[gameprogrammer] Re: argh, math!

If I remember my linear algebra right, you have to put all 12 equations in a
matrix and do row reduction until you get a single 1 in each row.  Or
something like that :(

----- Original Message -----
From: "Alan Wolfe" <atrix2@xxxxxxx>
To: <gameprogrammer@xxxxxxxxxxxxx>
Sent: Saturday, May 29, 2004 1:14 PM
Subject: [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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> >
>
>
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>
>
>



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