witzar
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Everything posted by witzar
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Unfortunately not. I just wrote a recurrent equation (to count possible arrangements of marbles) and solved it using computer.
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Can you prove, that required arrangement is not possible with odd number of coins?
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Is it required for each coin to touch fully table surface with one of its faces?
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Can you find a closed form equation for the sequence?
witzar replied to Rob_Gandy's question in New Logic/Math Puzzles
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When one has eliminated the impossible, then whatever remains, however improbable, must be the truth. This is what Sherlock Holmes used to say, who was a great master in retrograde chess. You can learn more about it from a great book with retrograde puzzles: The Chess Mysteries of Sherlock Holmes by Raymond M. Smullyan. Highly recommended. PS Well done, k-man
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Well done, k-man.
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The description of game Set in Wikipedia contains the following statement: If 26 Sets are drawn from a collection of 81 cards, the remaining 3 cards form a Set too. Can you provide a nice and smooth proof for it?
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Haven't you just proved, that there is no integer solution?
