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YouTube

The 15-Game - Mathematical Strategy and Hidden Patterns

Numberphile via YouTube

Overview

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Explore the mathematical intricacies of the 15-Game in this 14-minute video featuring Ben Sparks. Discover how this deceptively simple number game reveals profound mathematical connections to magic squares and strategic thinking. Learn the rules of the game where players take turns selecting numbers from 1 to 9, aiming to be the first to collect three numbers that sum to 15. Uncover the hidden relationship between this game and tic-tac-toe through the lens of a 3x3 magic square, where each row, column, and diagonal adds up to 15. Examine strategic approaches and winning patterns while understanding how mathematical structures can transform our perception of seemingly different games. Gain insights into combinatorial game theory and see how abstract mathematical concepts manifest in accessible, playable formats.

Syllabus

The 15-Game - Numberphile

Taught by

Numberphile

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