I have a shape with some lines. Both are graphics in Mathematica.
shape = Cuboid[{0, 0, 0.5}, {0.5, 0.5, 0}]; Graphics3D[{Table[{Hue[RandomReal[]], Line[RandomReal[1, {2, 3}]]}, {100}], {Opacity[0.2], shape}}] 
I just want to determine, for each face of the cuboid, if a line has intersected it. I just need a true or false. I don't need the intersection coordinate, just whether the line has intersected or not. Note that some lines could intersect multiple faces.
I tried using the region tools in Mathematica, but since Line isn't a region, it doesn't work.
RegionIntersection[#, shape] & /@ Table[Line[RandomReal[1, {2, 3}]], {100}] I'm trying to determine if there is a pre-existing Mathematica function which can be used to quickly to find if an intersection exists for each component surface of the Cuboid.
Update:
From reading this question, This seems to work better to get the intersections with the cuboid
cub = Cuboid[{-2, -1, 0}, {2, 2, 2}]; lines2 = Table[{Hue[RandomReal[]], Line[RandomReal[5, {2, 3}]]}, {100}]; (intersections = {{[email protected], cub}, {#, RegionIntersection[#2, cub] /. {_EmptyRegion -> Nothing, Line -> Point}} & @@@ lines2};) // AbsoluteTiming // #[[1]]/(n 5) & Graphics3D[{Thick, lines2, AbsolutePointSize@12, intersections}, ImageSize -> 800] intersections = {{#, RegionIntersection[#2, cub] /. {_EmptyRegion -> Nothing, Line -> Point}} & @@@ lines2} 
However, I'm still struggling in determining which surface the line went through...I feel there might be a solution using
CanonicalizePolyhedron[cub][[1]] which gives the vertices of the cuboid....
RegionIntersectionwithRegionBoundary[shape]. You'll get eitherEmptyRegionor aPointwith 0.5 in one or more coordinate place, this will indicate through what face the line went through. $\endgroup$RegionIntersectionalways returns anEmptyRegionwhile trying to compute an intersection in your first example though. $\endgroup$