{"query": "Why methane is a tetrahedron", "count": 12, "results": [{"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_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_src_openstax_organic_chemistry_1_6_sp_3_hybrid_orbitals_and_the_structu_22d6666a", "title": "1.6 sp 3 Hybrid Orbitals and the Structure of Methane — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "1.6\n\nsp3 Hybrid Orbitals and the Structure of Methane\n\n1.6 • sp3 Hybrid Orbitals and the Structure of Methane\n\nThe bonding in the hydrogen molecule is fairly straightforward, but the situation is more", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_etym_tetrahedron", "title": "tetrahedron", "shelf": "etymology", "surface": "secular", "snippet": "tetrahedron: etymology (Webster 1913) — n.: [Tetra- + Gr. (Geom.) Defn: A solid figure inclosed or bounded by four triangles. Note: In crystallography, the regular tetrahedron is regarded as the hemih", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_tetrahedrite", "title": "tetrahedrite", "shelf": "etymology", "surface": "secular", "snippet": "tetrahedrite: etymology (Webster 1913) — n.: [So called because the crystals of the species are commonly tetrahedrons.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_etym_tetrahedral", "title": "tetrahedral", "shelf": "etymology", "surface": "secular", "snippet": "tetrahedral: etymology (Webster 1913) — a.: [See Tetrahedron.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_seal_47543a4632ec7216c83538c678b5fc145e624f8b8e820d35e2adbf925ecf90a3", "title": "Receipt 47543a4632ec… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"mathematics\",\n  \"dimensions\": [\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_steps\": 1,\n    \"error", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_src_etym_hemihedral", "title": "hemihedral", "shelf": "etymology", "surface": "secular", "snippet": "hemihedral: etymology (Webster 1913) — a.: [Hemi- + Gr. (Crystallog.) Defn: Having half of the similar parts of a crystals, instead of all; consisting of half the planes which full symmetry would requ", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_word_tetrahedron", "title": "tetrahedron", "shelf": "dictionary", "surface": "secular", "snippet": "A solid figure inclosed or bounded by four triangles. Note: In crystallography, the regular tetrahedron is regarded as the hemihedral form of the regular octahedron. Regular tetrahedron (Geom.), a sol", "authority_tier": "reference", "source": "webster-1913", "readable": false, "generated": false}, {"id": "card_src_pron_tetrahedron", "title": "tetrahedron", "shelf": "pronunciation", "surface": "secular", "snippet": "tetrahedron: pronounced (ARPABET) T EH2 T R AH0 HH IY1 D R AH0 N. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "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}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_theory_platonic_solids"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}