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BSP's were first used in Quake, not Doom. Doom was not 3D, just 2.5D. Full BSP's as used in common VR's applications those times were not needed then.

The Doom precomputed z-buffer hack is described in this article, but I wouldn't call it genius. The Quake BSP was much better, but neither genius as a lot of people used it before to their advantage. It was a common technique, just not in games. Even we used it in our VR application years before Quake.



Doom has 2D BSP trees, it's the same technique in any number of dimensions.




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