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  1. I recently had my first experience with an LLM solving a seemingly open problem.

  2. Alice and Bob on Two-Pi Day

    This weekend 6/28 is “Two-Pi Day” (or Tau Day, if you like).

  3. Introduction T.

  4. Introduction In the dice game “Biscuits,” a player rolls 12d6+1d8+1d10+1d12, then selects one or more of the rolled dice to set aside, rolling the remainder again, continuing this process until eventually all 15 dice have been set aside.

  5. During the holidays, my niece introduced me to a “bottle match” game, variants of which have apparently made the rounds online for a while now, but it was new to me.

  6. Introduction In Zach Wissner-Gross’s Fiddler on the Proof, he mentions the following problem from nearly five years ago, when it was still FiveThirtyEight’s The Riddler: You are one of finalists in a skiing championship.

  7. Nearly 15 years ago, I wrote about the following trick attributed to William “Fitch” Cheney, Jr., in [1]: Effect 1: While the magician turns their back or even leaves the room, a spectator shuffles a standard deck of cards, and selects an (unordered) subs…

  8. Introduction Alice and Bob ride their bicycles together to work each day.

  9. Here is a neat trick: our friend, Paul, has asked us for help estimating his skill at the shooting range.

  10. A trick-taking game

    There has not been a puzzle here in a while, so… Alice is playing a card game with her nephew, Bob, using a standard deck of playing cards.