Funny how the n-Sphere volume dwindles for the higher dimensions. Not quite intuitive but the factorial always "win" even with bigger radii.
The hypercubes do not share this characteristic (V= edge ^ n) On Tue, Aug 15, 2017 at 3:33 PM, Ben Gorte - CITG <[email protected]> wrote: > A little surprise (to me) was > plot 1 sphvol i.30 > (for example) > > Can you predict it? > > greetings, > Ben > ________________________________________ > From: Programming [[email protected]] on behalf of > Raul Miller [[email protected]] > Sent: Tuesday, August 15, 2017 19:55 > To: Programming forum > Subject: [Jprogramming] "n-volume" of an "n-sphere" > > sphvol=: (1p1&^%!)@-:@] * ^ > 1 sphvol 3 > 4.18879 > 1 sphvol i.7 > 1 2 3.14159 4.18879 4.9348 5.26379 5.16771 > > Left argument is the radius of the "n-sphere". > > Right argument is the number of dimensions. > > I put "n-volume" in quotes, because if the dimension is 2 (for > example), the "n-volume" is what we call the area of the circle. (And > if the dimension is 1 that "n-volume" is the length of a line > segment). > > Anyways, I stumbled across this and thought it might be interesting > for someone else. > > Thanks, > > -- > Raul > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
