Doing 3D in 2D

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Any one tried doing 3D in 2D? I don't mean using models and all that, i mean more 'old fashioned' 3D like that in Doom games, or for that matter simply 'faking it' like in mario kart (i.e. differently scaled sprites, but with a clever background) - of which there was a version done in BB2D was there not?

Just interested in how you may have gone about it.