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CTK Exchange
alexb
Charter Member
1929 posts |
Feb-19-06, 08:53 AM (EST) |
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1. "RE: sudoku"
In response to message #0
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>Is sudoku maths? Some say it is, yet others say it is not. Solving one requires logic and memory. Creating one may need logic and programming ability. Talking of one it is natural to bring up the latin squares. To my knowledge, an article "The Sudoku Epidemic" by Prof. (of Mathematics) R. Wilson appeared in FOCUS, v 26 , n 1 (2006). This is the news letter of the Mathematical Association of America. Another "Beyond Su Doku" by John Sharp appeared in infinity, v 1, n 3 (2005). This is a new Brit'sh journal of math puzzles and diversion. J. Sharp is also a mathematician and an illustrator of David Wells' You Are a Mathematician. |
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junglemummy
Member since Nov-7-05
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Mar-01-06, 10:04 PM (EST) |
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2. "RE: sudoku"
In response to message #1
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Thanks Alex. I have only recently become a sudoku addict and have discovered that people either love or hate it. There is a positive correlation with people who either love or hate maths. For example, my mother hates maths and won't look at a sudoku because "it's maths". People who love sudoku also tend to love maths. This correlation follows even when the numerals in sudoku are replaced with letters or other symbols, which is just bizarre. In the latest Australian Mensa journal there was a question asking how many possible valid arrangements are there for completing the sudoku grid? The answer they gave was 6,670,903,752,021,072,936,960. If you remove solutions that could be considered symmetrical, it becomes 5,472,730,538. Don't ask me how they worked it out. |
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iliaden
Member since Aug-14-05
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Mar-26-06, 07:39 PM (EST) |
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4. "RE: sudoku"
In response to message #1
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I still do not see the math (or even the logic!) in sudoku puzzles. Personally, I do not consider them anyhow related to math. I think of theese puzzles as of something that you can teach anyone to do automatically, since they're compleeted by a simle elimination of choices. Can you explain why is it popular, or why is it related to math? |
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Tim
guest
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Mar-27-06, 10:06 AM (EST) |
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5. "RE: sudoku"
In response to message #4
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We were discussing this on the train to work the other morning. Any definition of maths must include the process of determining relationships between entities. However I believe, as the banner on the home page of this website says, that the heart of mathematics consists of concrete examples. Therefore, I think I can show that the answer to the question "Is Sudoku maths?" is a resounding "Yes". For a given puzzle, which the setter has declared to be solvable, there is no more information in a completed, "solved" grid than in the "unsolved" grid. Therefore for an experienced practioner there is nothing to be learnt from solving the puzzle. However they are exercising a concrete example and applying relationships they have learnt on previous puzzles. Therefore it is still maths. For the novice, the answer is an even more emphatic yes. Very few people are able to infer all the rules and techniques which lead to a solution the first time they try a puzzle. Indeed, different puzzles often require different techniques (as witnessed by the varying levels of difficulty applied by the setters). Therefore with each new puzzle the novice is determining the relationships which lead to a solution, and in so doing they are undertaking the purest form of maths. This website delights in new proofs of planar geometrical identities. Yet in a sense they are pointless - Euclid defined the propositions which define planar geometry, so why bother. The answer is that maths is all about new relationships and every true mathematician delights in finding out new relationships, particularly between ideas they thought they understood well. Why, then, would we want to deny that opportunity to the wider population? |
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britni
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Dec-07-06, 05:10 PM (EST) |
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6. "RE: sudoku"
In response to message #5
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The truth is that you do not have to have any math skills to do sudoku. Yes it involves numbers, but replace the numbers with symbols such as a heart, club, etc you can have a child solve them. A lot of people are scared away from it because it has numbers so they assume it is math but its a puzzle. Simple as that. |
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