  Strongly interacting topologically ordered many-body systems consisting of
fermions or bosons can host exotic quasiparticles with anyonic statistics. This
raises the question whether many-body systems of anyons can also form anyonic
quasiparticles. Here, we show that one can, indeed, construct many-anyon
wavefunctions with anyonic quasiparticles. The braiding statistics of the
emergent anyons are different from those of the original anyons. We investigate
hole type and particle type anyonic quasiparticles in Abelian systems on a
two-dimensional lattice and compute the density profiles and braiding
properties of the emergent anyons by employing Monte Carlo simulations.
