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BSP trees

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Hello. I want to use BSP tree in my program. I know how to build and use BSP tree with a static scenes. The quiestion is if it posible to use BSP Trees with non-static objects(e.g. i have sphere and teapot and I rotate one of them about the other). And if it is posible, then how can I do this? P.S. I want to use BSP trees for alphablending.

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