[gameprogrammer] Re: argh, math!

Hey Rob,

it sounds easy but nobody seems to be able to help :P

lets say you have 12 of these:

Ax+By+Cz+D > 0

where in each of the 12 equations, there is a different value for A,B,C and
D.

how could you be able to tell if there is some value for x,y,z that
satisfies all 12 equations?

----- Original Message ----- 
From: "Rob Quill" <rjquill@xxxxxxxxxx>
To: <gameprogrammer@xxxxxxxxxxxxx>
Sent: Saturday, May 29, 2004 1:01 PM
Subject: [gameprogrammer] Re: argh, math!


> OK, my maths isn't great, but they will be overlapping if the lines
> intersect, so by putting two of the equations equal to each other and
> solving you can see if there is a point of intersection.
>
> That sounds a bit too simple, so maybe I have mis-interpretted the
problem.
>
> Or thinking about it, could you not use vectors? If you had the vector
> equations you could use:
>
> a.b = |a||b|cos(x)
>
> But again, it seems too simple. Is it that hard to solve a equation 12
> times.
>
> Rob
>
> Rob
> ----- Original Message ----- 
> From: "Alan Wolfe" <atrix2@xxxxxxx>
> To: <gameprogrammer@xxxxxxxxxxxxx>
> Sent: Saturday, May 29, 2004 8:52 PM
> Subject: [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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> >
> >
>
>
>
>
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