Here's what rhymes with pomographic.
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classic thoracic neoclassic psychopathic intrathoracic osteopathic magic tragic panic erratic lactic manic phallic clastic magmatic tannic malefic democratic organic elastic plastic static fabric ceramic climatic dogmatic drastic frantic autocratic catholic mechanic rheumatic tactic chromatic galactic galvanic glutamic operatic thalamic achromatic italic pelagic syllabic acrobatic mastic tyrannic apparatchik priapic dramatic dynamic automatic romantic gastric hepatic metallic aromatic emphatic inorganic pancreatic schematic scholastic somatic thematic traumatic volcanic barbaric ecstatic enigmatic lymphatic nomadic oceanic pneumatic sporadic synaptic aliphatic asthmatic cephalic climactic fanatic messianic nostalgic ophthalmic panoramic spastic aplastic heraldic muriatic satanic technocratic theocratic titanic slapstick ataxic botanic unemphatic baldric nonelastic aerobatic aristocratic bureaucratic gigantic psychiatric semantic monastic pragmatic charismatic didactic dynastic enzymatic hemorrhagic inelastic metastatic neoplastic prostatic sarcastic axiomatic endoplasmic geriatric kinematic monochromatic pedantic prismatic programmatic tympanic diaphragmatic haemorrhagic iconoclastic monosyllabic phlegmatic spermatic splanchnic undemocratic zygomatic antidemocratic bimetallic bombastic isobaric nonmetallic orgiastic schismatic unromantic astigmatic disyllabic meritocratic panchromatic periphrastic plutocratic stigmatic undramatic matchstick nondramatic diplomatic fantastic problematic pediatric prophylactic stochastic aerodynamic cinematic ecclesiastic emblematic paradigmatic presynaptic anaphylactic diagrammatic gymnastic idiomatic orthostatic protoplasmic thermoplastic unproblematic viscoelastic chiropractic epigrammatic paediatric intergalactic nondemocratic numismatic polysyllabic sycophantic thermostatic undiplomatic systematic enthusiastic symptomatic cytoplasmic hydrostatic hypothalamic idiosyncratic thermodynamic hemodynamic melodramatic postsynaptic psychodynamic psychosomatic transatlantic homeostatic hyperplastic hypoplastic intrahepatic posttraumatic unsystematic anticlimactic interscholastic semiautomatic transoceanic photostatic homoeostatic asymptomatic electrostatic hydrodynamic unenthusiastic unidiomatic overenthusiastic