{"id":51563953,"url":"https://github.com/michael-borck/bowling-scoring-mathematics","last_synced_at":"2026-07-10T13:02:36.240Z","repository":{"id":368377597,"uuid":"1188519730","full_name":"michael-borck/bowling-scoring-mathematics","owner":"michael-borck","description":"Formalizes ten-pin bowling scoring as a mathematical object, analyzing its domain, recursive structure, state space, symmetry properties, and score distributions.","archived":false,"fork":false,"pushed_at":"2026-06-30T08:56:41.000Z","size":75,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":0,"default_branch":"main","last_synced_at":"2026-06-30T10:27:20.578Z","etag":null,"topics":["bowling","formal-methods","mathematical-analysis","mathematics","probability-distribution","research","scoring-system","teaching"],"latest_commit_sha":null,"homepage":null,"language":"Python","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/michael-borck.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,"zenodo":null,"notice":null,"maintainers":null,"copyright":null,"agents":null,"dco":null,"cla":null}},"created_at":"2026-03-22T07:32:34.000Z","updated_at":"2026-06-30T10:10:37.000Z","dependencies_parsed_at":null,"dependency_job_id":null,"html_url":"https://github.com/michael-borck/bowling-scoring-mathematics","commit_stats":null,"previous_names":["michael-borck/bowling-scoring-mathematics"],"tags_count":null,"template":false,"template_full_name":null,"purl":"pkg:github/michael-borck/bowling-scoring-mathematics","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/michael-borck%2Fbowling-scoring-mathematics","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/michael-borck%2Fbowling-scoring-mathematics/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/michael-borck%2Fbowling-scoring-mathematics/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/michael-borck%2Fbowling-scoring-mathematics/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/michael-borck","download_url":"https://codeload.github.com/michael-borck/bowling-scoring-mathematics/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/michael-borck%2Fbowling-scoring-mathematics/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":35331955,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-05-26T15:22:16.424Z","status":"online","status_checked_at":"2026-07-10T02:00:06.465Z","response_time":60,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"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":["bowling","formal-methods","mathematical-analysis","mathematics","probability-distribution","research","scoring-system","teaching"],"created_at":"2026-07-10T13:02:35.177Z","updated_at":"2026-07-10T13:02:36.146Z","avatar_url":"https://github.com/michael-borck.png","language":"Python","funding_links":[],"categories":[],"sub_categories":[],"readme":"# The Mathematics of Ten-Pin Bowling\n\n**A Formal Analysis of the Traditional Scoring System**\n\nThis project develops a rigorous mathematical treatment of the traditional ten-pin bowling scoring function. We characterise the scoring system as a formal object -- defining its domain, range, recursive structure, state space, symmetry properties, dependency graph, and score distribution -- and investigate extremal problems, information content, and natural generalisations.\n\n## Target Venue\n\nMathematics Magazine, The College Mathematics Journal, or The American Mathematical Monthly\n\n## Project Structure\n\n```\ndata/           Computed distributions and tables\nsrc/            Core scoring and distribution code\nnotebooks/      Exploratory analysis notebooks\nfigures/        Publication-quality figures\npaper/          Manuscript drafts and research plan\nreferences/     Key papers and background material\ntests/          Unit tests\n```\n\n## Related Projects\n\nThis is one of three papers in a series on bowling scoring mathematics:\n\n1. **Skill, Sequence, and Scoring** (JQAS) -- scoring system comparison via simulation\n2. **Win Probability Analysis** (JQAS) -- in-game win probability model\n3. **This paper** (Mathematics Magazine) -- pure mathematical analysis of the scoring function\n\n## Key References\n\n- Cooper \u0026 Kennedy (1990). \"A Generating Function for the Distribution of the Scores of all Possible Bowling Games.\" *Mathematics Magazine*, 63(4), 239-243\n- Hohn (2009). \"Generalized Probabilistic Bowling Distributions.\" WKU Masters Thesis\n- Balmoral Software. \"All About Bowling Scores.\" balmoralsoftware.com\n- VanDerwerken \u0026 Kenter (2018). \"A Generative Markov Model for Bowling Scores.\" *JQAS*, 14(4), 213-226\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmichael-borck%2Fbowling-scoring-mathematics","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fmichael-borck%2Fbowling-scoring-mathematics","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmichael-borck%2Fbowling-scoring-mathematics/lists"}