JetPacker is a continuously-updated, independently-verified catalogue of optimal packings: the tightest known arrangements of N copies of an inner shape inside a container shape. Inner and container shapes include the regular polygons (triangle, square, pentagon, hexagon, … up to the 100-gon), the right-isosceles triangle (“tan”), the 1×2 domino, the circle, and the L-tromino. Each result lists the optimal scale, the exact closed-form value when the configuration tiles or has one, and a downloadable JSON layout.
Created and maintained by Frederic Laing.
Example result pages: 9 squares in a square (/p/r4/r4/9), 6 triangles in a hexagon (/p/r3/r6/6). A machine-readable sitemap of every result is at /api/sitemap.xml; AI agents, see /llms.txt.