Combinatorics

concepts · 10 notes linked

Related: Persi Diaconis · Information Theory · Quanta Magazine · Ramsey Theory · Probability Theory · Probability · Hans Freudenthal · De Bruijn Sequence

Notes

• Complex Projective 4-Space — Constructing first known golyhedron from golygon generalization
• Expert reveals the fascinating link between math and card shuffling — Mathematical analysis of card shuffling methods, mixing times, and practical applications
• How a gambler's question led math prodigy Blaise Pascal to found probability theory — Blaise Pascal founding probability theory from gambling problem
• Information Theory Finds the Best Wordle Starting Words — Using Shannon entropy to optimize Wordle opening word selection
• Math Reveals How Many Shuffles Randomizes A Deck — Mathematical analysis determines minimum shuffles to fully randomize 52 cards
• Mathematicians Discover New Way to Predict Structure in Graphs | Quanta Magazine — Ramsey number r(4,t) lower bound raised using finite geometry construction
• The Lawlessness of Large Numbers — Finite Ramsey theory computation far harder than asymptotic bounds
• The Secret Math Behind Mind-Reading Magic Tricks | Quanta Magazine — Mathematical structures — de Bruijn sequences and logic deduction — underlying magic tricks
• The Surprisingly Simple Math Behind Puzzling Matchups | Quanta Magazine — Intransitive dice show winning relationships can cycle non-transitively
• Young tableau - Wikipedia — Combinatorial diagrams encoding symmetric and linear group representations