README.md

metadata

title: ARC-AGI Fluid Re/Im
emoji: 🧬
colorFrom: yellow
colorTo: indigo
sdk: gradio
sdk_version: 6.14.0
python_version: '3.12'
app_file: app.py
pinned: false
license: mit
short_description: Fluid Re/Im duality solver for ARC-AGI-3

ARC-AGI-3 Fluid Re/Im Agent

True Re/Im duality implementation using coherence function C(r) = 2r/(1+r²).

Architecture

Im Side (arg(M)) — Global phase signals:

• Symmetry detection (H/V fold axes)
• Flow direction (gradient field)
• Topology (boundary/winding)

Re Side (|M|) — Local magnitude:

• Mass distribution
• Spatial density
• Component sizes

Coherence Bridge — C(r) = 2r/(1+r²):

• Measures Im/Re alignment
• Low C = strong transformation signal
• Confidence = Im_strength × (1 - C)

How It Works

1. Extract 14-channel features (10 Re + 4 Im)
2. Im side proposes hypotheses (mirror, boundary, gravity, etc.)
3. Re side identifies exact coordinates
4. Coherence function ranks hypotheses
5. Best hypothesis → ACTION6 at most urgent cell
6. CNN fallback when confidence < 0.40

Transformations

• H/V Mirror: Complete symmetry when Im detects fold axis + Re finds asymmetry
• Boundary: Extract contour when Im boundary thin + Re fill dense (Cauchy principle)
• Fill Interior: Fill enclosed regions when Im boundary exists + Re has holes
• Gravity: Drop suspended pixels when Im flow detected + Re finds floating mass

Live Mode

Space connects to the real ARC-AGI-3 API. Set ARC_API_KEY in Space secrets or enter it in the UI.

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Math: Eigenverse formal proofs
Competition: ARC Prize 2026