Mellitic anhydride is unusual - as mentioned in the argument over urea, it seems like it should be organic - it's a benzene derivative - but there's no hydrogen. This causes it to fail some peoples' tests for whether something's organic.
More bafflingly, mellitic acid's aluminum salt is a mineral! Mellite sure looks like a rock, huh?
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The trianhydride of ethanehexacarboxylic acid is just as cute. An organic compound must meet two criteria:
1) It must be a compound - at least one more element besides carbon must be present in stoichiometric proportion. Graphite, diamond, buckeyballs, polycarbyne... are inorganic.
2) It must contain at least one carbon-carbon or carbon-hydrogen bond. Formaldehyde, formic acid, chloroform, hexachloroethane, and CL-20 are organic. Carbonic acid, carbon tet, urea, melamine, and cyanuric acid are inorganic.
Hmm. By the definition given above, then, HCN is organic, but its salts aren't?