Lights Out: A Mathematical Grid Puzzle Game
By
raymondtana
A bagel you'd recommend to a friend without hedging.
Summary
The article describes 'Lights Out,' a mathematical puzzle played on an n×n grid where cells are either red or white. The objective is to make all cells red by clicking on cells, which flips the color of the clicked cell and its adjacent neighbors (north, east, south, west). The original version uses a 5×5 board with this adjacent neighbor flipping rule.
Key quotes
· 4 pulledLights Out is a mathematical puzzle that lives on an $n \\times n$ grid where each cell of the grid is one of two colors: either red or white.
The goal is to eventually get all the cells in the grid to be red.
Clicking a cell will not only flip the color of that cell, but also flip the color of all the neigbors to its north, east, south, and west (call this rule Adjacent).
The original setup involves a $5 \\times 5$ board, on whose cells a user may 'click.'
You might also wanna read
Simulating the Ladybug Clock Puzzle: A Computational Approach to a Mathematical Problem
The article discusses a mathematical puzzle about a ladybug moving around a clock face, visiting all hour markers exactly once, and asks for
Probability Puzzle: Combining Information from Multiple Unreliable Sources in a Coin-Flipping Game
This article explores a probability puzzle involving a coin-flipping game with two unreliable informants. Alice sees a coin flip and reports
eieio.games·4mo ago
A visual introduction to differential geometry and Maxwell's equations through pictures
This article presents a pictorial introduction to differential geometry, aimed at making the mathematical foundation accessible to pre-unive
arxiv.org·21h ago
Mathematical Model Identifies the Optimal Threshold for Human Ambition
A collaborative mathematical study reconciled conflicting pieces of cultural advice by mapping the exact parameters of human ambition. Using
neurosciencenews.com·22h ago
Weak and Block-Equitable Colourings in Uniform Group Divisible Designs and Maximum Packings
This article presents a mathematical study of colourings in uniform group divisible designs and maximum packings. It defines weak c-colourin
doi.org·4d agoVC Dimension and the Fundamental Theorem of Statistical Learning: A Complete Mathematical Derivation
This article explains the theoretical foundations of statistical learning theory, specifically addressing when learning from data is guarant