Hundred Colors of Math
I recently bought a book by Evdokimov, titled Hundred Colors of Math. The book has lovely math puzzles and cute pictures. The book has answers but doesn’t explain them. Also, the English translation is decent but not perfect. For these two reasons, I am not sure I would recommend the book. However, I do like the puzzles, and here is one of them, called Runaway Cell.
Puzzle. The figure depicted in the picture (a 6-by-6 square, in which the top row is moved by one square) was cut along the grid lines into several identical parts which could be put together to form a 6-by-6 square. The parts are allowed to be turned over. What is the minimal possible number of such parts?
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Lazar Ilic:
2 onsight symmetry smooth continuous physical transformation .gif in my head now I am studying topology again:
-XXXOOO
15 May 2024, 2:33 amXXXOOO
XXXOOO
XXXOOO
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Konstantin:
I know two different solutions (one is angle-connected)
15 May 2024, 3:10 amLazar Ilic:
Oops. Yet again, I misread!
-XXXXXX
OXOXOX
OXOXOX
OXOXOX
OXOXOX
OOOOOO
XXXXXX
OXOXOX
OXOXOX
OXOXOX
OXOXOX
OOOOOO
For example by reflecting the Xs across the vertical line of the 4th column. I have yet to see a relatively strong solver in code.
15 May 2024, 12:32 pm