Hacker News with Generative AI: Puzzles

A Computational Proof of the Highest-Scoring Boggle Board (danvk.org)
Exciting news! This is the best possible Boggle board:
Show HN: Logiquiz – Daily Self-Referential Puzzles (logiquiz.com)
Logiquiz, also know as Self-Referential Quiz or Puzzle, is a type of quiz where the questions refer to the quiz itself or other questions within the same quiz. The answers often depend on the content or structure of the quiz, making it a meta-puzzle.
Reptends and Reciprocals (gregegan.net)
Is there an integer d whose reciprocal, 1/d, has a decimal representation with a recurring block of digits exactly 10 digits long, containing all ten decimal digits?
Physicists Designed a Quantum Rubik's Cube and Found the Best Way to Solve It (sciencealert.com)
A team of mathematicians from the University of Colorado Boulder has designed a quantum Rubik's cube, with infinite possible states and some weird new moves available to solve it.
Monsky's Theorem (mathmondays.com)
For which \(n\) can you cut a square into \(n\) triangles of equal area?
Solving Greater Than Sudoku using constraint logic programming (sdymchenko.com)
Greater Than Sudoku (Compdoku) is a variant of sudoku where no initial values are given, but there are greater-than relations inside 3×3 squares that the values must satisfy (the picture from http://avva.livejournal.com/2832977.html):
Unlocking Sudoku's Secrets (chalkdustmagazine.com)
Sudoku has long captivated puzzle enthusiasts worldwide with its logical challenges and addictive nature. While it may seem like a simple game of numbers, beneath the surface lies a fascinating connection to the realm of mathematics.
Show HN: Omiword – A daily, sector-based word puzzle (omiword.com)
Drag tiles within sectors to spell four common words.
Show HN: Fermi – A Wordle-style game for order-of-magnitude thinking (andrewnoble.me)
Solving a “Layton Puzzle” with Prolog (buttondown.com)
I have a lot in the works for the this month's Logic for Programmers release. Among other things, I'm completely rewriting the chapter on Logic Programming Languages.
AI/Math Puzzle (aggressivelyparaphrasing.me)
I found a poster with a math puzzle that points to a reward website. I couldn’t figure it out, so maybe the prize is still available!
Show HN: I made a little puzzle game about a rogue chess knight (rakhim.org)
Reach the target to win.
Mathematicians Find Proof to 122-Year-Old Triangle-to-Square Puzzle (scientificamerican.com)
Mathematicians Find Proof to 122-Year-Old Triangle-to-Square Puzzle
Rubik's Cube Solutions, Puzzles, and 8-Balls (2023) (williambader.com)
My old racing Rubik's Cube http://www.rubiks.com is well-worn and barely holds together.
Don't Think, Just Solve (nytimes.com)
Max Park is a longtime speedcubing world record holder — for the 3x3x3 cube, his best official time is 3.13 seconds. Let's show you how he does it.
Show HN: Monty's Gauntlet – Do You *Really* Understand the Monty Hall Problem? (tinkerdeck.com)
Stumbling Our Way into Solving the Oldest Board Game (royalur.net)
The Royal Game of Ur, a 4500-year-old mystery, is now solved.
A new Sudoku layout with 81 uniquely shaped cells (danielchasehooper.com)
Something productive finally came from my daily Sudoku habit: I invented a new type of puzzle that I call “Cracked Sudoku”. It’s named after cracked dirt:
A Perplexing JavaScript Parsing Puzzle (hillelwayne.com)
Show HN: A CSS Puzzle Game (csshell.com)
A Scientific American bolt puzzle (leancrew.com)
A week or so ago, Scientific American republished this Martin Gardner puzzle from 1958:
Can you solve it? Clueless sudoku, a genius new puzzle (theguardian.com)
Today I unveil a fantastic new type of Sudoku invented by reader Alf Smith. Like all Sudoku, the digits from 1 to 9 must appear in all rows, columns and boxes.
Show HN: Betting game puzzle (Hamming neighbor sum in linear time) (ycombinator.com)
In Spain, there's a betting game called La Quiniela: https://es.wikipedia.org/wiki/La_Quiniela_(Espa%C3%B1a)<p>Players predict the outcome of 14 football matches (home win, draw, away win). You win money if you get at least 10 correct, and the prize amount depends on the number of winners. Since all bets are public, the number of winners and the corresponding payouts can be estimated for each of the 3^14 possible outcomes.
Making any integer with four 2s (thegreenplace.net)
There's a cute math puzzle that can be interesting to folks on very different levels:
Making any integer with four 2s (thegreenplace.net)
There's a cute math puzzle that can be interesting to folks on very different levels:
A simple geometry question that fools almost everyone (theguardian.com)
A triangle and a rectangle walked into a pub
The largest sofa you can move around a corner (quantamagazine.org)
A new proof reveals the answer to the decades-old “moving sofa” problem. It highlights how even the simplest optimization problems can have counterintuitive answers.
Show HN: Detective Stories -Lateral thinking detective game with Deepseek player (detective-stories.com)
Solving Sudoku with Tmux (willhbr.net)
The question that everyone has been asking me since I compiled Python to run on tmux is: “can you actually do anything useful with this?”. I’m happy to report back that the answer is still no, but I can now use tmux to solve sudoku, and I can do it using a different and trickier approach than the one I used with the compiler.
Explorable Flexagons: Learn to create and flex flexagons (2020) (loki3.com)
Learn to create and flex flexagons