A cardioidThe caustic appearing on the surface of this cup of coffee is a 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.[1] 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.[2]
Cardioid generated by a rolling circle on a circle with the same radius
The name was coined by Giovanni Salvemini in 1741[3] but the cardioid had been the subject of study decades beforehand.[4] Although named for its heart-like form, it is shaped more like the outline of the cross-section of a round apple without the stalk.
A cardioid microphone exhibits an acoustic pickup pattern that, when graphed in two dimensions, resembles a cardioid (any 2d plane containing the 3d straight line of the microphone body). In three dimensions, the cardioid is shaped like an apple centred around the microphone which is the "stalk" of the apple.
^Weisstein, Eric W. "Parabola Inverse Curve". MathWorld.
^S Balachandra Rao . Differential Calculus, p. 457
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...
unidirectional microphone is a cardioid microphone, so named because the sensitivity pattern is "heart-shaped" (i.e. a cardioid). The cardioid family of microphones...
from the main cardioid of the Mandelbrot set. Such a component can be reached by a sequence of direct bifurcations from the main cardioid of a little Mandelbrot...
double-stereo techniques, INA-3 (Ideal Cardioid Arrangement), the Decca Tree setup and the OCT (Optimum Cardioid Triangle). Surround techniques are largely...
The space cardioid is a 3-dimensional curve derived from the cardioid. It has a parametric representation using trigonometric functions, as follows: X...
difference and the timing difference as sound arrives on- and off-axis at two cardioid microphones spread to a 110° angle, and spaced 17 cm apart. The microphones...
method is often called "cardioid subwoofer array" or "CSA" even though the pattern of all directional subwoofer methods is cardioid. The CSA method reverses...
virtual microphones with any first-order polar pattern (omnidirectional, cardioid, hypercardioid, figure-of-eight or anything in between) pointing in any...
described. The best-known of these is the cardioid, which is an epicycloid with one cusp; though as the cardioid lacks the point, it may be seen as a stylized...
coin B rotates, each point on its perimeter describes (moves through) a cardioid curve. From start to end, the center of the moving coin travels a circular...
the KTM small cardioid, later followed by the "fet 70" series—transistorized versions of small omnidirectional, cardioid and speech cardioid microphones...
The Shure SM57 is a low-impedance cardioid dynamic microphone made by Shure Incorporated and commonly used in live sound reinforcement and studio recording...
{\displaystyle 2r} = diameter of small circle . Epicycloid examples k = 1; a cardioid k = 2; a nephroid k = 3; a trefoiloid k = 4; a quatrefoiloid k = 2.1 =...
boisei, has a foramen magnum that is similar to a shape of a heart or a cardioid. When KNM-ER 406 was examined among other species, the foramen magnum was...
The Shure SM58 is a professional cardioid dynamic microphone, commonly used in live vocal applications. Produced since 1966 by Shure Incorporated, it has...
PA system. Audio engineers typically use directional microphones with cardioid pickup patterns and various electronic devices, such as equalizers and...
inflorescence called the spadix. It is a short erected plant with whole, cardioid or heart-shaped leaves, generally reflexed, cordate base, apex acuminate...
microphones. The mid mic usually a cardioid mic, the sides using a figure of 8 mic, and the rear using another cardioid mic. This is usually used for recording...
Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limaçon Cardioid Limaçon trisectrix Ovals of Cassini Squircle Three-leaved clover Astroid...
released five albums as of 2014: "Maxim Nucci" (2006), Tree of Life (2009), Cardioid (2010), "Square Eyes" (2013) and "Like a Million Dreams" (2014). The songs...
three tangent circles that form it, rather than exterior to all three. A cardioid-like circular triangle found by Roger Joseph Boscovich has three vertices...
equations determine that the point is within the cardioid, the last the period-2 bulb. The cardioid test can equivalently be performed without the square...
the U 47 except for the available polar patterns (cardioid and figure of eight instead of cardioid and omnidirectional). The Beatles' producer George...
ran at 30 inches per second), wired to mono mixers, with Neumann U-47 cardioid and M-49/50 omnidirectional microphones. Then they switched to an Ampex...
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