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Cross-referenced against our prover orchestration layers: - Plan-Execute-Verify-Replan ↔ L0-L3 pipeline - Agents as specialists ↔ 11-agent swarm - Guardrails ↔ ProverWatchdog - Sandbox testing ↔ Virtual FPGA tests - Trajectory-aware eval ↔ BFS audit trail 5 gaps identified, 4 strengths confirmed
14 lines
1.1 KiB
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14 lines
1.1 KiB
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created: 20260507000000000
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modified: 20260507000000000
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tags: ResearchStack Topology MengerSponge Fractal Compression
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title: Menger Sponge Fractal Addressing
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type: text/vnd.tiddlywiki
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! Menger Sponge Fractal Addressing
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Menger sponge fractal addressing (`0-Core-Formalism/lean/Semantics/Semantics/MengerSpongeFractalAddressing.lean`, Python: `5-Applications/scripts/menger_sponge_fractal_addressing.py`) provides hierarchical void-based routing. Each iteration removes center cubes (7 per 3x3x3 block), creating addressable voids with Hausdorff dimension ~2.7268. Used by [[Networked Self Solving Space]] for distributed quine addressing, the [[Meta Manifold Language Merging]] framework for torus-void routing channels, and the composite manifold (sponge nodes mounted on Gabriel's horn). OpenSCAD model at `3-Mathematical-Models/cad_models/menger_sponge.scad` visualizes level-2 sponge with 20 remaining subcubes and 7 removed voids. One of three pathological manifold structures for [[Hutter Prize Compression]].
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* [[Pathological Menger-Horn Composite]]
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* [[FiveD Torus Topology]]
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* [[Hutter Prize Compression]]
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* [[Lean Semantics Overview]]
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