The documentation says that RegionIntersection is not implemented for MeshRegion objects embedded in 3D. But I have one such region and would like to slice it with xy, yz, and xz planes, and I can't figure out how.

Here are two example inputs regions:

r1 = RegionBoundary@ConvexHullMesh[RandomReal[{-1, 1}, {200, 3}]]
r2 = InfinitePlane[{{1, 0, 0}, {1, 1, 1}, {0, 0, 1}}]

and this is what I've tried that fails:

enter image description here


1 Answer 1


You can intersect 3D primitives separately:

Show[r1, Graphics3D[
  DeleteCases[RegionIntersection[r2, #] & /@ MeshPrimitives[r1, 2], _EmptyRegion]]]

enter image description here

The intersection is a set of lines since r1 is a boundary region.

  • $\begingroup$ I tried this on my machine running version 10.2 and it did not work. However after updating to 10.3 it did. $\endgroup$ Feb 11, 2016 at 15:31

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