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No Rotation Dissection (Posted on 2004-10-19) Difficulty: 3 of 5
Take a square and cut it as you wish into a finite number of pieces. Rearrange the pieces without rotating or flipping any of them to form an new square that is rotated 45-degrees compared to the original.

No Solution Yet Submitted by Brian Smith    
Rating: 3.3333 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: One possible Solution (visual) | Comment 9 of 25 |
(In reply to One possible Solution (visual) by SteveH)

Bravo!

Whoops! Sorry, have to take my Bravo back.  You did do a good job of fooling me, though, but as Jer points out in a later post, your solution is flawed.  When I print the two squares on separate sheets, superimpose them, and hold them up to the light, the pieces are congruent, but the new figure is a rectangle, not a square. An interesting dissection without rotation or reflection, nevertheless.

Edited on October 20, 2004, 6:19 pm
  Posted by Richard on 2004-10-20 00:12:02

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