In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the...

In mathematics, an astroid is a particular type of roulette curve: a hypocycloid with four cusps. Specifically, it is the locus of a point on a circle...

as a deltoid, a type of quadrilateral A deltoid curve, a three-cusped hypocycloid A leaf shape The deltoid tuberosity, a part of the humerus The deltoid...

friction and wear). Their gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling around the...

green field on which is placed a white four-pointed star (a truncated hypocycloid) from which radiate blue stripes, each bordered by L-shaped yellow elements...

{\displaystyle (x_{0},y_{0})} . The special cases of the epicycloid and hypocycloid, generated by tracing the locus of a point on the perimeter of a circle...

R)}{R}}} (where LCM is least common multiple). Special cases include the hypocycloid with d = r and the ellipse with R = 2r and d ≠ r. The eccentricity of...

along a diameter of the larger circle. The Tusi couple is a 2-cusped hypocycloid. The couple was first proposed by the 13th-century Persian astronomer...

a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and involutes. On a basic level...

of the Wankel engine is an epitrochoid. Cycloid Cyclogon Epicycloid Hypocycloid Hypotrochoid Spirograph List of periodic functions Rosetta (orbit) Apsidal...