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Adjective: insatiable  in'sey-shu-bul
  1. Impossible to satisfy
    "an insatiable demand for old buildings to restore";
    - insatiate, unsatiable

See also: quenchless, unquenchable, unsated, unsatiated, unsatisfiable, unsatisfied, unslakable, unslakeable

Antonym: satiate

Encyclopedia: Insatiable