Overlapping cubes

Question

I'm trying to determine if two cubes overlap. I've read up on overlapping rectangles, but I'm not sure how to translate it into the third dimension.

My goal is to generate a number of randomly positioned and sized non-overlapping cubes.

These cubes are represented on a x,y,z Cartesian plane.

Answer 1

The accepted answer is wrong and very confusing. Here is what I have come up with.

Determining overlap in the x plane

    if (cubeA.maxX > cubeB.minX)
    if (cubeA.minX < cubeB.maxX)

Determining overlap in the y plane

    if (cubeA.maxY > cubeB.minY)
    if (cubeA.minY < cubeB.maxY)

Determining overlap in the z plane

    if (cubeA.maxZ > cubeB.minZ)
    if (cubeA.minZ < cubeB.maxZ)

if you AND all of these conditions together and the result is true, you know that the cubes intersect at some point.

Credit: https://silentmatt.com/rectangle-intersection/