Full of mystery, puzzling, or hard to understand or interpret; mysteriously unclear in meaning.
From enigma + -ical (adjective suffix). The -ical ending comes from Latin and Greek and is used to create adjectives meaning 'of the nature of' or 'relating to.'
When something is 'enigmatical,' it's deliberately mysterious or confusing—like the Mona Lisa's smile or those weird cryptic tweets that everyone tries to decode.
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