an intersection among several higher dimension convex hulls. Will RegionIntersection work for 4-d cases as well?

edited May 09 '20 at 01:14

J. M.'s missing motivation

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asked May 08 '20 at 20:21

Epsilon

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Perhaps something in this prior MSE thread will be useful. – Daniel Lichtblau May 08 '20 at 21:07
Thanks. I read it before. But do you know whether using qhull it is possible to find intersections of several convex hulls? – Epsilon May 08 '20 at 21:09
That I do not know. – Daniel Lichtblau May 08 '20 at 21:12

How to find intersection of higher dimensional convex hull?

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