{"query": "Why methane is a tetrahedron", "count": 6, "results": [{"id": "card_works_vsepr", "title": "Why methane is a tetrahedron", "shelf": "the-works", "surface": "secular", "snippet": "Four bonding pairs and no lone pairs around a central atom push apart into a tetrahedron with 109.47° angles — the shape of methane, and of carbon's whole architecture.  Worked & sealed by the engine ", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_theory_platonic_solids", "title": "The five Platonic solids", "shelf": "theories", "surface": "secular", "snippet": "The five Platonic solids — an engine domain that can touch it: geometry. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and seal them. There are EXA", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_topology", "title": "Topology (what survives stretching)", "shelf": "theories", "surface": "secular", "snippet": "Topology (what survives stretching) — an engine domain that can touch it: mathematics. Calibration: map-only — specific invariants compute; the classification results are proofs, not computations. Geo", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_word_regular_tetrahedron", "title": "regular tetrahedron", "shelf": "dictionary", "surface": "secular", "snippet": "regular tetrahedron: (noun) a tetrahedron with four equilateral triangular faces", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_tetrahedron", "title": "tetrahedron", "shelf": "dictionary", "surface": "secular", "snippet": "tetrahedron: (noun) any polyhedron having four plane faces", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_pron_tetrahedron", "title": "tetrahedron", "shelf": "pronunciation", "surface": "secular", "snippet": "", "authority_tier": "", "source": "", "readable": false, "generated": false}]}