TimeSpaceLightForce Posted January 9, 2016 Report Share Posted January 9, 2016 Find the smallest MxM square Tangram that is made of N rectangular pieces that do not share the same (integer units) length of side. Quote Link to comment Share on other sites More sharing options...
0 Buddyboy3000 Posted January 10, 2016 Report Share Posted January 10, 2016 If I understood your question correctly... Spoiler A 4x4 square, made of three rectangles. 1st rectangle: Length: 4, Width: 2 2nd rectangle: Length: 2, Width: 1 3rd rectangle: Length: 3, Width: 2 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 10, 2016 Author Report Share Posted January 10, 2016 18 hours ago, Buddyboy3000 said: If I understood your question correctly... Reveal hidden contents A 4x4 square, made of three rectangles. 1st rectangle: Length: 4, Width: 2 2nd rectangle: Length: 2, Width: 1 3rd rectangle: Length: 3, Width: 2 ..but "length of side" doesn't necessarily be the longer or horizontal side of a rectangle. Thus you got all rectangles with common sides. Anyway it's a wise answer.. Quote Link to comment Share on other sites More sharing options...
0 Logophobic Posted January 10, 2016 Report Share Posted January 10, 2016 Spoiler 11 x 11 square, 5 rectangles (two ways) Quote Link to comment Share on other sites More sharing options...
0 Buddyboy3000 Posted January 11, 2016 Report Share Posted January 11, 2016 (edited) On 1/10/2016 at 0:02 PM, TimeSpaceLightForce said: ..but "length of side" doesn't necessarily be the longer or horizontal side of a rectangle. Thus you got all rectangles with common sides. Anyway it's a wise answer.. So you are saying that in perspective, all of the sides that are common, can't be the same length. Does that mean that a line horizontal and a different line vertical can still be the same number? If so... Spoiler Common sides do not share the same number, but sometimes a horizontal and a different vertical side does. Edited January 11, 2016 by Buddyboy3000 Saved the picture as the wrong file. Quote Link to comment Share on other sites More sharing options...
0 DejMar Posted January 12, 2016 Report Share Posted January 12, 2016 Request clarification to the definition intended for tangram: Spoiler Perhaps it is not intended that N = 7, yet the definition of tangram is "a Chinese geometric puzzle consisting of a square cut into seven pieces that can be arranged to make various other shapes." The value of N aside, there is still a need to clarify what is meant by "that do not share the same (integer units) length of side." Does the qualification mean that each individual length of a side is a unique integer or that each ordered pair of integer sets [(length, width), such that length >= width] is unique? Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted January 12, 2016 Author Report Share Posted January 12, 2016 11 x 11 is the answer.. N=7 may result in larger square. the Tangram I found w/ 5 rectangles are: 1x1,2x5,3x6,4x9,7x8 . Good two Logophobic! @buddy boy- thanks for the solution.. maybe I should have said " none of them have a common dimension" but I got a square rectangle piece. @Dejmar- Yes its not like the Chinese Tangram in no. of pieces Quote Link to comment Share on other sites More sharing options...
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TimeSpaceLightForce
Find the smallest MxM square Tangram that is made of N rectangular pieces
that do not share the same (integer units) length of side.
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