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Disk


An n-dimensional disk (sometimes spelled "disc") of radius r is the collection of points of distance <=r (closed disk) or <r (open disk) from a fixed point in Euclidean n-space. A disk is the shadow of a ball on a plane perpendicular to the ball-radiant point line.

The n-disk for n>=3 is called a ball, and the boundary of the n-disk is a (n-1)-hypersphere. The standard n-disk, denoted D^n (or B^n), has its center at the origin and has radius r=1.


See also

Ball, Closed Disk, Disk Covering Problem, Disk Line Picking, Disk Point Picking, Five Disks Problem, Hypersphere, Lower Half-Disk, Mergelyan's Theorem, Open Disk, Polydisk, Sphere, Unit Disk, Upper Half-Disk

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Cite this as:

Weisstein, Eric W. "Disk." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Disk.html

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