  Crystalline topological insulators have recently become a powerful platform
for realizing photonic topological states from microwaves to the visible.
Appropriate geometric symmetries of the lattice are at the core of their
functionality. Here we put forward an alternative approach to craft those
systems by designing the internal symmetries of the Hamiltonian via accidental
mode degeneracies. We illustrate our approach constructing ananalog of
breathing honeycomb lattice using simpler lattice geometry and six times less
meta-atoms, reveal edge and corner states and calculate the relevant
topological invariants.
