In geometry, a nephroid (from Ancient Greek ὁ νεφρός (ho nephros) 'kidney-shaped') is a specific plane curve. It is a type of epicycloid in which the smaller...

diagrams of the evolutes of the parabola, the ellipse, the cycloid and the nephroid.) For any arc of the evolute that does not include a cusp, the length of...

(including perfectly parallel rays, as if from a point source at infinity), a nephroid-shaped patch of light can be produced. Rippling caustics are commonly formed...

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 = 21/10 k = 3.8 = 19/5...

(2-rose) Spiric sections Squircle Trifolium Curve Astroid Atriphtaloid Nephroid Quadrifolium Epicycloid Epispiral Epitrochoid Hypocycloid Lissajous curve...

(including perfectly parallel rays, as if from a point source at infinity), a nephroid-shaped patch of light can be produced. Rippling caustics are commonly formed...

trisectrix Ovals of Cassini Squircle Three-leaved clover Astroid Atriphtaloid Nephroid Quadrifolium Epicycloid Epispiral Epitrochoid Hypocycloid Hypotrochoid...

Trifolium curve[citation needed] Quintic of l'Hospital Astroid Atriphtaloid Nephroid Quadrifolium Epicycloid Epispiral Epitrochoid Hypocycloid Lissajous curve...

Cardioid Outside of a circle Circle of half the radius Point on the circle Nephroid Inside of a circle Circle Any Hypotrochoid Inside of a circle Circle Point...

at the bottom of a cylindrical cup is half of a nephroid, which looks quite similar. Limaçon Nephroid Deltoid Wittgenstein's rod Cardioid microphone Lemniscate...

making it an example of a hedgehog. Cardioid – an epicycloid with one cusp Nephroid – an epicycloid with two cusps Deltoid – a hypocycloid with three cusps...

Category:Curves lists numerous metaphorical names, such as Bean curves, also called Nephroids, from the Greek word for kidney "Bullet Nose". MathWorld. Wolfram. 2013-05-08...

quadrilateral Roulettes Centered trochoid Epitrochoid Epicycloid Cardioid Nephroid Deferent and epicycle Hypotrochoid Hypocycloid Astroid Deltoid curve Topology...

r 2 − a 2 ) {\displaystyle p^{2}={\frac {9}{8}}(r^{2}-a^{2})} 2, −2⁄3 Nephroid p 2 = 4 3 ( r 2 − a 2 ) {\displaystyle p^{2}={\frac {4}{3}}(r^{2}-a^{2})}...

fruit rather large, short-pedicellate, trigonous-globular ; seeds oblique-nephroid, but also somewhat triangular, smooth, outside whitish and faintly marked...