  We predict that Lee-Huang-Yang effect makes it possible to create stable
quantum droplets (QDs) in binary Bose-Einstein condensates with a
hetero-symmetric or hetero-multipole structure, i.e., different vorticities or
multipolarities in their components. The QDs feature flat-top shapes when
either chemical potential \mu_1,2 of the droplet approaches an edge of a
triangular existence domain in the (\mu_1,\mu_2) plane. QDs with different
vorticities of their components are stable against azimuthal perturbations,
provided that the norm of one component is large. We also present multipole
states, in which the interaction with a strong fundamental component balances
the repulsion between poles with opposite signs in the other component, leading
to the formation of stable bound states. Extended stability domains are
obtained for dipole QDs; tripole ones exist but are unstable, while quadrupoles
are stable in a narrow region. The results uncover the existence of much richer
families of stable binary QDs in comparison to states with identical
components.
