  Starting from equations of state of nucleonic and color-superconducting quark
matter and assuming a first-order phase transition between these, we construct
an equation of state of stellar matter, which contains three phases: a
nucleonic phase, as well as two-flavor and three-flavor color-superconducting
phases of quarks. Static sequences of the corresponding hybrid stars include
massive members with masses of $\sim 2 M_{\odot}$ and radii in the range of
$13< R < 16$ km. We investigate the integral parameters of rapidly rotating
stars and obtain evolutionary sequences that correspond to constant rest-mass
stars spinning down by electromagnetic and gravitational radiation. Physically
new transitional sequences are revealed that are distinguished by a phase
transition from nucleonic to color-superconducting matter for some
configurations that are located between the static and Keplerian limits. The
snapshots of internal structure of the star, displaying the growth or shrinkage
of superconducting volume as the star's spin changes, are displayed for
constant rest mass stars. We further obtain evolutionary sequences of rotating
supramassive compact stars and construct pre-collapse models that can be used
as initial data to simulate a collapse of color-superconducting hybrid stars to
a black hole.
