Model Of Torus Rotating
0:15
Model Of Torus Rotating
Dec 18, 2018
Adobevitanovski
SOLVED:The figure shows the torus obtained by rotating about the z-axis the circle in the x z -plane with center (b, 0,0) and radius a<b . Parametric equations for the torus are x=b cosθ+a cosαcosθ y=b sinθ+a cosαsinθ z=a sinα where θand αare the angles shown in the figure. Find the surface area of the torus. (FIGURE CANNOT COPY)
SOLVED:The figure shows the torus obtained by rotating about the z-a…
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The torus is a three-dimensional surface shaped like a donut, formed by rotating a circle around an axis in its plane that does not intersect the circle. It is a classic example of a surface with a hole, making it topologically distinct from a sphere or a cube. In mathematics, the torus is a fundamental object in topology, where it serves as a basic model of a surface with genus one. Beyond pure math, the torus appears in physics, computer graphics, and engineering—modeling anything from magneti
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