Infinite March madness How often will the $1$-seed make the final four when there are $(2^d-1)$ worse teams in their region? Posted on March 24, 2025 Tags: recursion trees
Diametric shore If you wake up in a random spot on a semi-circular island, how far is the beach, probably? Posted on March 16, 2025 Tags: geometry pdf cdf conditional-probability
Can you spin the graph? If you tumble your function is it still a function? Posted on February 2, 2025 Tags: spherical-geometry vectors
Can you hop to the lily pad? The further you go, the harder it gets. Posted on January 25, 2025 Tags: master-equation recursion
Lines of equidistance What's the chance that two random points in the square are equidistant from some random point on the side that's closest to one of them? Posted on December 1, 2024 Tags: geometry distance intermediate-value-theorem
Stable tiles How to defy the laws of physics in service of age 3+ entertainment. Posted on November 17, 2024 Tags: symmetry optimization
Peloton leaderboard How great will you be if you're average in the middle? Posted on October 14, 2024 Tags: statistics
Tree-edge triage Can you taunt your friend forever? Posted on September 1, 2024 Tags: recursion phase-transitions game-theory jane-street
Drifting around How often will the round of the sums be the sum of the rounds? Posted on August 26, 2024 Tags: random-walks approximation
Judging judging How often are we penalizing our bravest gymnasts? Posted on August 11, 2024 Tags: geometry