{"query": "4 bonds, 0 lone pairs → tetrahedral, 109.47°", "count": 18, "results": [{"id": "card_v_caf54eaa69fb", "title": "4 bonds, 0 lone pairs → tetrahedral, 109.47°", "shelf": "molecular_geometry", "surface": "secular", "snippet": "Verdict: HOLDS.\n• molecular_geometry.vsepr: steric 4 (4 bonding + 0 lone) -> tetrahedral, bond angle 109.47 deg\nSealed and independently re-checkable: https://narrowhighway.com/s/2383f5502d5cbaf290c97", "authority_tier": "engine", "source": "Verified by the engine — molecular_geometry", "readable": false, "generated": false}, {"id": "card_theory_vsepr_theory", "title": "VSEPR theory (molecular geometry)", "shelf": "theories", "surface": "secular", "snippet": "VSEPR theory (molecular geometry) — an engine domain that can touch it: molecular_geometry. Calibration: seals — shapes and bond angles predict directly. Valence Shell Electron Pair Repulsion: electro", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_domchk_molecular_geometry_claimed_geometry", "title": "Molecular Geometry: geometry", "shelf": "molecular_geometry", "surface": "secular", "snippet": "A worked check in molecular geometry: geometry.\n\nGIVEN\n  bonding_domains = 4\n  lone_pairs = 0\n\nCLAIMED\n  claimed_geometry = tetrahedral\n\nTHE ENGINE'S VERDICT\n  molecular_geometry.vsepr: CONFIRMED — st", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_alm_connection_shape_and_number_are_one", "title": "Almanac: Shape and number are one -- coordinates turn every figure into arithmetic and back, with the right triangle as the master key", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Capstone of the geometry cluster. Lay a grid on space and shape becomes number: a point is its coordinates, a length is a calculation, an angle is a ratio -- and the sealed cards of this c", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "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_domchk_molecular_geometry_claimed_bond_angle_deg", "title": "Molecular Geometry: bond angle deg", "shelf": "molecular_geometry", "surface": "secular", "snippet": "A worked check in molecular geometry: bond angle deg.\n\nGIVEN\n  bonding_domains = 4\n  lone_pairs = 0\n\nCLAIMED\n  claimed_bond_angle_deg = 109.47\n\nTHE ENGINE'S VERDICT\n  molecular_geometry.vsepr: CONFIRM", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_24_2_structure_and_properties_of_amines_62883af6", "title": "24.2 Structure and Properties of Amines — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "24.2\n\nStructure and Properties of Amines\n\n24.2 • Structure and Properties of Amines\n\nThe bonding in alkylamines is similar to the bonding in ammonia. The nitrogen atom is sp3-hybridized, with its thre", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_1_10_hybridization_of_nitrogen_oxygen_ph_1be529b5", "title": "1.10 Hybridization of Nitrogen, Oxygen, Phosphorus, and Sulfur — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "1.10\n\nHybridization of Nitrogen, Oxygen, Phosphorus, and Sulfur\n\n1.10 • Hybridization of Nitrogen, Oxygen, Phosphorus, and Sulfur\n\nThe valence-bond concept of orbital hybridization described in the pr", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_4_4_conformations_of_cycloalkanes_5a69b8d8", "title": "4.4 Conformations of Cycloalkanes — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "4.4\n\nConformations of Cycloalkanes\n\n4.4 • Conformations of Cycloalkanes\n\nCyclopropane\n\nCyclopropane is the most strained of all rings, primarily due to the angle strain caused by its 60° C−C−C bond an", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_4_5_conformations_of_cyclohexane_35cbd0ad", "title": "4.5 Conformations of Cyclohexane — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "4.5\n\nConformations of Cyclohexane\n\n4.5 • Conformations of Cyclohexane\n\nSubstituted cyclohexanes are the most common cycloalkanes and occur widely in nature. A large number of compounds, including ster", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_seq_tetrahedral_numbers", "title": "Tetrahedral numbers", "shelf": "sequences", "surface": "secular", "snippet": "Tetrahedral numbers: 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, 1140, … — n(n+1)(n+2)/6 — a triangular pyramid.", "authority_tier": "reference", "source": "Computed — classical number theory (public domain)", "readable": false, "generated": false}, {"id": "card_src_openstax_organic_chemistry_5_10_chirality_at_nitrogen_phosphorus_an_0ace7436", "title": "5.10 Chirality at Nitrogen, Phosphorus, and Sulfur — Organic Chemistry", "shelf": "chemistry", "surface": "secular", "snippet": "5.10\n\nChirality at Nitrogen, Phosphorus, and Sulfur\n\n5.10 • Chirality at Nitrogen, Phosphorus, and Sulfur\n\nAs noted previously, the most common cause of chirality in a molecule is the presence of four", "authority_tier": "reference", "source": "OpenStax: Organic Chemistry (CC-BY 4.0)", "readable": false, "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_src_pron_tetrahedral", "title": "tetrahedral", "shelf": "pronunciation", "surface": "secular", "snippet": "tetrahedral: pronounced (ARPABET) T EH2 T R AH0 HH IY1 D R AH0 L. 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_seal_9727d2d31c08d594f43cc5acf8215aec862077638b5118b30c3e60a68e918ec3", "title": "Receipt 9727d2d31c08… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"molecular_geometry\",\n  \"dimensions\": [\n   \"discreteness\",\n   \"physical_substance\",\n   \"reasoning\"\n  ],\n  \"umbrella\": \"chemistry\"\n },\n \"gate_results\": [\n ", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_seal_5148f8b7f40ed3224a4581c691f2d3fce3f419c5c2550b91e1a5176af04f1b5c", "title": "Receipt 5148f8b7f40e… — 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_pron_kling", "title": "kling", "shelf": "pronunciation", "surface": "secular", "snippet": "kling: pronounced (ARPABET) K L IH1 NG. 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_book_71408", "title": "Common names of a selected list of plants — Kling L. Anderson", "shelf": "gutenberg", "surface": "secular", "snippet": "Common names of a selected list of plants, by Kling L. Anderson. Subjects: Plant names, Popular -- Kansas. Read the full text (public domain): https://www.gutenberg.org/ebooks/71408", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "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_v_caf54eaa69fb"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}