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Noun: pointedness  poyn-tid-nus
  1. The property of a shape that tapers to a sharp tip
    "The pointedness of the pencil allowed for precise drawing";
    - point
     
  2. The quality of being obviously directed at a particular person or thing
    "the pointedness of his sarcasm was unmistakable"

Type of: directness, straightness, taper

Antonym: unpointedness