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The Regents Examinations are developed and administered by the New York State Education Department (NYSED) under the authority of the Board of Regents of the University of the State of New York. Regents exams are prepared by a conference of selected New York teachers of each test's specific discipline who assemble a test map that highlights the ...
Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The "style" of this recursive detail depends on the region of the set boundary being examined.
Fractal curves. Blancmange curve. De Rham curve. Dragon curve. Koch curve. Lévy C curve. Sierpiński curve. Space-filling curve ( Peano curve) See also List of fractals by Hausdorff dimension .
Intersection (geometry) The red dot represents the point at which the two lines intersect. In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the line–line intersection between two distinct lines, which either is one ...
Differentiable curve. Differential geometry of curves is the branch of geometry that deals with smooth curves in the plane and the Euclidean space by methods of differential and integral calculus . Many specific curves have been thoroughly investigated using the synthetic approach. Differential geometry takes another path: curves are ...
In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof. [ 1][ 2][ 3]
Cruciform curve. Deltoid curve. Devil's curve. Hippopede. Kampyle of Eudoxus. Kappa curve. Lemniscate of Booth. Lemniscate of Gerono. Lemniscate of Bernoulli.
Compound of five great rhombihexahedra. Compound of five icosahedra. Compound of five octahedra. Compound of five octahemioctahedra. Compound of five small cubicuboctahedra. Compound of five small rhombicuboctahedra. Compound of five small rhombihexahedra. Compound of five small stellated dodecahedra.