- A cardioid is a curve which resembles a heart. Its name is derived from Greek where kardia means heart and eidos means shape, though it is actually shaped more like the outline of the cross section of an apple.
In geometry, a cardioid is the curve traced by a point on the circumference of a circle that rolls around the circumference of another equal circle.
A More Mathematical Explanation
Generating a CardioidWhen is the radius of the moving circ [...]
Generating a Cardioid
When is the radius of the moving circle, the Cardioid curve is given by:
- Cartesian equation .
- Polar equation
- Parametric equation
Properties of Cardioids
The evolute of a cardioid is equal to itself.
Cardioid is the pedal of a circle with respect to a fixed point on the circle.
Cardioid is the catacaustic of a circle with light source on the circle.
Cardioid is also the envelope of circles with centers on a fixed base circle C and each circle passing through a fixed point P on the base circle C.
Cardioid is the inverse of parabola with respect to its focus.
Cardioid is also the conchoid of a circle of radius r with respect to a fixed point on the circle, and offset 2 r.
Why It's Interesting
The cardioid microphone...
Cardioid's in the Mandelbrot Set
Fibonacci and Cardioids
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