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wu :: forums    riddles    medium (Moderators: Eigenray, william wu, Icarus, SMQ, ThudnBlunder, towr, Grimbal)    1/5 th of a square « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: 1/5 th of a square  (Read 335 times) JohanC Senior Riddler     Posts: 460 1/5 th of a square   « on: Nov 26th, 2005, 4:37pm » Quote Modify Given a square, construct a new square which occupies 1/5th of the area of the original square. The only allowed operations are: - connecting points with straight lines, - form a new point being the intersection of two lines, and - add a point in the middle between two existing points IP Logged Eigenray wu::riddles Moderator Uberpuzzler     Gender: Posts: 1948 Re: 1/5 th of a square   fifthsquare.zip « Reply #1 on: Nov 26th, 2005, 5:37pm » Quote Modify Okay. IP Logged JohanC Senior Riddler     Posts: 460 Re: 1/5 th of a square   « Reply #2 on: Nov 27th, 2005, 2:12am » Quote Modify Nice solution, Eigenray. And to the point. I had a more symmetric looking solution in mind. Maybe let somebody else figure out that one? IP Logged JocK Uberpuzzler     Gender: Posts: 877 Re: 1/5 th of a square   « Reply #3 on: Nov 27th, 2005, 3:15am » Quote Modify Any Greeks on this forum?     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. Barukh Uberpuzzler     Gender: Posts: 2276 Re: 1/5 th of a square   Fifth_Square.zip « Reply #4 on: Nov 27th, 2005, 5:06am » Quote Modify on Nov 27th, 2005, 2:12am, JohanC wrote: I had a more symmetric looking solution in mind. Maybe let somebody else figure out that one?   IP Logged JohanC Senior Riddler     Posts: 460 Re: 1/5 th of a square   « Reply #5 on: Nov 27th, 2005, 7:14am » Quote Modify Yes, Barukh, that's it! IP Logged JohanC Senior Riddler     Posts: 460 Re: 1/5 th of a square   « Reply #6 on: Nov 27th, 2005, 8:14am » Quote Modify By the way, Barukh, which software did you use to create this nice image? Or did you write it directly into PostScript? IP Logged Barukh Uberpuzzler     Gender: Posts: 2276 Re: 1/5 th of a square   « Reply #7 on: Nov 27th, 2005, 10:26am » Quote Modify on Nov 27th, 2005, 8:14am, JohanC wrote: By the way, Barukh, which software did you use to create this nice image? Or did you write it directly into PostScript? I use an old demo version of Geometer's SketchPad software.   Creating directly a PS file is too hard for me...   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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