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 sin
An ordinary cusp occurring as the caustic of light rays in the bottom of a teacup.
Caustic (optics)
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In optics, a caustic or caustic network is the envelope of light rays which have been reflected or refracted by a curved surface or object, or the projection of that envelope of rays on another surfac
Cusp (singularity)
…x2 does not divide P2 then we have exactly type A4, i.e. the zero-level-set will be a rhamphoid cusp. Applications An ordinary cusp occurring as the caustic of light rays in the bottom of a teacup. Cusps appear naturally when projecting into a plane a smooth curve in three-dimensional Euclidean space. In…
Caustics from a glass of water
Caustics made by the surface of water