Forums > Trashcan > A Phrench homework for kids

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 pj Total Posts: 3469 Joined: Jun 2004
 Posted: 2016-05-01 20:32 Me and my kid stumbled on the following homework problem.The following phish should be cut with two straight linesinto three parts and reassembled into the square.The fish can be used to pave the plane (we verified that),and thus easily cut into four parts to be reassembled into asquare. But three?Any ideas? I saw a dead fish on the pavement and thought 'what did you expect? There's no water 'round here stupid, shoulda stayed where it was wet.'
 Nonius Founding MemberNonius Unbound Total Posts: 12787 Joined: Mar 2004
 Posted: 2016-05-02 11:00 numbering the semi-acute angles clockwise starting with the mouth, a1,a2,a3,a4,a5,a6,a7,a8. what are your assumptions about these values? presumably a1,a2 and a8 are right angles. what about a3 and a7? or a5? Chiral is Tyler Durden
 NeroTulip Total Posts: 1036 Joined: May 2004
 Posted: 2016-05-02 11:45 They do MELT in skool these days? Inflatable trader
 pj Total Posts: 3469 Joined: Jun 2004
 Posted: 2016-05-02 11:57 @Nonius since the fishes tile, you may assume they are all right angles.Although I wouldn't bet that any of them is a right, even the lines are not so straight.@NeroTulipU tell me. The teacher is a bit mad, but he teaches the real math. I like his style, and we were able to do other problems, which also required some thinking. I saw a dead fish on the pavement and thought 'what did you expect? There's no water 'round here stupid, shoulda stayed where it was wet.'
 Nonius Founding MemberNonius Unbound Total Posts: 12787 Joined: Mar 2004
 Posted: 2016-05-02 13:19 hmmm too bad in Euclidean geometry we can't assume they are all right angles......unless the fins are infinitely thin. maybe I'm MELTING? Chiral is Tyler Durden
 goldorak Total Posts: 1065 Joined: Nov 2004
 Posted: 2016-05-02 16:32 "Horizontal line from front head to fin's inner curve, diagonal from head bottom to top fin corner, and diagonal from head top to bottom fin corner" was your four parts solution? If you are not living on the edge you are taking up too much space.
 pj Total Posts: 3469 Joined: Jun 2004
 Posted: 2016-05-02 16:39 SolutionAnd I was already going to prove that "ça n'existe pas." I saw a dead fish on the pavement and thought 'what did you expect? There's no water 'round here stupid, shoulda stayed where it was wet.'
 Nonius Founding MemberNonius Unbound Total Posts: 12787 Joined: Mar 2004
 Posted: 2016-05-02 17:19 ah, ok. the original diagram didn't lend itself to such symmetry, but I gotcha. Chiral is Tyler Durden
 goldorak Total Posts: 1065 Joined: Nov 2004
 Posted: 2016-05-02 17:32 Well, you ALWAYS can find a solution to that kind of problem... you just need imagination... If you are not living on the edge you are taking up too much space.
 pj Total Posts: 3469 Joined: Jun 2004
 Posted: 2016-05-02 18:05 "s'il n'y a pas de solution c'est qu'il n'y a pas de problème"Shadoks TM"If there is no solution, that means there is no problem to solve" I saw a dead fish on the pavement and thought 'what did you expect? There's no water 'round here stupid, shoulda stayed where it was wet.'
 Nonius Founding MemberNonius Unbound Total Posts: 12787 Joined: Mar 2004
 Posted: 2016-05-02 19:49 I like Moscow Puzzles for kids. Maybe too many match stick problems though. Chiral is Tyler Durden
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