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Maximum intersections between view frustum and grid

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Hi guys,

currently I'm a little at a loss. I've got something like a grid (rows x columns) of bounding boxes. They are something along the line of 200 x 200 x 400. Now I'm trying to find a function that gives me the maximum numbers of intersections a view frustum of a given size can have with the bounding boxes of that grid. I can also go so far as to neglect the near plane. So i just use a pyramid that has the far plane as its base area and the distance from the camera to the far plane as its height. (I'm looking for this because I need to reserve resources for the maximum number of bounding boxes in the view frustum)

I would be very grateful for any ideas you might have.

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