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One important property of the astroid is that tangents to the astroid represent magnetization directions with extremal energy, i.e. either local minima or local maxima. For a system with a uniaxial anisotropy the tangent(s) that are closest to the easy axis lead to stable solutions, i.e. minimal energy.
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). 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.
The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
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2000 GG 66: Linus Alexander Freyer (born 2001), a finalist in the 2014 Broadcom MASTERS, a math and science competition for middle school students, for his biochemistry, medicine, health science, and microbiology project: JPL · 30168: 30169 Raghavganesh: 2000 GU 67
It is the first asteroid moon discovered and confirmed by way of occultation results alone. IAU · 33748: 33750 Davehiggins: 1999 RD 2: David J. Higgins (born 1961), Australian business analyst and amateur astronomer, operator of Hunters Hill Observatory and a discoverer of minor planets: JPL · 33750: 33761 Honoranavid: 1999 RR 74
Asteroid 2024 YR4 was originally thought to have a 1 in 83 1.3% chance of colliding with Earth. And while the new numbers may seem striking, there’s still a 97.7% chance the asteroid will miss ...