{"id":24509543,"url":"https://github.com/timhutton/mobius-transforms","last_synced_at":"2026-01-02T20:05:28.408Z","repository":{"id":45074136,"uuid":"49450600","full_name":"timhutton/mobius-transforms","owner":"timhutton","description":"Exploring Möbius transformations and implementing the book Indra's Pearls","archived":false,"fork":false,"pushed_at":"2024-04-22T15:44:40.000Z","size":1875,"stargazers_count":40,"open_issues_count":3,"forks_count":1,"subscribers_count":5,"default_branch":"gh-pages","last_synced_at":"2025-01-22T00:24:27.565Z","etag":null,"topics":["geometry","maths"],"latest_commit_sha":null,"homepage":"http://timhutton.github.io/mobius-transforms/","language":"HTML","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/timhutton.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}},"created_at":"2016-01-11T19:57:02.000Z","updated_at":"2024-10-18T06:57:22.000Z","dependencies_parsed_at":"2024-02-28T23:32:03.320Z","dependency_job_id":"7aaa04f4-9e3d-4de8-8c1c-9996be1aa61a","html_url":"https://github.com/timhutton/mobius-transforms","commit_stats":null,"previous_names":[],"tags_count":2,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/timhutton%2Fmobius-transforms","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/timhutton%2Fmobius-transforms/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/timhutton%2Fmobius-transforms/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/timhutton%2Fmobius-transforms/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/timhutton","download_url":"https://codeload.github.com/timhutton/mobius-transforms/tar.gz/refs/heads/gh-pages","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":243709042,"owners_count":20334950,"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":["geometry","maths"],"created_at":"2025-01-22T00:21:46.642Z","updated_at":"2026-01-02T20:05:28.324Z","avatar_url":"https://github.com/timhutton.png","language":"HTML","funding_links":[],"categories":[],"sub_categories":[],"readme":"#### Contents: ####\n1. [Explore Möbius transformations](#1-explore-möbius-transformations)\n2. [Use random Möbius transformations to make an IFS fractal](#2-use-random-möbius-transformations-to-make-an-ifs-fractal)\n3. [Draw the limit set of a group of Möbius transformations](#3-draw-the-limit-set-of-a-group-of-möbius-transformations)\n\n# 1. Explore Möbius transformations: #\nLive demo: https://timhutton.github.io/mobius-transforms/\n[![vortices](https://user-images.githubusercontent.com/647092/148930629-d54c37e0-25bf-420d-b3f3-201f831a23c3.png)](http://timhutton.github.io/mobius-transforms/)\n\n# 2. Use random Möbius transformations to make an IFS fractal: #\nLive demo: https://timhutton.github.io/mobius-transforms/ifs.html\n[![IFS fractal](https://user-images.githubusercontent.com/647092/148929511-d36615ad-322b-4e82-9f33-5983493a6ba2.png)](https://timhutton.github.io/mobius-transforms/ifs.html)\n\nFor higher resolution images, there's a GPU version here: https://observablehq.com/@timhutton/mobius-ifs\n\n[![mobius_ifs_observable7](https://user-images.githubusercontent.com/647092/149247664-d9f6f0c3-e386-4280-a6ac-48e5d48a30f6.jpg)\n](https://observablehq.com/@timhutton/mobius-ifs)\n\n### More images: ###\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971212-415f49d5-42a1-4787-8836-3a8e0ffbbb95.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971212-415f49d5-42a1-4787-8836-3a8e0ffbbb95.png\"\u003e\u003c/a\u003e\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971221-e75ca8d5-5cc4-456a-a0df-fbc62d0470da.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971221-e75ca8d5-5cc4-456a-a0df-fbc62d0470da.png\"\u003e\u003c/a\u003e\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971229-9623d20e-8a36-4d25-ac89-42d738d8701b.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971229-9623d20e-8a36-4d25-ac89-42d738d8701b.png\"\u003e\u003c/a\u003e\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971225-ea4d196d-697b-42f2-9b41-9c2ef6375aa2.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971225-ea4d196d-697b-42f2-9b41-9c2ef6375aa2.png\"\u003e\u003c/a\u003e\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971236-3d2b37fe-0464-4ebe-b5e4-0588ef631b1c.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971236-3d2b37fe-0464-4ebe-b5e4-0588ef631b1c.png\"\u003e\u003c/a\u003e\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971239-b4a5f9a4-bc9d-4edb-90e6-2cb5ce13342d.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971239-b4a5f9a4-bc9d-4edb-90e6-2cb5ce13342d.png\"\u003e\u003c/a\u003e\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971243-8ca76b6a-1fbb-485a-9db7-a87897f855bd.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971243-8ca76b6a-1fbb-485a-9db7-a87897f855bd.png\"\u003e\u003c/a\u003e\n\u003ca href=\"https://user-images.githubusercontent.com/647092/148971246-d443c519-601a-40da-99b3-f80550c08473.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971246-d443c519-601a-40da-99b3-f80550c08473.png\"\u003e\u003c/a\u003e\n\u003c!--\u003ca href=\"https://user-images.githubusercontent.com/647092/148971249-b86bbc66-63e0-498b-99a5-c572a7f41b68.png\"\u003e\u003cimg width=\"200px\" src=\"https://user-images.githubusercontent.com/647092/148971249-b86bbc66-63e0-498b-99a5-c572a7f41b68.png\"\u003e\u003c/a\u003e--\u003e\n\n# 3. Draw the limit set of a group of Möbius transformations: # \nLive demo: https://timhutton.github.io/mobius-transforms/dfs_recipes.html\n[![screenshot](https://user-images.githubusercontent.com/647092/149700898-0bb9dc2c-0b15-40a7-a405-ea92a7cd0caf.png)](https://timhutton.github.io/mobius-transforms/dfs_recipes.html)\n\nExample of SVG output:\n![svg_screenshot](https://user-images.githubusercontent.com/647092/149701451-60dde800-6a7b-47e7-9f59-36852378a5dd.png)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Ftimhutton%2Fmobius-transforms","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Ftimhutton%2Fmobius-transforms","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Ftimhutton%2Fmobius-transforms/lists"}