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wu :: forums    riddles    medium (Moderators: Eigenray, ThudnBlunder, towr, william wu, Grimbal, Icarus, SMQ)    square tile - either at center or next to boundary « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: square tile - either at center or next to boundary  (Read 233 times) gkwal Newbie     Posts: 25 square tile - either at center or next to boundary   « on: Jul 16th, 2007, 9:31pm » Quote Modify A 7 by 7 square is made up of 16 (1 by 3) tiles and 1 (1 by 1) tile. Prove that the 1 by 1 tile lies either at the centre of the square or adjoins one of its boundaries. IP Logged rmsgrey Uberpuzzler     Gender: Posts: 2873 Re: square tile - either at center or next to boun   « Reply #1 on: Jul 17th, 2007, 9:32am » Quote Modify I can go one better and prove there are only 9 places it could be, all of which, apart from the central square, are on the boundary.   The key is the intermediate stage, which establishes 17 possible squares. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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