{"id":21228966,"url":"https://github.com/quantum-software-development/torus-quantum-magnetic-field","last_synced_at":"2025-07-10T15:31:42.816Z","repository":{"id":155835666,"uuid":"630752570","full_name":"Quantum-Software-Development/Torus-Quantum-Magnetic-Field","owner":"Quantum-Software-Development","description":"Torus - Quantum Magnetic Field","archived":false,"fork":false,"pushed_at":"2024-07-20T16:53:17.000Z","size":467,"stargazers_count":4,"open_issues_count":12,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2024-07-20T17:59:33.690Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":"https://github.com/Quantum-Software-Development/README","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/Quantum-Software-Development.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":".github/FUNDING.yml","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},"funding":{"github":"Quantum-Software-Developmen","Custom":"https://github.com/sponsors/Quantum-Software-Development/card"}},"created_at":"2023-04-21T04:32:40.000Z","updated_at":"2024-07-20T16:53:19.000Z","dependencies_parsed_at":"2024-01-07T04:33:52.251Z","dependency_job_id":"102fff05-6f56-4a83-b0fe-02b71541174c","html_url":"https://github.com/Quantum-Software-Development/Torus-Quantum-Magnetic-Field","commit_stats":null,"previous_names":["quantum-software-development/readme","quantum-software-development/torus-quantum-magnetic-field"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Quantum-Software-Development%2FTorus-Quantum-Magnetic-Field","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Quantum-Software-Development%2FTorus-Quantum-Magnetic-Field/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Quantum-Software-Development%2FTorus-Quantum-Magnetic-Field/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Quantum-Software-Development%2FTorus-Quantum-Magnetic-Field/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/Quantum-Software-Development","download_url":"https://codeload.github.com/Quantum-Software-Development/Torus-Quantum-Magnetic-Field/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":225644595,"owners_count":17501555,"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":[],"created_at":"2024-11-20T23:23:42.900Z","updated_at":"2025-07-10T15:31:42.790Z","avatar_url":"https://github.com/Quantum-Software-Development.png","language":"Python","funding_links":["https://github.com/sponsors/Quantum-Software-Developmen","https://github.com/sponsors/Quantum-Software-Development/card","https://github.com/sponsors/Quantum-Software-Development"],"categories":[],"sub_categories":[],"readme":"\u003cbr\u003e\n\n## \u003cp align=\"center\"\u003e [𑁍 Torus](https://github.com/Quantum-Software-Development/Torus-Quantum-Magnetic-Field/assets/113218619/09a5178b-6da8-458c-a30c-fb7d6af3c84c) - Quantum Magnetic Field\u003cbr\u003e\n\n\u003c!--\nℒℯ𝒶𝓇𝓃 𝓉ℴ 𝓈ℯℯ. ℛℯ𝒶𝓁𝒾𝓏ℯ 𝓉𝒽𝒶𝓉 ℯ𝓋ℯ𝓇𝓎𝓉𝒽𝒾𝓃𝑔 𝒾𝓈 𝒸ℴ𝓃𝓃ℯ𝒸𝓉ℯ𝒹 𝓉ℴ ℯ𝓋ℯ𝓇𝓎𝓉𝒽𝒾𝓃𝑔 ℯ𝓁𝓈ℯ.\n--\u003e\n\n####  \u003cp align=\"center\"\u003e  ✍🏻 𝑳𝒆𝒂𝒓𝒏 𝒕𝒐 𝒔𝒆𝒆. 𝑹𝒆𝒂𝒍𝒊𝒛𝒆 𝒕𝒉𝒂𝒕 𝒆𝒗𝒆𝒓𝒚𝒕𝒉𝒊𝒏𝒈 𝒊𝒔 𝒄𝒐𝒏𝒏𝒆𝒄𝒕𝒆𝒅 𝒕𝒐 𝒆𝒗𝒆𝒓𝒚𝒕𝒉𝒊𝒏𝒈 𝒆𝒍𝒔𝒆. ✨\n#####  \u003cp align=\"center\"\u003e [Leonardo da Vinci ]()\n\n\u003cbr\u003e\u003cbr\u003e\n\n\u003c!--### \u003cp align=\"center\"\u003e  \u003cimg src=\"https://github.githubassets.com/images/icons/emoji/octocat.png\" width=\"46\"\u003e  --\u003e\n### \u003cp align=\"center\"\u003e [![Sponsor Quantum Software Development](https://img.shields.io/badge/Sponsor-Quantum%20Software%20Development-brightgreen?logo=GitHub)](https://github.com/sponsors/Quantum-Software-Development)\n\n\n\u003cbr\u003e\u003cbr\u003e\n\n\n## Torus [Mathematically Speaking:](https://github.com/Quantum-Software-Development/README/blob/de863aea73ea56558093652acb707ef038f17217/torus_pgfplots_package.tex)\n### The torus is a doughnut-shaped surface in three-dimensional space, described by the following parametric equations:\n\n\u003cbr\u003e\n\n### 🌀 Parametric [Equations of a Torus]():\n\n\u003cbr\u003e\n\n$$\\color{DodgerBlue} \\large \\begin{align*}\nx(\\theta, \\phi) \u0026= (R + r \\cos \\theta) \\cos \\phi \\\\\ny(\\theta, \\phi) \u0026= (R + r \\cos \\theta) \\sin \\phi \\\\\nz(\\theta, \\phi) \u0026= r \\sin \\theta\n\\end{align*}$$\n\n```latex\n\\begin{cases}\nx(u,v) = (R + r \\cos v) \\cos u \\\\\ny(u,v) = (R + r \\cos v) \\sin u \\\\\nz(u,v) = r \\sin v \\\\\n\\text{where } u \\in [0, 2\\pi],\\ v \\in [0, 2\\pi]\n\\end{cases}\n```\n\n\u003cbr\u003e\n\n\n### [**Variables:**]():\n\n- $R$: major radius — the distance from the center of the torus to the center of the tube  \n- $r$: minor radius — the radius of the tube itself  \n- $u$: angle around the main axis (longitudinal rotation)  \n- $v$: angle around the tube (cross-sectional rotation)\n\n\u003cbr\u003e  \n\n### ***These equations describe a 3D surface by sweeping a circle of radius $$r$$ around an axis located at a distance $$R$$ from the circle's center***.\n\nYou can visualize the torus as a **donut-shaped surface** where:  \n- The whole shape rotates around the z-axis via $$u$$  \n- The circular cross-section rotates via $$v$$\n\n\u003cbr\u003e\n\n***Use these equations in 3D rendering engines, mathematical software, or simulations involving [Toroidall Geometry]()***.\n\n\u003cbr\u003e\n\n#### ➢  Space and Time - Vedic Cosmology - Consciousness - Entropy - Yuga's Cicle - [From Kali Yuga to Satya Yuga (SHIFT)]()\n\nhttps://github.com/user-attachments/assets/0b3673b6-5fff-40b8-b3ba-2bf0e906f1d2\n\n#### ➢➣➢  [Click here](https://youtu.be/C0fer40y5hk?si=euaqW_4iVt2Tbh2h) to watch the full video in high resolution and dive deeper into the study 🪷\n\n\n\n\u003cbr\u003e\n \n\n#### ➣ Demo : Torus - Quantum Realities - [Teleporting - Space and Time]()  👇\n\nhttps://github.com/user-attachments/assets/ac93a6f2-c081-4811-b607-fa0c0c663c20\n\n\u003cbr\u003e\n\n\n\n## [Multimedia Content]()that provides a visual representation of the concepts discussed.\n\n\u003cbr\u003e\n\n#### ➢ [Creation and Dissolution of Torus Energy]()\n\n\u003cbr\u003e\n\nhttps://github.com/user-attachments/assets/1313ed1d-e8f6-47d1-a47d-43d20824c0a6\n\n\n\u003cbr\u003e\n\n#### ➢  [Torus Entanglement Magnectic Field - Consciousness - SpaceTime]()\n\nhttps://github.com/user-attachments/assets/97c545cc-6a4c-457d-8f78-1d44363a58e6\n\n\u003cbr\u003e\n\n#### ➢  ⚚ [Ancient Sacred Geometry from [Quatria](https://github.com/user-attachments/assets/25f9776f-ddb9-4f26-8890-966db6b58b11)\n\nhttps://github.com/user-attachments/assets/49392ec6-7d5a-4675-b0f2-a67f998c8866\n\n\u003cbr\u003e\n\n\n## [Introduction]()\n\nWelcome to the exploration of the Torus and its applications in quantum magnetic fields. This repository is dedicated to understanding the intricate relationship between the toroidal shape and magnetic fields in various contexts, from the microcosmic scale of quantum physics to the macrocosmic scale of astrophysics.\n\n\u003cbr\u003e\n\n### [***Don't turn around, if the goal is the stars***]().(Leonardo Da Vinci)\n\n\u003cbr\u003e\n\n## [Important Note]():\n\nWe encourage collaboration and discussion on these fascinating topics. If you have any questions or contributions, please feel free to open an issue or submit a pull request.\n\n\n\u003cbr\u003e\n\n\n## [Torus Quantum Magnetic Field]():\n\nThe torus is a fundamental shape in the study of quantum magnetic fields. This section delves into the creation and dissolution of a torus energy field, exploring how the toroidal geometry plays a crucial role in magnetic confinement and quantum field theory.\n\n\u003cbr\u003e\n\n## [Additional Topics]():\n\n- [**Da Vinci's Divine Proportion**](): Investigate the torus in the context of Leonardo da Vinci's studies on divine proportions and its implications in art and science.\n\n\u003cbr\u003e\n  \n\u003cp align=\"center\"\u003e\n\u003cimg src=\"https://github.com/Quantum-Software-Development/README/assets/113218619/38e289a9-28f7-4fd7-b6db-a25400bdc7be\"/\u003e\n\n\n\u003cbr\u003e\n\n \u003cp align=\"center\"\u003e ✠ ─── ⋆⋅ 𝛂 ♂️ ⋅⋆ ── 𓋹 ─── ⋆⋅♀️ Ω ⋅⋆ ── ✠ \n \n\u003cbr\u003e\n\n\u003cp align=\"center\"\u003e\n\u003cimg src=\"https://github.com/Quantum-Software-Development/README/assets/113218619/a9a31377-6456-43c8-93d0-45c07fb2e655\"/\u003e\n*Lσ Rιɳɠɾαȥιαɱσ Dα Vιɳƈι !*\n\n#\n\n\u003cbr\u003e\n\n### - [**Human Body Magnetic Quantum Field**](): Explore the concept of the human body's magnetic field and its potential toroidal structure.\n\n\u003cbr\u003e\n\n  \n\u003cp align=\"center\"\u003e\n\u003cimg src=\"https://github.com/Quantum-Software-Development/Torus-Quantum-Magnetic-Field/assets/113218619/c7bc3fc7-d463-4fbe-8d14-55d3461d2ef3\"/\u003e\n\n\u003cbr\u003e\n\n### - [Entangled Torus Field Dynamics](): The Role of the Heart in Human Bioenergetics\n\n\u003cbr\u003e\n\n#### **Cognitive and emotional states modulate the heart’s magnetic field, which can in turn influence the energetic state of people nearby—consciously or not.**\n\n\u003cbr\u003e\n\n\u003cp align=\"center\"\u003e\n  \u003cimg src=\"https://github.com/user-attachments/assets/eff26bf3-1238-423c-b893-8c9d39a63482\" width=\"800\"/\u003e\n\u003c/p\u003e\n\n\u003c!--\n\u003cp align=\"center\"\u003e\n\u003cimg src=\"https://github.com/user-attachments/assets/eff26bf3-1238-423c-b893-8c9d39a63482\"/\u003e\n--\u003e\n\n\n\u003cbr\u003e\n\n###  - [**Earth Magnetic Field**](): Examine the Earth's magnetic field, which can also be modeled as a torus, and its significance in protecting our planet from solar winds.\n\n\u003cbr\u003e\n\n \u003cp align=\"center\"\u003e\n\u003cimg src=\"https://github.com/Quantum-Software-Development/README/assets/113218619/e78a928d-1756-4c96-bd38-da05b89743bf\"/\u003e\n\n\u003cbr\u003e\n\n\n## Torus [Code]():\n\n\u003cbr\u003e\n\nThis repository also includes code that demonstrates the generation of a Torus in a programming environment. The code is a practical representation of the parametric equations of the Torus and allows users to visualize and interact with the toroidal shape.\n\n\u003cbr\u003e\n\n## [Python Code Example to Generate a Torus\n]():\n\u003cbr\u003e\n\n```python\nimport numpy as np\nimport matplotlib.pyplot as plt\nfrom mpl_toolkits.mplot3d import Axes3D\n\n# Define the parameters for the torus\nR = 1  # Major radius\nr = 0.4  # Minor radius\n\n# Create a mesh grid for the angles\ntheta = np.linspace(0, 2 * np.pi, 100)\nphi = np.linspace(0, 2 * np.pi, 100)\ntheta, phi = np.meshgrid(theta, phi)\n\n# Parametric equations for the torus\nX = (R + r * np.cos(theta)) * np.cos(phi)\nY = (R + r * np.cos(theta)) * np.sin(phi)\nZ = r * np.sin(theta)\n\n# Create the figure and 3D axis\nfig = plt.figure()\nax = fig.add_subplot(111, projection='3d')\n\n# Plot the surface with color mapping\nax.plot_surface(X, Y, Z, rstride=5, cstride=5, cmap='coolwarm', edgecolor='none')\n\n# Set the limits of the plot\nax.set_xlim([-2, 2])\nax.set_ylim([-2, 2])\nax.set_zlim([-2, 2])\n\n# Set the viewpoint\nax.view_init(elev=20, azim=30)\n\n# Show the plot\nplt.show()\n```\n\n\u003cbr\u003e\n\n## Code Explanation\n\n\u003cbr\u003e\n\nThe code provided is a Python script that generates a three-dimensional plot of a torus using the matplotlib library.\n\n\u003cbr\u003e\n\n## Step-by-Step explanation of what each part of the code does:\n\n\u003cbr\u003e\n\n```python\nimport numpy as np\nimport matplotlib.pyplot as plt\nfrom mpl_toolkits.mplot3d import Axes3D\n```\n\n  \u003cbr\u003e\n\nThese lines import the necessary libraries:\n\n- numpy for numerical operations,\n  \n- matplotlib.pyplot for plotting graphs,\n  \n- mpl_toolkits.mplot3d for 3D plotting capabilities.\n\n\n  \u003cbr\u003e\n\n```python\nR = 1  # Major radius\nr = 0.4  # Minor radius\n```\n\n\u003cbr\u003e\n\nHere, R and r are defined as the major and minor radii of the torus, respectively.\n\n \u003cbr\u003e\n  \n\n```python\n# Defining the parametric equations of the Torus\ntheta = np.linspace(0, 2 * np.pi, 100)\nphi = np.linspace(0, 2 * np.pi, 100)\ntheta, phi = np.meshgrid(theta, phi)\n```\n\u003cbr\u003e\n\nThese lines create two arrays theta and phi with values ranging from 0 to (2\\pi), which represent the angular parameters of the torus. np.meshgrid is then used to create a 2D grid of these angles.\n\n\u003cbr\u003e\n\n```python\nX = (R + r * np.cos(theta)) * np.cos(phi)\nY = (R + r * np.cos(theta)) * np.sin(phi)\nZ = r * np.sin(theta)\n```\n\n\u003cbr\u003e\n\nThe parametric equations for the torus are defined here, calculating the (X), (Y), and (Z) coordinates for each point on the torus surface.\n\n\u003cbr\u003e\n\n```python\n# Create the figure and 3D axis\nfig = plt.figure()\nax = fig.add_subplot(111, projection='3d')\n```\n\u003cbr\u003e\n\nA new figure is created, and a 3D subplot is added to this figure.\n\n\u003cbr\u003e\n\n```python\n# Plot the surface with color mapping\nax.plot_surface(X, Y, Z, rstride=5, cstride=5, cmap='coolwarm', edgecolor='none')\n```\n\nThis line plots the surface of the torus. rstride and cstride control the row and column stride, cmap sets the color map, and edgecolor is set to ‘none’ to not draw borders around the surface patches.\n\n\u003cbr\u003e\n\n```python\n# Set the limits of the plot\nax.set_xlim([-2, 2])\nax.set_ylim([-2, 2])\nax.set_zlim([-2, 2])\n```\n\n\u003cbr\u003e\n\nThe limits of the (x), (y), and (z) axes are set to range from -2 to 2.\n\n\u003cbr\u003e\n\n```python\n# Set the viewpoint\nax.view_init(elev=20, azim=30)\n```\n\n\u003cbr\u003e\n\nThe viewpoint of the plot is set with an elevation of 20 degrees and an azimuth of 30 degrees.\n\n\u003cbr\u003e\n\n```python\nplt.show()\n```\n\nFinally, this line displays the following plot.\n\n \u003cp align=\"center\"\u003e\n\u003cimg src=\"https://github.com/Quantum-Software-Development/Torus-Quantum-Magnetic-Field/assets/113218619/34dd8a59-a676-4a6d-be59-d938199ced7e \"/V\n\n\nEach part of the code contributes to creating a visual representation of a torus in 3D space, with specific coloring and viewpoint settings\n\nThis script is a practical application of mathematical concepts in computer graphics and can be used for educational purposes or in simulations that require a visual representation of a torus.\n\nIf you have any questions or need further clarification, feel free to open a pull request and ask.\n\n#\n\n \u003cp align=\"center\"\u003e\n\u003cimg src=\"https://github.com/user-attachments/assets/bd0be361-3b23-4786-9345-9676982b20a4\"/\u003e\n\n#\n\n###### \u003cp align=\"center\"\u003e [Copyright 2025 Quantum Software Development. Code released under the MIT license.](https://github.com/Quantum-Software-Development/README/blob/161b677c5a791f0ca8219b8e934f1cf353d5b85d/LICENSE)\n\n\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fquantum-software-development%2Ftorus-quantum-magnetic-field","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fquantum-software-development%2Ftorus-quantum-magnetic-field","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fquantum-software-development%2Ftorus-quantum-magnetic-field/lists"}