  We study vortex lattices in three-component BECs under rotation, where three
kinds of fractional vortices winding one of three components are present.
Unlike the cases of two-component BECs where the phases of square and
triangular lattices are present depending on the intercomponent coupling
constant and the rotation speed, we find triangular ordered "colorful" vortex
lattices where three kind of fractional vortices are placed in order without
defects, in all parameter region where the inter-component coupling g' is less
than the intra-component coupling g. When g > g' on the other hand, we find the
phase separation; In a region where one component is present, the other two
components must vanish, where we find ghost vortices in these two components
whose positions are separated. In the boundary g = g', the accidental U(3)
symmetry is present, in which case two vortices in different components are
close to each other in some regions.
