{"id":26052565,"url":"https://github.com/qalle2/plato","last_synced_at":"2026-03-10T01:32:49.061Z","repository":{"id":171908773,"uuid":"144289184","full_name":"qalle2/plato","owner":"qalle2","description":"Platonic solids for OpenSCAD","archived":false,"fork":false,"pushed_at":"2021-02-10T20:35:37.000Z","size":24,"stargazers_count":5,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-03-08T06:42:10.583Z","etag":null,"topics":["3d-geometry","geometry","openscad"],"latest_commit_sha":null,"homepage":"","language":"OpenSCAD","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"gpl-3.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/qalle2.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":"2018-08-10T13:24:44.000Z","updated_at":"2023-04-23T20:44:39.000Z","dependencies_parsed_at":null,"dependency_job_id":"2927e867-471c-45cc-87be-328f8814cacf","html_url":"https://github.com/qalle2/plato","commit_stats":null,"previous_names":["qalle2/plato"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/qalle2/plato","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/qalle2%2Fplato","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/qalle2%2Fplato/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/qalle2%2Fplato/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/qalle2%2Fplato/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/qalle2","download_url":"https://codeload.github.com/qalle2/plato/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/qalle2%2Fplato/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":30320889,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-03-09T20:05:46.299Z","status":"ssl_error","status_checked_at":"2026-03-09T19:57:04.425Z","response_time":61,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.6:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"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":["3d-geometry","geometry","openscad"],"created_at":"2025-03-08T06:41:03.412Z","updated_at":"2026-03-10T01:32:49.050Z","avatar_url":"https://github.com/qalle2.png","language":"OpenSCAD","funding_links":[],"categories":[],"sub_categories":[],"readme":"# plato\n*Note: This project has been moved to [Codeberg](https://codeberg.org/qalle/openscad-solids). This version will no longer be updated.*\n\nThe non-built-in Platonic solids for OpenSCAD:\n* regular tetrahedron (four faces)\n* regular octahedron (eight faces)\n* regular dodecahedron (12 faces)\n* regular icosahedron (20 faces)\n\n## Screenshot\n![screenshot](plato.png)\n\n## References\nWikipedia:\n* [Platonic solid](https://en.wikipedia.org/wiki/Platonic_solid)\n* [equilateral triangle](https://en.wikipedia.org/wiki/Equilateral_triangle)\n* [regular tetrahedron](https://en.wikipedia.org/wiki/Tetrahedron#Regular_tetrahedron)\n* [regular octahedron](https://en.wikipedia.org/wiki/Octahedron#Regular_octahedron)\n* [regular dodecahedron](https://en.wikipedia.org/wiki/Regular_dodecahedron)\n* [regular icosahedron](https://en.wikipedia.org/wiki/Regular_icosahedron)\n\n## Math\n*a* denotes the edges of all the solids.\n\nphi:\n* *\u0026phiv;* = (1 + \u0026radic;5) / 2\n* *\u0026phiv;*\u0026sup2; = *\u0026phiv;* + 1\n\n### Regular tetrahedron\n* incircle (faces): *r* = \u0026radic;(3) / 6 \u0026times; *a*\n* circumcircle (faces): *R* = \u0026radic;(3) / 3 \u0026times; *a*\n* insphere: *r* = \u0026radic;(6) / 12 \u0026times; *a*\n* circumsphere: *R* = \u0026radic;(6) / 4 \u0026times; *a*\n\n### Regular octahedron\n* circumsphere: *R* = \u0026radic;(2) / 2 \u0026times; *a*\n\n### Regular dodecahedron\nIf *a* = 2/*\u0026phiv;*, the coordinates of the vertices are:\n* (\u0026plusmn;1, \u0026plusmn;1, \u0026plusmn;1)\n* circular permutations of (0, \u0026plusmn;*\u0026phiv;*, \u0026plusmn;1/*\u0026phiv;*)\n\nTo get coordinates for *a* = 1, multiply them by *\u0026phiv;*/2:\n* (\u0026plusmn;*\u0026phiv;*/2, \u0026plusmn;*\u0026phiv;*/2, \u0026plusmn;*\u0026phiv;*/2)\n* circular permutations of (0, \u0026plusmn;(*\u0026phiv;*+1)/2, \u0026plusmn;\u0026frac12;)\n\n### Regular icosahedron\nCoordinates of vertices if *a* = 1:\n* circular permutations of (0, \u0026plusmn;\u0026frac12;, \u0026plusmn;*\u0026phiv;*/2)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fqalle2%2Fplato","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fqalle2%2Fplato","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fqalle2%2Fplato/lists"}