Abstract: A new stationary subdivision scheme is presented for quadrilateral meshes. In contrast to the usual dyadic splitting operation, the number of quadrilaterals increases in every step by a factor of 2. Applying the subdivision twice is equivalent to a dyadic subdivision and a rotation. The presented algorithm is derived from tensor product of cubic B-splines, so the resulting surface is C² continuous for regular vertices (with valence 4) and C¹ continuous for extraordinary vertices (with valence other than 4). The simplicity in geometric operation and the slow topological refinement make the subdivision scheme more suitable for many applications, such as 3D image reconstruction and network transmission.