A tight layout of the cube-connected cycles

F.P. Preparata and J. Vuillemin (1981) proposed the cube connected cycles (CCC) and in the same paper, gave an asymptotically optimal layout scheme for the CCC. We give a new layout scheme for the CCC which requires less than half of the area of the Preparata-Vuillemin layout. We also give a non trivial lower bound on the layout area of the CCC. There is a constant factor of 2 between the new layout and the lower bound. We conjecture that the new layout is optimal (minimal).