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The red curve is an epicycloid traced as the small circle (radius r = 1) rolls around the outside of the large circle (radius R = 3).. In geometry, an epicycloid (also called hypercycloid) [1] is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls without slipping around a fixed circle.
Epicycloid: variant of a cycloid in which a circle rolls on the outside of another circle instead of a line. Hypotrochoid: generalization of a hypocycloid where the generating point may not be on the edge of the rolling circle. Epitrochoid: generalization of an epicycloid where the generating point may not be on the edge of the rolling circle.
The epitrochoid with R = 3, r = 1 and d = 1/2. In geometry, an epitrochoid (/ ɛ p ɪ ˈ t r ɒ k ɔɪ d / or / ɛ p ɪ ˈ t r oʊ k ɔɪ d /) is a roulette traced by a point attached to a circle of radius r rolling around the outside of a fixed circle of radius R, where the point is at a distance d from the center of the exterior circle.
The red path is a hypocycloid traced as the smaller black circle rolls around inside the larger black circle (parameters are R=4.0, r=1.0, and so k=4, giving an astroid).
Other hormones enter the mix too. These include dopamine (which can make you feel euphoric, similar to the effects of cocaine or alcohol) and endorphins (which act as pain relievers and reduce ...
Reasons for the sell-off range from weakening sales (Tesla) to rising fears tech companies are spending too much to build AI infrastructure (the rest of the Magnificent Seven).
The red curve is an epicycloid (outside the larger generating circle with diameter D, black) and the blue curve is a hypocycloid. The smaller circles are 1/4 the diameter of the larger circle. The solid curve is the profile of the rotor - half is the epicycloid and half is the hypocycloid.
Rock and dust samples retrieved by NASA from the asteroid Bennu exhibit some of the chemical building blocks of life, according to research that provides some of the best evidence to date that ...