---
title: rhombic
emoji: 🔷
colorFrom: red
colorTo: indigo
sdk: gradio
sdk_version: 5.23.0
app_file: app.py
pinned: false
license: mpl-2.0
short_description: "FCC vs Cubic lattice topology — live benchmarks"
tags:
  - lattice
  - topology
  - benchmark
  - graph-theory
  - signal-processing
  - FCC
  - rhombic-dodecahedron
  - spatial-computing
  - weighted-graph
---

# rhombic

> *The bottleneck is not the processor. It is the shape of the cell.*

Interactive demo comparing cubic (6-connected) and FCC/rhombic dodecahedral (12-connected) lattice topologies.

**Tab 1 — The Numbers:** Headline results + live graph theory benchmark at any scale.

**Tab 2 — Embedding Recall:** FCC vs Cubic ANN index comparison with 3D lattice visualization.

**Tab 3 — The Thesis:** The full argument for why computation inherited the wrong geometry.

**Tab 4 — Weighted Extensions:** Direction-weighted Fiedler amplification benchmark (Paper 2). See how structured edge weights amplify the FCC advantage from 2.3x to 6.1x.

- [GitHub](https://github.com/promptcrafted/rhombic)
- [PyPI](https://pypi.org/project/rhombic/)

Built by [Promptcrafted](https://promptcrafted.com).
