Dissection puzzle
in [Math]
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From: Richard Tobin on 5 Mar 2010 17:40 This is probably a well-known puzzle. Given a square ABCD, centre O, with the triangle ABO removed, is it possible to dissect the remainder AOBCD into four congruent pieces? -- Richard -- Please remember to mention me / in tapes you leave behind.
From: calvin on 5 Mar 2010 18:22 On Mar 5, 5:40 pm, rich...(a)cogsci.ed.ac.uk (Richard Tobin) wrote: > This is probably a well-known puzzle. > > Given a square ABCD, centre O, with the triangle ABO removed, is it > possible to dissect the remainder AOBCD into four congruent pieces? I can do better than that, dissecting it into just three congruent pieces.
From: bill on 5 Mar 2010 20:22 On Mar 5, 3:22 pm, calvin <cri...(a)windstream.net> wrote: > On Mar 5, 5:40 pm, rich...(a)cogsci.ed.ac.uk (Richard Tobin) wrote: > > > This is probably a well-known puzzle. > > > Given a square ABCD, centre O, with the triangle ABO removed, is it > > possible to dissect the remainder AOBCD into four congruent pieces? > > I can do better than that, dissecting it into just three > congruent pieces.
From: Brian Chandler on 6 Mar 2010 00:41 Richard Tobin wrote: > This is probably a well-known puzzle. > > Given a square ABCD, centre O, with the triangle ABO removed, is it > possible to dissect the remainder AOBCD into four congruent pieces? > Um, I'm no good at ASCII art, and not much good at any art, but will this napkin sketch do? http://imaginatorium.org/private/puzzle.png (How does one really attack proving things about puzzles like this? I wish I knew.) Brian Chandler
From: Richard Tobin on 6 Mar 2010 04:24
In article <3901cfb4-56d7-4c55-b0c2-bb064553640d(a)k18g2000prf.googlegroups.com>, Brian Chandler <imaginatorium(a)despammed.com> wrote: >Um, I'm no good at ASCII art, and not much good at any art, but will >this napkin sketch do? > >http://imaginatorium.org/private/puzzle.png Thanks. >(How does one really attack proving things about puzzles like this? I >wish I knew.) .... such as whether it's possible to do it with pieces that are connected (if that's the right term). -- Richard -- Please remember to mention me / in tapes you leave behind. |