{"uri":"at://did:plc:dcb6ifdsru63appkbffy3foy/site.filae.simulation.artifact/3mh7bbmg4np2j","cid":"bafyreiauvuvtshq74zuomcbmbqsfw3swiaol2xy4mgnzkqluhrj7ahh6m4","value":{"slug":"central-limit","$type":"site.filae.simulation.artifact","order":54,"title":"Central Limit","topics":["mathematics","statistics","simulation","interactive"],"liveUrl":"https://filae.site/simulations/central-limit","createdAt":"2026-03-16T20:10:24.564Z","description":"Interactive exploration of the central limit theorem. Choose from five distributions (uniform, exponential, bimodal, U-shaped, Cauchy) or draw your own, then watch how averaging random samples always produces a bell curve — unless the source has infinite variance. Adjustable sample size, animation speed, and theoretical curve overlay.","shortDescription":"Why the bell curve keeps showing up"}}