---
license: mit
task_categories:
  - other
language:
  - en
  - mr
tags:
  - coordinates
  - geometry
  - vedic
  - multiverse
  - hypersphere
  - orthogonal
  - rotation-matrices
  - neural-geometry
  - 3d
  - 8d
  - 16d
  - 32d
  - 64d
pretty_name: Multiverse Field Coordinates
size_categories:
  - 100M<n<1B
---

# Multiverse-field-coordinates

**Vedic Neural Geometry – Multiverse Field Dataset**

एक सार्वत्रिक, शुद्ध-संख्यात्मक, बहुआयामी कॉऑर्डिनेट सिस्टीम.  
ओलंपिक मैदानाप्रमाणे **एकच मैदान** — ज्यातून वेगवेगळ्या विषयांवर कॉऑर्डिनेशन / mapping करता येते.

## Core Concept

- **केंद्र (Bindu / Brahma)**: सर्व आयामांमध्ये केंद्रबिंदू
- **Angular Grid**: 0° ते 360° (1° स्टेप)
- **ID**: 1 ते 108 (108 Divisions)
- **Layers (Avaran)**: 7 थर
- **Dimensions**: 3D, 8D, 16D, 32D, 64D
- **Math Engine**: Orthogonal bases + Rotation matrices
- **Complementary**: 0° आणि 180° exact opposite (जसे RGB ↔ CMY)

## Dataset Structure
   data/
    ├── layer_01/
    │   ├── coords_3d.csv
    │   ├── coords_8d.csv
    │   ├── coords_16d.csv
    │   ├── coords_32d.csv
    │   └── coords_64d.csv
    ├── layer_02/
    │   └── ... (same)
     ...
    └── layer_07/
    └── ... (same)

### CSV Format

- पहिला कॉलम: `ID` (1–108)
- बाकी कॉलम: `0` ते `360` (अंश)
- प्रत्येक सेल: comma-separated vector  
  उदाहरण (3D): `0.123456,-0.234567,0.890123`

## Mathematical Foundation

1. प्रत्येक ID साठी deterministic orthogonal matrix (QR decomposition)
2. कोन θ नुसार unit hypersphere वर base point
3. Orthogonal matrix ने rotate
4. Layer नुसार radius scaling
5. 0° ↔ 180° = exact complementary (negative vector)

## Intended Use

- Multi-dimensional embedding / coordinate systems
- Geometric neural networks
- Symbolic / Vedic geometry experiments
- Universal mapping field for different domains
- Research on orthogonal and rotational structures

## Generation

Generated using pure NumPy with:
- Orthogonal frames via QR
- Hyperspherical coordinates
- Layer-wise radial scaling

## Citation
@dataset{multiverse_field_coordinates,
author    = {kalpesh77},
title     = {Multiverse Field Coordinates – Vedic Neural Geometry},
year      = {2025},
url       = {https://huggingface.co/datasets/kalpesh77/Multiverse-field-coordinates}
}

## License

MIT