cusps

noun

1. 1.A sharp point or pointed end.
2. 2.An important moment when a decision is made that will determine future events.
3. 3.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. 4.A point made by the intersection of two curved lines or curved structures, a common motif in Gothic architecture.
5. 5.A boundary between zodiacal signs and houses.