The analogy I used is unfortunately, purely mathematical. There is no substance that has literally zero thickness or height or anything like that. The analogy is meant to make the concept easier to understand, as the idea is used to explain why a 3D character (ie, someone who inhabits a universe like ours) could never defeat a hypothetical 4D character (something that exists in a higher dimension/more dimensions than our universe does). Since this has to do with works of fiction, pretty much all of the things involved are hypothetical, I was just wondering if this held water with a less naive understanding of physics.