On 9/15/07, Dan Bron <[EMAIL PROTECTED]> wrote: > Henry Rich: > > sumofhoursatvertices =: 6 * >: > > If true, this is fairly startling to me. I'll study it more when I get home > tonight or tomorrow. Thank you! > > -Dan
Dan, Here is one way to figure out why it is true. The n vertices are equally spaced and span the (hour) range 0..12, with the first vertex at 12*1/n, second at 12*2/n ... last vertex at 12*n/n. Therefore, the total is 12/n*(1+2+...+n). Since the expression in the parentheses equals n*(n+1)/2, the total equals 6*(n+1). Hence Henry's solution. Boyko ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
