Unity Bezier Curve Generator

public static List<Vector2> generateBeizerCurve(float start, float end, Vector2 left, Vector2 right, Vector2 p1, Vector2 p2, Vector2 p3, float resolution) {
        float middle = start + (end - start) / 2;

        Vector2 middleVector = left + (right - left) / 2;
        Vector2 beizerCurve = calculateBeizerCurve(middle, p1, p2, p3);

        float difference = (beizerCurve - middleVector).magnitude;

        if (difference > resolution) {
            List<Vector2> points = new List<Vector2>();

            List<Vector2> leftPoints  = generateBeizerCurve(start , middle, left       , beizerCurve, p1, p2, p3, resolution);
            List<Vector2> rightPoints = generateBeizerCurve(middle, end   , beizerCurve, right      , p1, p2, p3, resolution);

            if (leftPoints != null)
                points.AddRange(leftPoints);
            points.Add(beizerCurve);
            if (rightPoints != null)
                points.AddRange(rightPoints);

            return points;
        }

        return null;
    }

    public static Vector2 calculateBeizerCurve(float t, Vector2 p1, Vector2 p2, Vector2 p3) {
        return (1 - t) * (1 - t) * p1 + 2 * (1 - t) * t * p2 + t * t * p3;
    }