Arm Scaling

armScaling.cs

Vector3 GetPoint()
{
    Vector3 v = Vector3.Zero;
    
    // Generate a point
    ...

    // Calculate the global angle of the point around the axis
    var a = Math.Atan2(v.X, v.Z);

    // Calculate the angle of this point inside its quadrant
    var e = Math.Abs(Math.Abs(a) - Math.PI / 2);

    var magnitude = galaxySize;

    // Scale the point outwards if it lands within the scaling region
    if (e > scalingAngleStart && e < scalingAngleEnd)
        magnitude = magnitude * 2 / Math.Pow(e, scalingPower);

    v.X *= magnitude;
    v.Z *= magnitude;     

    v.Y = 0;        
    return v;
}