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wu :: forums    riddles    easy (Moderators: SMQ, ThudnBlunder, towr, william wu, Grimbal, Eigenray, Icarus)    shape into three « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: shape into three  (Read 609 times) Ez Hassan Guest shape into three   « on: Jul 19th, 2005, 5:43am » Quote Modify Remove Hello everybody, I have been thinking about this for the longest time. But i seem not to be able to get the goal is to cut the shape onto three congurent shapes ( along the squares).   four is so easy but three seems impossible Help please IP Logged Ez Hassan Guest Re: shape into three   « Reply #1 on: Jul 19th, 2005, 5:48am » Quote Modify Remove sorry here is the puzzle   http://user.cs.tu-berlin.de/~yoki/riddle/sit.html IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: shape into three   « Reply #2 on: Jul 19th, 2005, 10:29am » Quote Modify note that it doesn't say 'along the lines' there.. IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Ez Hassan Guest Re: shape into three   « Reply #3 on: Jul 19th, 2005, 10:36am » Quote Modify Remove well could it be done along the lines? IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: shape into three   « Reply #4 on: Jul 19th, 2005, 2:22pm » Quote Modify I'm pretty sure it isn't possible. But I don't see a clever way to prove it (just trying all possibilities). IP Logged Wikipedia, Google, Mathworld, Integer sequence DB JocK Uberpuzzler     Gender: Posts: 877 Re: shape into three   « Reply #5 on: Jul 19th, 2005, 3:37pm » Quote Modify when not following the lines, dividing it into three congruent pieces is trivial... « Last Edit: Jul 19th, 2005, 3:39pm by JocK » IP Logged solving abstract problems is like sex: it may occasionally have some practical use, but that is not why we do it. xy - y = x5 - y4 - y3 = 20; x>0, y>0. SWF Uberpuzzler     Posts: 879 Re: shape into three   « Reply #6 on: Jul 19th, 2005, 7:54pm » Quote Modify It is impossible to do it by cutting only along the lines. Due to 4 of the small squares only touching one other square, 4 dominoes (pairs of squares) are immediately identified such that each of them is entirely within one piece. With 3 pieces, two of those dominoes must both be in one of the pieces. Just try the 3 ways of pairing up two in one piece, and it is pretty easy to see that this is impossible. IP Logged EzisEz Newbie     Posts: 10 Re: shape into three   « Reply #7 on: Jul 20th, 2005, 6:37am » Quote Modify well, how about cutting it along the squares in not ( nessecarly,contiuous shapes( only joined by the edge of the little squares IP Logged raprap Newbie     Gender: Posts: 23 Re: shape into three   « Reply #8 on: Jul 23rd, 2005, 6:09am » Quote Modify Thinking outta box here.     Cut into two shapes along the horizontal.  Rearrange putting the tab and indents together making a 4 by 6 rectangle.   Then divide this rectangle with two vertical cuts into three identical 2 by 4 rectangles.     Rap 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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