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    private void SetPositionsAndRotations(float minorRingTwistIncrement)
    {
        for (int i = 0; i < thetaDivisions; i++)
        {
            float phi = 2.0f * Mathf.PI * i / thetaDivisions;

            for (int j = 0; j < phiDivisions; j++)
            {
                float theta = 2.0f * Mathf.PI * j / phiDivisions;
                float majorRadiusTwist = _offsetAlignment.x * j / phiDivisions;

                // recalculate theta center point based on twist offset
                Vector3 twistedThetaCenter = new Vector3(
                    majorRadius * Mathf.Cos(phi + majorRadiusTwist),
                    majorRadius * Mathf.Sin(phi + majorRadiusTwist),
                    0f
                );

                // root object's forward direction
                Vector3 objectForward = transform.forward;
                Vector3 thetaCross = Vector3.Cross(twistedThetaCenter, objectForward);

                float thetaTwist = theta + minorRingTwistIncrement;
                float x = (majorRadius + minorRadius * Mathf.Cos(thetaTwist)) * Mathf.Cos(phi + majorRadiusTwist);
                float y = (majorRadius + minorRadius * Mathf.Cos(thetaTwist)) * Mathf.Sin(phi + majorRadiusTwist);
                float z = minorRadius * Mathf.Sin(thetaTwist);

                Vector3 localPosition = new Vector3(x, y, z);
                Vector3 worldPosition = transform.TransformPoint(localPosition);

                // direction based on the twist offset theta center
                Vector3 localDirection = (twistedThetaCenter - localPosition).normalized;
                Vector3 worldDirection = transform.TransformDirection(localDirection);

                Quaternion rotationQuaternion = Quaternion.LookRotation(worldDirection, transform.TransformDirection(thetaCross));

                vertices[i * phiDivisions + j] = localPosition;
                rotations[i * phiDivisions + j] = localDirection;
                rotationQuaternions[i * phiDivisions + j] = rotationQuaternion;

                Debug.DrawRay(worldPosition, worldDirection, Color.red);
            }
        }
    }