Research data and supplementary materials for the paper: "Reflective Manifold: Geometric Structure in Large Language Model Self-Reflection"
By Lee Brown & Lucas Brown (Twin brothers in Alaska) Geeks Accelerator - December 2025
reflection-manifold-data/
├── paper/ # Final paper
│ └── reflective-manifold.pdf
├── arxiv/ # arXiv submission
│ ├── reflective-manifold.tex
│ ├── reflective-manifold.bbl
│ ├── figures/
│ └── arxiv-submission.tar.gz
├── data/ # Analysis data
│ ├── bootstrap/
│ ├── permanova/
│ ├── variance/
│ ├── trajectory/
│ └── manifold/
└── scripts/ # Analysis scripts
| If you want to... | Start here... |
|---|---|
| Read the paper | paper/reflective-manifold.pdf |
| Submit to arXiv | arxiv/README.md |
| Verify findings | data/README.md |
| Run analysis | scripts/README.md |
| Extend research | data/ (CSV/JSON data) + scripts/ (analysis code) |
| Full reproducibility | Raw data downloads (see below) |
For full reproducibility, the complete experiment data is available via S3:
| File | Size | Contents |
|---|---|---|
| full-scale-2025-11-20-v2-data-experiments.zip | 4.6 GB | Raw experiment JSONL files (7,000+ experiments) |
| full-scale-2025-11-20-v2-analysis-figures.zip | 247 MB | All generated figures and analysis outputs |
Note: The data/ directory in this repo contains curated analysis outputs (~24 MB) sufficient for verifying paper claims. The S3 downloads provide the complete raw data for full reproduction.
- Reflective Manifold: Geometric structure in embedding space during LLM self-reflection
- Attractor Basins: Stable regions where reflection trajectories converge
- Style Topology: Provider-invariant structure (R²=17.2% style vs 9.9% provider)
- Loop Dependence: How metrics evolve across reflection iterations (loops 0-7)
@article{brown2025reflective,
title={Reflective Manifold: Geometric Structure in Large Language Model Self-Reflection},
author={Brown, Lee and Brown, Lucas},
year={2025},
url={https://github.com/geeks-accelerator/reflection-manifold-data}
}- Paper & Documentation: CC BY 4.0
- Code & Scripts: MIT License
- Data: CC BY 4.0
- Geometry of Reflection - Accessible introduction to this research (Substack)
- Geeks in the Woods - Ongoing narrative explorations
- YouTube - Visual explorations
- ai-music-context - Context warming methodology
- Anthropic, Google, OpenAI, xAI, DeepSeek - Model providers
- The open-source embedding and analysis communities
"What does it mean to watch a mind watch itself? This research explores the geometric traces left behind."
Maintained by twins in Alaska