{"id":27240919,"url":"https://github.com/pushtogithub23/cube_rotational_symmetry","last_synced_at":"2025-07-21T17:33:28.362Z","repository":{"id":285120298,"uuid":"957115430","full_name":"Pushtogithub23/Cube_Rotational_Symmetry","owner":"Pushtogithub23","description":null,"archived":false,"fork":false,"pushed_at":"2025-03-29T16:14:34.000Z","size":21997,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-04-10T20:18:37.579Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":"Jupyter Notebook","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/Pushtogithub23.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"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":"2025-03-29T15:40:05.000Z","updated_at":"2025-03-29T16:14:37.000Z","dependencies_parsed_at":"2025-03-29T17:34:46.424Z","dependency_job_id":null,"html_url":"https://github.com/Pushtogithub23/Cube_Rotational_Symmetry","commit_stats":null,"previous_names":["pushtogithub23/cube_rotational_symmetry"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/Pushtogithub23/Cube_Rotational_Symmetry","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Pushtogithub23%2FCube_Rotational_Symmetry","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Pushtogithub23%2FCube_Rotational_Symmetry/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Pushtogithub23%2FCube_Rotational_Symmetry/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Pushtogithub23%2FCube_Rotational_Symmetry/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/Pushtogithub23","download_url":"https://codeload.github.com/Pushtogithub23/Cube_Rotational_Symmetry/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Pushtogithub23%2FCube_Rotational_Symmetry/sbom","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":266342809,"owners_count":23914262,"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","status":"online","status_checked_at":"2025-07-21T11:47:31.412Z","response_time":64,"last_error":null,"robots_txt_status":null,"robots_txt_updated_at":null,"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":[],"created_at":"2025-04-10T19:56:11.297Z","updated_at":"2025-07-21T17:33:28.338Z","avatar_url":"https://github.com/Pushtogithub23.png","language":"Jupyter Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Cube Rotational Symmetry Visualization\n\nThis repository uses Python to explore and visualise the rotational symmetry elements of a cube. The project demonstrates how a cube remains invariant when rotated about specific symmetry axes by certain angles.\n\n![cube_rotation_symmetry_1](https://github.com/user-attachments/assets/80ab2f6c-79b2-418b-9aa1-9dedbe654697)\n\n\n## Overview\n\nThe project visualizes three main types of rotational symmetry axes in a cube:\n\n1. **4-fold Axis of Symmetry(Tetrad)**: (3 axes)\n   - Passing through centres of opposite faces\n   - 90°, 180°, 270° rotations\n\n2. **2-fold Axis of Symmetry(Diad)**: (6 axes)\n   - Passing through midpoints of opposite edges\n   - 180° rotations\n\n3. **3-fold Axis of Symmetry(Triad)**: (4 axes)\n   - Passing through opposite vertices\n   - 120° and 240° rotations\n\n## Features\n\n- 3D visualization of a cube and its symmetry axes\n- Interactive rotations about different symmetry axes\n- Animated demonstrations of cube rotations\n- Detailed mathematical explanations of symmetry operations\n\n## Requirements\n\n- Python 3.x\n- NumPy\n- Scipy\n- Matplotlib\n- IPython\n- Jupyter Notebook\n\n## Usage\n\n1. Clone the repository\n2. Open `CubeSymmetryAxes.ipynb` in Jupyter Notebook\n3. Run the cells to visualize:\n   - Static cube representations\n   - Symmetry axes visualization\n   - Rotation animations\n\n## Visualizations\n\nThe repository includes:\n- Static images showing symmetry axes\n- GIF animations demonstrating rotations\n- 3D interactive plots\n\n## Acknowledgments\nThis project was created to explore geometric symmetry in 3D objects using Python visualization tools.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpushtogithub23%2Fcube_rotational_symmetry","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fpushtogithub23%2Fcube_rotational_symmetry","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fpushtogithub23%2Fcube_rotational_symmetry/lists"}