/// <summary>
/// Perform an Isometric projection of the vector.
/// </summary>
/// <param name="alpha">The first angle of projection.</param>
/// <param name="beta">The second angle of projection.</param>
/// <returns></returns>
public Point Project(double alpha, double beta)
{
Matrix3D alphaMat = new Matrix3D();
Matrix3D betaMat = new Matrix3D();
alphaMat.X1 = 1; alphaMat.X2 = 0; alphaMat.X3 = 0;
alphaMat.Y1 = 0; alphaMat.Y2 = Math.Cos(alpha); alphaMat.Y3 = Math.Sin(alpha);
alphaMat.Z1 = 0; alphaMat.Z2 = Math.Sin(alpha) * -1; alphaMat.Z3 = Math.Cos(alpha);
betaMat.X1 = Math.Cos(beta); betaMat.X2 = 0; betaMat.X3 = Math.Sin(beta) * -1;
betaMat.Y1 = 0; betaMat.Y2 = 1; betaMat.Y3 = 0;
betaMat.Z1 = Math.Sin(beta); betaMat.Z2 = 0; betaMat.Z3 = Math.Cos(beta);
Matrix3D projectionMat = alphaMat.Multiply3D(betaMat);
Vector projectionVector = projectionMat.MultiplyVector3(this);
return new Point(projectionVector.X, projectionVector.Y);
}
