• The Power of a Computational Proof: Uncrossed Knight’s Tours Continued

    Updated: 2023-07-18 20:29:50
    In December 2022, I wrote a blog post Uncrossed Knight’s Tours about Derek Kisman’s amazing achievement of calculating the largest uncrossed knight’s tours on rectangular chessboards on sizes M-by-N, where M is small, and N can be very very large. The data showed some asymptotic periodicity, and I wondered how to prove it mathematically. I […]

  • Balls in Boxes

    Updated: 2023-07-17 15:26:34
    I stumbled upon a cute puzzle on Facebook which originally came from a new book, Creative Puzzles to Ignite Your Mind by Shyam Sunder Gupta. Share:

  • Klein Bottles without Holes, or How to Crochet Through

    Updated: 2023-07-09 23:44:37
    After I crocheted Whitney Umbrellas, I got excited that I figured out how to crochet through an existing layer of fabric. I decided to use my skills to crochet “correct-er” Klein bottles. A Klein bottle is a cool mathematical surface with only one side, similar to the Möbius strip. Unlike the strip, the Klein bottle […]

  • The Odd-one-out Dilemma

    Updated: 2023-07-04 23:19:42
    I do not like odd-one-out puzzles. This old and famous example is one of the reasons why. When given the list: skyscraper, cathedral, temple, and prayer, people usually pick “prayer” as the odd-one-out because it’s not a building. On the other hand, when the order is prayer, temple, cathedral, and skyscraper, people would pick “skyscraper” […]

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