gavinksong

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About gavinksong

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gavinksong's Activity

  1. gavinksong added an answer to a question A Complicated Numbers Problem   

     
    I will confirm that what you observed is true. You need to be clever.
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  2. gavinksong added an answer to a question Cosmetic Surgery and the Worm   

     
    Hmm. Maybe this is trivial, but I have a counterexample.

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  3. gavinksong added an answer to a question Cosmetic Surgery and the Worm   

     
    Let me explain my code from before. The results it gives suggests that the surgeon's claim is correct.
     

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  4. gavinksong added an answer to a question Cosmetic Surgery and the Worm   

     

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  5. gavinksong added an answer to a question Cosmetic Surgery and the Worm   

    I wrote some short Haskell code to verify the surgeon's claim for all worms of a given length.
     

     
    I have yet to think of an actual proof.
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  6. gavinksong added an answer to a question Relatively prime   

    Where did the bin come from?
     



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  7. gavinksong added an answer to a question A Complicated Numbers Problem   

     
    Actually, DeGe, your first method is approaching one of the solutions, but it isn't quite there because it still uses irrational numbers in the final calculation.
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  8. gavinksong added an answer to a question A Complicated Numbers Problem   

     
    Hey, thanks for giving this puzzle some attention.
     

     

     
    Let me rephrase the problem so that it is less ambiguous. There will still be multiple solutions.
    How can you determine the last three digits of (3 + √5)n before the decimal using only integer operations?
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  9. gavinksong added an answer to a question How Many Fingers Am I Holding Up?   

    Wow, I really didn't think anybody would get this! I'm actually super impressed. )))
    Good job!
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  10. gavinksong added an answer to a question Airplane with or without wind   

     
    Yeah, I think post #6 should be the Best Answer.
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  11. gavinksong added an answer to a question Removing pawns - the game   

    I'd like to know the answer
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  12. gavinksong added an answer to a question George the silver fish   

    Incidentally, this explanation provides a much simpler way to arrive at the solution to your aha​ problem, bonanova.
     
    Edit - I just realized that there was an equally elegant words-only solution further along the aha thread. And it has a slightly different angle than the explanation we have above. Man, this is what I love about math.
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  13. gavinksong added an answer to a question George the silver fish   

  14. gavinksong added an answer to a question Simulating an n-sided die with two coins   

    Say we want to simulate an N sided die.
     

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  15. gavinksong added an answer to a question George the silver fish   

    I'm gonna go out on a limb here, but based partially from a trend I have noticed and the formula that bonanova cited...

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