[gameprogrammer] argh, math!

hey everyone
I have a math problem im trying to solve for my game and am having difficulty :P

i have a "box" defined by 6 planes in the form of: Ax+By+Cz+D=0, where A,B,C 
and D are known constants for each equation.

the box doesnt have to have corners at right angles, but it's assumed to be 
concave.

what im trying to do is take 2 of these "boxes" and see if they overlap at all.

so basicly from what i can tell i have 12 plane equations and what i am trying 
to do is find if there are any sets of X,Y,Z which satisfy all 12 equations.

I asked around how to solve systems of inequalities but people keep saying 
"graph it", which doesnt help me any :P

Does anyone know how to do this? I'm starting to think that there is no 
solution ::cry:: hehe



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