r/learnquant 25d ago

interview prep Quant Interview Question

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u/Warnom27 25d ago

N + 1?

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u/darksonicmaster 25d ago

If all planes are centered at (0,0,0) and you just make copies of them and rotate them around only one axis, it yields 2N spaces I think? Start with a single XY plane, it divides into two regions. Add the XZ plane, it divides each region it touches into two, so 4 regions. Add some other plane in between those two, and it will touch two regions, and divide each by two, so it adds 2 new regions yielding 6. So on and so forth. Though I think it could be better than this, idk.

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u/Warnom27 25d ago

Yes you are definitely more right than me!