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bonanova last won the day on February 12

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About bonanova

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    Retired Expert
  • Birthday November 3

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    Music [performing and directing], photography.

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  1. Baggage on a conveyor belt

    One approach is to Then it would be helpful to know that the result is
  2. Traffic jams

    plainglazed suggests an analysis amenable to powers of 2. I'll amend the OP to make it 1024 cars instead of 100 cars.
  3. When midnight strikes

    Actually, two of the boxes will be empty.
  4. When midnight strikes

    @Pickett Interesting result. OP meant for the coins to have equal value, but yours is a great puzzle also, even for finite numbers of coins received. @rocdocmac and @Pickett When midnight has struck an infinite number of events will have transpired and the process will have stopped. Will any of the three be happier than the others?
  5. When midnight strikes

    At an ever increasing pace Al, Bert and Charlie have been receiving into three identical boxes of limitless capacity identical pairs of silver coins engraved with the integers 1, 2, 3, 4, ... etc. These events occur on a precise schedule, each box receiving Coins marked 1 and 2 at 1 minute before midnight Coins marked 3 and 4 at 1/2 minute before midnight Coins marked 5 and 6 at 1/4 minute before midnight Coins marked 7 and 8 at 1/8 minute before midnight etc. But they were instructed at each event to remove a coin from their respective boxes and discard it. After some thought, Al decided each time to discard his lowest-numbered coin; Bert discarded an even-numbered coin; and Charlie thought what the heck and discarded a coin selected at random. Regardless of strategy, at each event the number of coins in each box grew by unity, so that after N events each box held N coins. Needless to say when midnight struck their arms were infinitely tired, but it was a small price to pay for infinite riches. But tell us, now, whether their expectations were met. Describe the contents of each box at midnight.
  6. Pairing the points

    Not bad. I like the fact you can throw away the connections you find without fear of removing a potential crossing with a future connection. It’s not the solution I had in mind but I think it works. Nice.
  7. Physics fun

    Sizzling. Now finish it.
  8. I’m not a gardener

    Just an observation, that may already have been uncovered, but don't know where to go with it:
  9. Physics fun

    Final clue Repeating an earlier comment,
  10. Baggage on a conveyor belt

    Belt "segment" just refers to portions of belt between adjacent bags. Top or bottom is not an issue. Consider bags are randomly placed points on a line if you like. The fraction of length that is not a near-neighbor segment changes with time. To imply a limit, the OP asks "on average" over time.
  11. Physics fun

    OK a clue ( and it was plainglazed third answer that's close )
  12. Physics fun

    plainglazed is closest so far (but I can’t say which of his guesses). Remember it’s a physics question.
  13. Pairing the points

    This puzzle has a nice "Aha!" proof.