https://github.com/quantum-software-development/tesseract
Tesseract - four-dimensional analogue
https://github.com/quantum-software-development/tesseract
Last synced: 9 months ago
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Tesseract - four-dimensional analogue
- Host: GitHub
- URL: https://github.com/quantum-software-development/tesseract
- Owner: Quantum-Software-Development
- License: mit
- Created: 2023-04-29T04:02:27.000Z (almost 3 years ago)
- Default Branch: main
- Last Pushed: 2025-04-21T22:15:32.000Z (9 months ago)
- Last Synced: 2025-04-21T23:23:48.800Z (9 months ago)
- Language: HTML
- Homepage: https://github.com/Quantum-Software-Development/Tesseract
- Size: 771 KB
- Stars: 4
- Watchers: 1
- Forks: 0
- Open Issues: 2
-
Metadata Files:
- Readme: README.md
- Funding: .github/FUNDING.yml
- License: LICENSE
- Security: SECURITY.md
Awesome Lists containing this project
README
## 🧊 [Tesseract](): A Gateway to Higher Dimensions and Quantum Physics - [Time Travel Through Dimensions]()
Welcome to the **Tesseract** repository! This project is dedicated to the study and exploration of the **Tesseract**, a four-dimensional analogy of a cube. Here, you will find resources, simulations, and mathematical insights that help visualize and better understand the properties of **higher-dimensional geometric figures** and their fascinating connection to **Quantum Physics**.
## 🌌 Project Overview
The **Tesseract**, also known as a **hypercube**, extends conventional geometry into the **fourth dimension**. This concept is not just a mathematical curiosity—it has profound implications in physics, particularly in areas like **quantum mechanics, superstring theory, and spacetime models**.
This repository provides:
- **Tesseract Simulations**: Visual representations of a Tesseract projected into three dimensions.
- **Mathematical Algorithms**: Methods for computing and understanding the properties of four-dimensional objects.
- **Quantum Physics Insights**: How higher dimensions relate to quantum phenomena like entanglement, parallel universes, and extra-dimensional theories.
## 🔬 The Connection Between Tesseracts and Quantum Physics
The concept of higher dimensions plays a critical role in **quantum mechanics and theoretical physics**. Some key connections include:
- **Quantum Superposition & Higher Dimensions**: Quantum systems exist in multiple states simultaneously, much like how a Tesseract exists in four dimensions but appears differently when projected into lower dimensions.
- **Entanglement & Nonlocality**: Extra-dimensional spaces may offer explanations for quantum entanglement, where particles interact instantaneously across vast distances.
- **String Theory & Extra Dimensions**: Theoretical physics suggests that additional dimensions (like the 4th spatial dimension) could be fundamental to the fabric of reality.
## Understand Dimensions and Oneness
https://github.com/user-attachments/assets/79942968-79db-422a-861f-bba67db90a9a
## 🚀 Getting Started
To start exploring the Tesseract and its relation to quantum physics:
1. **Clone the repository:**
```sh
git clone https://github.com/Quantum-Software-Development/Tesseract.git
```
2. **Navigate to the assets directory** to find simulation resources.
3. **Follow the installation instructions** provided in the `INSTALL.md` file.
4. **Run the Tesseract Visualization Code** step by step to generate a 3D projection of a hypercube:
### Step 1: Import the required libraries
```python
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
```
### Step 2: Define the function to draw a Tesseract
```python
# Function to draw a Tesseract
def draw_tesseract(ax):
# Points of a cube in 3D
points = np.array([[1, 1, 1],
[-1, 1, 1],
[-1, -1, 1],
[1, -1, 1],
[1, 1, -1],
[-1, 1, -1],
[-1, -1, -1],
[1, -1, -1]])
# Lines that connect the points to form a cube
lines = [[points[i], points[j]] for i in range(len(points)) for j in range(i+1, len(points)) if np.sum(np.abs(points[i] - points[j])) == 2]
# Draw each line of the cube
for line in lines:
ax.plot3D(*zip(*line), color="b")
```
### Step 3: Create a 3D figure and axis
```python
# Create a figure and a 3D axis
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
```
### Step 4: Draw the Tesseract and set axis limits
```python
# Draw the Tesseract
draw_tesseract(ax)
# Set the axis limits
ax.set_xlim([-2, 2])
ax.set_ylim([-2, 2])
ax.set_zlim([-2, 2])
```
### Step 5: Display the plot
```python
# Show the plot
plt.show()
```
🌟 **Join us in exploring the mysteries of higher dimensions and their role in quantum reality!** 🚀
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[Copyright 2025 Quantum Software Development. Code released under the MIT license.](https://github.com/Quantum-Software-Development/Tesseract/blob/6b429d3539b048ee43670235c5b97fe918efda89/LICENSE)