Disk (mathematics)
In
geometry, a
disk is an n-dimensional region bounded by an (n-1) dimensional hypersphere. A disk is said to be closed or open according to whether the region does or does not include its boundary. A
ball is a disk in a space with > 2 dimensions.
A representative disk is three-dimensional volume element of a solid of revolution. The element is created by rotating a line segment (of length "w") around some axis (located "r" units away); such that, a cylindrical volume, of π∫r2w units, is enclosed.
In
topology, a
open disk and a
closed disk in a
metric space are the same as
open ball and closed ball. In particle, in a two dimensional
Euclidean space, an open (closed) disk is an circular area without (with) its boundary circle.
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