Analysis of a unique knight's tour with minimal obtuse angles, presented by Donald Knuth in his annual Christmas lecture.
Analyzing the probability of covering all birthdays in a group and the expected number of people needed, framed as the Coupon Collector's Problem.
A technical blog post demonstrating how to use R programming to computationally enumerate all possible 5-card poker hands from a standard deck.
Analyzing the probability of self-assignment in a Secret Santa gift exchange using probability bounds and simulations.
An explanation of Sattolo's algorithm for generating a random permutation with a single cycle, aimed at those without a strong math background.
Using R code to generate permutations of digits (2,2,5,5,9,9), analyzing divisibility by 11 and primality.
An introductory explanation of permutation patterns, covering basic permutations, slot restrictions, and their relevance to programming and mathematics.
Explores the mathematical design of the game Spot It! using finite projective planes and prime numbers, with code on GitHub.
