: Mathematics: cardioid

geometry > Euclidean geometry > plane curve > cardioid

geometry > algebraic geometry > algebraic variety > algebraic curve > cardioid

cardioid

In geometry, a cardioid (from Greek καρδιά (kardiá) 'heart') is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius. It can also be defined as an epicycloid having a single cusp. It is also a type of sinusoidal spiral, and an inverse curve of the parabola with the focus as the center of inversion. A cardioid can also be defined as the set of points of reflections of a fixed point on a circle through all tangents to the circle.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cardioid)

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