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What is a cusp?

What is a cusp? Here are some definitions.

Noun
  1. A sharp point or pointed end.
  2. (figuratively) An important moment when a decision is made that will determine future events.
  3. (geometry) A point of a curve where the curve is continuous but has no derivative, but such that it has a derivative at every nearby point.
  4. (architecture) A point made by the intersection of two curved lines or curved structures. A common motif in Gothic architecture.
  5. (astrology) A boundary between zodiacal signs and houses.
  6. (dentistry) Any of the pointed parts of a canine tooth or molar.
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