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History
Cusp (singularity)
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In mathematics, a cusp, sometimes called spinode in old texts, is a point on a curve where a moving point must reverse direction. A typical example is given in the figure. A cusp is thus a type of singular point of a curve.
An ordinary cusp occurring as the caustic of light rays in the bottom of a teacup.
An ordinary cusp occurring as the caustic of light rays in the bottom of a teacup.
Curve
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In mathematics, a curve is an object similar to a line, but that does not have to be straight.
Megalithic art from Newgrange showing an early interest in curves
Megalithic art from Newgrange showing an early interest in curves
A dragon curve with a positive area
A dragon curve with a positive area