Oh, you are talking about each rectangle covering two squares. But that means each rectangle would need to cover squares of two different colors. And with the opposite diagonal corners taken out you run out of one color too fast.
Thanks, -- Raul On Fri, Oct 20, 2017 at 12:21 PM, Roger Hui <[email protected]> wrote: > Sorry, no. The answer is that you can not so tile a checkerboard with the > corner cut-outs. But how do you prove that? > > > > > On Fri, Oct 20, 2017 at 9:10 AM, Raul Miller <[email protected]> wrote: > >> This??? >> >> ('';<,~a:){~*63|i.8 8 >> >> Thanks, >> >> -- >> Raul >> >> >> On Fri, Oct 20, 2017 at 11:48 AM, Roger Hui <[email protected]> >> wrote: >> > A checkerboard related problem: If you cut out two opposite corners of >> an >> > 8-by-8 checkerboard, can you tile the remaining 62 squares with 2-by-1 >> > rectangles? >> > >> > >> > On Fri, Oct 20, 2017 at 8:28 AM, Linda Alvord <[email protected]> >> > wrote: >> > >> >> >> >> This gets to the heart of the problem! An addition table. Then, finding >> >> what's left when you divide numbers in half. >> >> >> >> Now, picking your symbols should be fun. >> >> It seems like a good day in kindergarden. >> >> >> >> Linda >> >> >> >> Sent from AOL Mobile Mail >> >> >> >> >> >> -----Original Message----- >> >> From: Roger Hui <[email protected]> >> >> To: Programming forum <[email protected]> >> >> Cc: Linda Alvord <[email protected]>; bill lam < >> [email protected]> >> >> Sent: Fri, Oct 20, 2017 11:02 AM >> >> Subject: Re: [Jprogramming] unicode >> >> >> >> >> >> 2|+/~i.8 >> >> 0 1 0 1 0 1 0 1 >> >> 1 0 1 0 1 0 1 0 >> >> 0 1 0 1 0 1 0 1 >> >> 1 0 1 0 1 0 1 0 >> >> 0 1 0 1 0 1 0 1 >> >> 1 0 1 0 1 0 1 0 >> >> 0 1 0 1 0 1 0 1 >> >> 1 0 1 0 1 0 1 0 >> >> >> >> '.X'{~2|+/~i.8 >> >> .X.X.X.X >> >> X.X.X.X. >> >> .X.X.X.X >> >> X.X.X.X. >> >> .X.X.X.X >> >> X.X.X.X. >> >> .X.X.X.X >> >> X.X.X.X. >> >> >> >> >> >> >> >> On Fri, Oct 20, 2017 at 1:03 AM, Linda Alvord <[email protected]> >> >> wrote: >> >> >> >> >> >> >> >> Sent from AOL Mobile Mail >> >> >> >> >> >> Can you make a checker board?<div><span style="font-size: 16px;"> >> </span> >> >> <span style="font-size: 16px;"> d</span> >> >> <span style="font-family: HelveticaNeue, Helvetica, Arial, >> >> sans-serif;">▪¤▪¤▪¤▪¤</span><p dir="ltr"> >> >> ¤▪¤▪¤▪¤▪ >> >> >> >> ▪¤▪¤▪¤▪¤ >> >> >> >> ¤▪¤▪¤▪¤▪ >> >> >> >> ▪¤▪¤▪¤▪¤ >> >> >> >> ¤▪¤▪¤▪¤▪ >> >> >> >> ▪¤▪¤▪¤▪¤ >> >> >> >> ¤▪¤▪¤▪¤▪ >> >> >> >> $d >> >> >> >> 8 8 >> >> >> >> >> > ---------------------------------------------------------------------- >> > 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 ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
