The -ball, denoted , is the interior of a Sphere , and sometimes also called the
-Disk. (Although physicists often use the term ``Sphere'' to mean the solid ball, mathematicians
definitely do not!) Let
denote the volume of an -D ball of Radius . Then
See also Alexander's Horned Sphere, Banach-Tarski Paradox, Bing's Theorem, Bishop's Inequality, Bounded, Disk, Hypersphere, Sphere, Wild Point
Freden, E. Problem 10207. ``Summing a Series of Volumes.'' Amer. Math. Monthly 100, 882, 1993.