Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

This project implements an AI-based solution to the classic 8-Puzzle Problem using various search algorithms, with a focus on the A* algorithm for optimal performance. The 8-puzzle is a 3x3 sliding ...

There are several puzzle boxes in Blue Prince, but the first that most players will come across can be found in the Trading Outpost. This unique Outer Room can take some time to access, but once ...

Mora Jai puzzle boxes in Blue Prince feature a 3x3 grid of variously colored square tiles. To solve them, you’ll need to set each corner tile to a specific color. The puzzle boxes can be particularly ...

This project includes two Rubik's Cube solvers, an optimal solver, and a Two-Phase / Kociemba's algorithm solver. The optimal solver takes an average of around 60 seconds to find a minimal length ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

Daily puzzlers would be quick to tell you that sudoku, Wordle’s mathematical cousin, is not as easy as it looks. The small grid, found often next to a word scramble or comic strip in a print newspaper ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...