We describe a new traveling-wave cross-roll state in a water-filled cylindrical convection cell with thermally conducting sidewalls (GAMMA = D/2d = 4.94). Just beyond convective onset, four axisymmetric toroidal rolls form. For epsilon = (R - R(c))/R(c) > 0.15 this pattern loses stability to either a nonaxisymmetric state with rolls normal to the sidewall, or (by skipping from onset to a value of 0.3 < epsilon < 1.3) a pattern consisting of three toroidal rolls with cross rolls in the outermost toroidal roll. The cross rolls are time dependent and typically form modulated traveling waves.
