## THE ARTILLERYMEN'S DILEMMA.[Illustration: [Pyramid of cannon-balls]] MMMMMMMr MM MM: M 0 rWZX M : MWM aX ,BM M 0M M aMMMM2MW 02 MMWMMr ZM. M@M 8MM 7 XM2 MS2 M.MMMWMMMM MM M MX iMM M7W 8 . M r W M@ Z;M M 0r ; M M M W 22 W M @ M M M.M2WMMMMZ ;MM@X:7MMMB; MMM ZM M:MM0;8: ,MS Ma 8 MMMMMMMi rM 2MMMMMM MB M 7 XM, ,: BMM: r7S .,MM MM MB M i ,M , 2 ; aMMMMMMMMM XM; MZM M . M 7 M . Z M M M8 M M S M .0 M 8MM aMi: MMMM7M ,7 .iM X M @ aZ M M 8 ,@MMMMBMMMa SMW 7M,XZ@MM M 8M M .M MMMM@X MMr Ma MMMMMMMMM@ M .WM M @WM7WMM .WX MZS M 8M :MMMWMMMM 8X MMMBMMM7 7aM 2MM r, 8r ZM2 Mr2 aMM; Mai :MS :iM ZiM @MX M M . M Wr.MMMaBMMMB M M MZ. ,M MMZ Mr M M B0 Z 2S iM S XM 7 WMM MM @.M M M W M. M M 0;M2M;MMMM: WW8aMM M S@ M M M : MaMMMMMM MM0W;MZM: M i M M MM MMMZMBZa0ar B20rMMM Si i BW MMM02 7MM0 2MMM MMMMMMMM . M SM@aiMM20BWM XM 0ZMMM:MMMMW; r. 0WMBM2XrB: . "All cannon-balls are to be piled in square pyramids," was the order issued to the regiment. This was done. Then came the further order, "All pyramids are to contain a square number of balls." Whereupon the trouble arose. "It can't be done," said the major. "Look at this pyramid, for example; there are sixteen balls at the base, then nine, then four, then one at the top, making thirty balls in all. But there must be six more balls, or five fewer, to make a square number." "It _must_ be done," insisted the general. "All you have to do is to put the right number of balls in your pyramids." "I've got it!" said a lieutenant, the mathematical genius of the regiment. "Lay the balls out singly." "Bosh!" exclaimed the general. "You can't _pile_ one ball into a pyramid!" Is it really possible to obey both orders? THE ANTIQUARY'S CHAIN. THE BAG OF NUTS. Feedback |