  We present the exact dimer ground state of a quantum antiferromagnet defined
on a quasicrystal constructed from the Bronze-mean hexagonal quasicrystal. A
coupling isotropy on the first and second-neighbor bonds is sufficient to
stabilize a product state of singlets on the third-neighbor bonds. We also
provide a systematic approach for constructing additional crystals,
quasicrystals, and amorphous structures that can sustain an exact dimer ground
state.

Strongly Correlated Electrons