tag:blogger.com,1999:blog-8567006606981734165.post1077781818108097354..comments2017-06-19T07:20:15.318-07:00Comments on CALL THE GREEKS (The Cool Riddles - Project): 25 Dots, 8 Lineshliaskalnoreply@blogger.comBlogger7125tag:blogger.com,1999:blog-8567006606981734165.post-22397981018760457282013-04-23T14:44:45.439-07:002013-04-23T14:44:45.439-07:00Final proof by me... thinking inside and outside t...Final proof by me... thinking inside and outside the box and the square "spiral method":<br /><br />http://www.scribd.com/doc/137604469/Extended-9-Dots-Puzzle-final-proof-general-solving-method<br /><br />For nay n>5, you can solve any nxn puzzle INSIDE the box (using the square spiral method).Marcohttp://www.blogger.com/profile/12717607622631749758noreply@blogger.comtag:blogger.com,1999:blog-8567006606981734165.post-80804414957832818232013-04-21T03:58:11.622-07:002013-04-21T03:58:11.622-07:00You only need 1 line, it just needs to be very thi...You only need 1 line, it just needs to be very thick. :-)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8567006606981734165.post-90781454223097773872013-04-21T03:20:54.265-07:002013-04-21T03:20:54.265-07:005 From the top left spot down the left slightly an...5 From the top left spot down the left slightly angled and very long so I can come straight back up into the second to left column and continue like that.Danielhttp://www.blogger.com/profile/01877232954767826145noreply@blogger.comtag:blogger.com,1999:blog-8567006606981734165.post-38384307338768333112013-04-21T01:33:16.060-07:002013-04-21T01:33:16.060-07:00I would solve this by drawing 4 lines to cover the...I would solve this by drawing 4 lines to cover the "frame", thus converting it to the classic 3x3 points 4 lines problem.<br /><br />Similar solution can be used for every n>3.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8567006606981734165.post-66999976221298191322013-04-13T13:43:20.393-07:002013-04-13T13:43:20.393-07:00Hehehhehe... many thanks!
Unfortunately I don'...Hehehhehe... many thanks!<br />Unfortunately I don't know a lot of riddles, I've just created a few riddles/questions by myself for the ebook I linked in my previous post (most of them are number theory related problems).<br /><br />BTW this blog is very nice, I wish you the best :)<br /><br />P.S.<br />There is another interesting result related to this puzzle... I typed it as a comment here: http://oeis.org/A058992. To be short: the gossip problem and the nxn dots puzzle are the same thing (looking at it from a mathematical perspective), to solve a nxn dots puzzle you need 2n-2 stright lines and, to interact with any people in a set of n, you need 2n-2 "calls" as well!Marcohttp://www.blogger.com/profile/12717607622631749758noreply@blogger.comtag:blogger.com,1999:blog-8567006606981734165.post-76031538175817535022013-04-13T12:08:59.961-07:002013-04-13T12:08:59.961-07:00I could not expect a better solution!!! Bravo Marc...I could not expect a better solution!!! Bravo Marco!!<br /><br />You have already answered to my next riddle!! i was going to post my next riddle about n x n dots. Bravo!! I think you fit in this blog! And i believe you know lots of riddles!write us the riddle or puzzle you liked most ever. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8567006606981734165.post-24432066905435038872013-04-13T10:18:36.398-07:002013-04-13T10:18:36.398-07:00My general solution (nxn dots, 2*n-2 stright lines...My general solution (nxn dots, 2*n-2 stright lines):<br />http://www.scribd.com/doc/133494020/Extended-9-dots-puzzle-to-nx2-dotsMarcohttp://www.blogger.com/profile/12717607622631749758noreply@blogger.com