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wu :: forums    riddles    medium (Moderators: Grimbal, Eigenray, ThudnBlunder, SMQ, william wu, towr, Icarus)    Equilateral triangle and square division. « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Equilateral triangle and square division.  (Read 3200 times) Jeremiah Smith Full Member Beep!     Posts: 172 Equilateral triangle and square division.   « on: Aug 3rd, 2002, 11:05pm » Quote Modify Here's the answers to both. I drew them. They're not exactly equilateral and everything but you get the idea.   http://www.wam.umd.edu/~xdt/shapesdivision.bmp « Last Edit: Aug 3rd, 2002, 11:06pm by Jeremiah Smith » IP Logged william wu wu::riddles Administrator     Gender: Posts: 1291 Re: Equilateral triangle and square division.   « Reply #1 on: Aug 3rd, 2002, 11:43pm » Quote Modify Nice job I think these problems were more a question of how quickly you could find the answer. Both questions came from timed MENSA tests. Thanks for the diagrams. IP Logged [ wu ] : http://wuriddles.com / http://forums.wuriddles.com Jeremiah Smith Full Member Beep!     Posts: 172 Re: Equilateral triangle and square division.   « Reply #2 on: Aug 4th, 2002, 1:11pm » Quote Modify Well, to be honest, I'd simply seen those problems before IP Logged Jeremiah Smith Full Member Beep!     Posts: 172 Re: Equilateral triangle and square division.   « Reply #3 on: Aug 8th, 2002, 4:52pm » Quote Modify A little addendum...although the way the problems are phrased here doesn't specify this, most other places I've seen them at specify that the smaller shapes must be congruent to the larger shapes...for example, the L shaped thingie into four smaller L shaped thingies.   From what I recall, these shapes are known as "rep-tiles", which are basically any shapes that can be tiled with smaller copies of themselves.   http://mathworld.wolfram.com/Rep-Tile.html     There are a bunch shown there. (Technically, rectangles and triangles are rep-tiles, I think, but they're not really fancy.) 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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