# Simple math question

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I have a point in space, and direction normal. I want to create a quad that faces the direction of the normal and has the point in space as its center point.
Any help is appreciated.

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The term you're looking for is 'billboarding'. (Google and/or a forum search should tell you the rest.)

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I though billboarding was specifically referring to a quad that faced the camera.

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I though billboarding was specifically referring to a quad that faced the camera.

It usually is, but for at least one type of billboarding, it's the same problem that you're trying to solve.

Here is a thread where I described one method for aligning an object with a vector. There are several ways to solve the problem though, each with its own advantages and disadvantages; if you'd like a more specific suggestion, perhaps you could tell us what higher-level problem you're trying to solve.

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I though billboarding was specifically referring to a quad that faced the camera.

Same idea more or less, what is your up vector reference for what youre doing?

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from nvidia portal engine (coded in delphi)

p i the normal and punkt_na_plaszyznie is a point on that plane you jmmust get the distance

float __fastcall getplaneD(t3dpoint vn,t3dpoint point)
{
return -((vn.x*point.x)+(vn.y*point.y)+(vn.z*point.z));
}

TPolygon CreatePoly(t3dpoint p,t3dpoint punkt_na_plaszczyznie, float SIZE)

{
// SIZE = 16384.0;
TPolygon Result;
t3dpoint n, tmp;
float a, b, c,d;

d = getplaneD(p,punkt_na_plaszczyznie);
// Create a huge polygon on the given plane.

//Result.Count := 4;

a = abs(p.x);
b = abs(p.y);
c = abs(p.z);
if ((a >= b) && (a >= c) ) {
// Plane is mostly YZ-aligned.
Result.V[0] = triplesingletoT3DPOINT(-(p.y*-SIZE + p.z*-SIZE + d)/p.x, -SIZE, -SIZE);
Result.V[1] = triplesingletoT3DPOINT(-(p.y*SIZE + p.z*-SIZE + d)/p.x, SIZE, -SIZE);
Result.V[2] = triplesingletoT3DPOINT(-(p.y*SIZE + p.z*SIZE + d)/p.x, SIZE, SIZE);
Result.V[3] = triplesingletoT3DPOINT(-(p.y*-SIZE + p.z*SIZE + d)/p.x, -SIZE, SIZE);
}
if ( (b >= a) && (b >= c) ) {
// Plane is mostly XZ-aligned.
Result.V[0] = triplesingletoT3DPOINT(-SIZE, -(p.x*-SIZE + p.z*-SIZE +d)/p.y, -SIZE);
Result.V[1] = triplesingletoT3DPOINT(SIZE, -(p.x*SIZE + p.z*-SIZE + d)/p.y, -SIZE);
Result.V[2] = triplesingletoT3DPOINT(SIZE, -(p.x*SIZE + p.z*SIZE + d)/p.y, SIZE);
Result.V[3] = triplesingletoT3DPOINT(-SIZE, -(p.x*-SIZE + p.z*SIZE + d)/p.y, SIZE);
}
if ( (c >= a) && (c >= b) ) {
// Plane is mostly XY-aligned.
Result.V[0] = triplesingletoT3DPOINT(-SIZE, -SIZE, -(p.x*-SIZE + p.y*-SIZE + d)/p.z);
Result.V[1] = triplesingletoT3DPOINT(SIZE, -SIZE, -(p.x*SIZE + p.y*-SIZE + d)/p.z);
Result.V[2] = triplesingletoT3DPOINT(SIZE, SIZE, -(p.x*SIZE + p.y*SIZE + d)/p.z);
Result.V[3] = triplesingletoT3DPOINT(-SIZE, SIZE, -(p.x*-SIZE + p.y*SIZE + d)/p.z);

}
n = vectorcross(vectors_substract_v1minusv2(Result.V[0], Result.V[1]),
vectors_substract_v1minusv2(Result.V[2], Result.V[1]));
Result.normal = p;
Result.Count = 4;
if (Dot(p, n) <= 0 ) {
tmp = Result.V[1];
Result.V[1] = Result.V[3];
Result.V[3] = tmp;
}
return Result;
}

[/quote]

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There's an infinite number of these quads, they can rotate around this normal. You would have to have some more info or if it wouldn't matter, then something like this should work

vec3 normal;
vec3 pt;

// setup directions for both local axis of quad
vec3 right = random vector not equal to normal;
vec3 up = normal cross right
right = up cross normal

vec3 a = pt - right * quadDim.x - up * quadDim.y;
vec3 b = pt + right * quadDim.x - up * quadDim.y;

vec3 c = pt - right * quadDim.x + up * quadDim.y;
vec3 d = pt + right * quadDim.x + up * quadDim.y;

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