In
geometry, the cardioid is an
epicycloid with one
cusp. That is, a cardioid is a
curve that can be produced as the path (or
locus) of a point on the circumference of a
circle as that circle rolls around another fixed circle with the same radius.The cardioid is also a special type of
limaçon: it is the limaçon with one cusp. The cusp is formed when the
ratio of a to b in the
equation is equal to one.The name comes from the
heart shape of the curve (Greek kardioeides = kardia:heart + eidos:shape). Compared to the heart symbol (♥), though, a cardioid only has one sharp point (or
cusp). It is rather shaped more like the outline of the cross section of a
plum.
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