Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.View current documentation (Version 11.2)


represents the unit ball centered at the point p.

represents the ball of radius r centered at the point p.

represents a collection of balls of radius r.


  • Ball is also known as center interval, disk, ball, and hyperball.
  • Ball can be used as a geometric region and a graphics primitive.
  • Ball[] is equivalent to Ball[{0,0,0}].
  • Ball[n] for integer n is equivalent to Ball[{0,,0}], a unit ball in .
  • Ball represents a filled ball {x|TemplateBox[{{x, -, p}}, Norm]<=r}. The region is dimensional for point p of length .
  • Ball allows p to be any point in and r any positive real number.
  • Ball can be used in Graphics and Graphics3D.
  • In graphics, the points p, and radii r can be Scaled and Dynamic expressions.
  • Graphics rendering is affected by directives such as FaceForm, EdgeForm, Specularity, Opacity, and color.
  • Ball[{p1,p2,},{r1,r2,}] represents a collection of spheres with centers and radii .
Introduced in 2014