{"id":23796882,"url":"https://github.com/oniani/quincunx","last_synced_at":"2025-08-16T13:42:46.980Z","repository":{"id":270604774,"uuid":"909917901","full_name":"oniani/quincunx","owner":"oniani","description":"Multithreaded quincunx simulations","archived":false,"fork":false,"pushed_at":"2024-12-30T03:58:25.000Z","size":35,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-02-14T13:07:21.023Z","etag":null,"topics":["central-limit-theorem","multithreading","quincunx","rust","rust-lang","statistics"],"latest_commit_sha":null,"homepage":"","language":"Rust","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/oniani.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2024-12-30T03:57:17.000Z","updated_at":"2024-12-30T04:02:15.000Z","dependencies_parsed_at":"2025-01-01T18:44:54.040Z","dependency_job_id":"85834c66-3456-4c60-9970-cd1fb8c610aa","html_url":"https://github.com/oniani/quincunx","commit_stats":null,"previous_names":["oniani/quincunx"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/oniani%2Fquincunx","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/oniani%2Fquincunx/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/oniani%2Fquincunx/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/oniani%2Fquincunx/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/oniani","download_url":"https://codeload.github.com/oniani/quincunx/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":240030509,"owners_count":19736772,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["central-limit-theorem","multithreading","quincunx","rust","rust-lang","statistics"],"created_at":"2025-01-01T20:12:14.003Z","updated_at":"2025-02-21T14:29:17.200Z","avatar_url":"https://github.com/oniani.png","language":"Rust","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Quincunx\n\nA [quincunx][quincunx] is a device for statistical experiments that demonstrates the\n[Central Limit Theorem (CLT)][clt]. Specifically, it shows that, with sufficient sample size, the\n[binomial distribution][binomial] can approximate the [normal distribution][normal].\n\n## Running Experiments\n\n```console\n$ cargo run --release -- 11 1000 ./plot/1000.png\n```\n\n## Results\n\n|    10 Particles     |     100 Particles     |     1000 Particles      |\n| :-----------------: | :-------------------: | :---------------------: |\n| ![10 Particles][10] | ![100 Particles][100] | ![1000 Particles][1000] |\n\nResults clearly show that as the number of particles increases, the distribution gets more normal.\nThis is a visual proof of CLT which states that as the number of samples increases:\n\n1. The mean gets closer to the center\n2. The spread decreases\n3. The distribution gets approximately normal\n\n## License\n\n[MIT License][license]\n\n[quincunx]: https://en.wikipedia.org/wiki/Galton_board\n[clt]: https://en.wikipedia.org/wiki/Central_limit_theorem\n[binomial]: https://en.wikipedia.org/wiki/Binomial_distribution\n[normal]: https://en.wikipedia.org/wiki/Normal_distribution\n[10]: ./plot/10.png\n[100]: ./plot/100.png\n[1000]: ./plot/1000.png\n[license]: LICENSE\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Foniani%2Fquincunx","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Foniani%2Fquincunx","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Foniani%2Fquincunx/lists"}