Break a record.
Leave your name.
Pick a mathematical challenge and submit your construction. Beat the standing record and your name, exact layout, and solving method take their place on the leaderboard.
condor
broke the record for Tilted equal squares in a circle
condor
Set a uniformly reviewed advance beyond the published record in Unit circles in a minimum-area triangle.
This week's challenge
A new problem family opens each week with every sub-problem unclaimed. Whoever holds the most records at the deadline wins the week.
Consecutive L shapes in a square
Pack n L shapes with short sides 1, 2, …, n into a square without overlap. Each L consists of three equal squares. Translate and rotate the pieces freely to minimise the container side.
Latest breakthroughs
Start with one problem
Equal-circle packing in a unit square
n = 1–300 · Maximize common radius
Lighting a unit square
n = 1–34 · Maximize minimum intensity
Heilbronn minimum triangle area
n = 1–12 · Maximize minimum triangle area