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 January 15th, 2008, 03:38 PM #1 Newbie   Joined: Jan 2008 Posts: 2 Thanks: 0 riDDLE ! I'm sorry . I didn't know where 2 put this topic ... however . I seek help. Problem : You need to make a square out of five squares . You are allowed to divide each square into different objects (most probably triangles) . . I'm becoming quite desperate .. rather mad actually . **
 January 19th, 2008, 07:26 AM #2 Global Moderator   Joined: Dec 2006 Posts: 19,879 Thanks: 1835 This is very easy if you are allowed to cut each component square into five pieces (a 1 × 1 square and four identical triangles with sides 1, 2 and √5). Can you clarify exactly what you meant by "different objects"?
 January 19th, 2008, 01:08 PM #3 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Are you allowed to choose the sizes of the squares, or are they all the same size?
 January 21st, 2008, 07:04 AM #4 Newbie   Joined: Jan 2008 Posts: 2 Thanks: 0 they all have 2 be the same size . but you can divide them differently .
January 21st, 2008, 04:14 PM   #5
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Quote:
 Originally Posted by lisalotte they all have 2 be the same size, but you can divide them differently.
Must all the pieces obtained by dissecting the five squares be different from each other or can some be the same as each other (or mirror images of each other)?

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