{"query": "Sizing a spherical tank of radius 3", "count": 20, "results": [{"id": "card_works_spherical_tank", "title": "Sizing a spherical tank of radius 3", "shelf": "the-works", "surface": "secular", "snippet": "For a sphere of radius 3, the volume is (4/3)πr³ and the surface area is 4πr² — both come to 36π here, decided to full precision.  Worked & sealed by the engine — V = (4/3)π·3³ = 36π ≈ 113.097 ;  A = ", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_spine_power", "title": "The off-grid power shelf — keeping the lights and the radio on", "shelf": "spine", "surface": "secular", "snippet": "Off-grid electricity for the prepared home and the mesh node: volts/amps/watts, sizing a system to your real load, batteries (lead-acid vs lithium), solar panels and charge controllers, inverters, saf", "authority_tier": "reference", "source": "The off-grid power shelf (curated, public domain)", "readable": false, "generated": false}, {"id": "card_src_pron_sizing", "title": "sizing", "shelf": "pronunciation", "surface": "secular", "snippet": "sizing: pronounced (ARPABET) S AY1 Z IH0 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_calc_v_energy_battery_sizing", "title": "Battery sizing", "shelf": "calculations", "surface": "secular", "snippet": "Battery sizing — energy. Formula: Ah = kWh days 1000 / (V DoD). Canonical FORM: product_law (q = f1 * f2 * ...) — engine verifier energy.battery_sizing — the deterministic check the concordance runs. ", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_src_fed_nasa_techdoc_19770079348", "title": "User's manual for HESCOMP, the helicopter sizing and performance computer program", "shelf": "science", "surface": "secular", "snippet": "User's manual for HESCOMP, the helicopter sizing and performance computer program. A United States federal publication, public domain (17 USC 105). The full text (580,536 bytes) is held on the ark; wa", "authority_tier": "reference", "source": "NASA technical documents (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_nasa_techdoc_19820069273", "title": "HESCOMP. The Helicopter Sizing and Performance Computer Program. User's manual, revision 2", "shelf": "science", "surface": "secular", "snippet": "HESCOMP. The Helicopter Sizing and Performance Computer Program. User's manual, revision 2. A United States federal publication, public domain (17 USC 105). The full text (1,137,690 bytes) is held on ", "authority_tier": "reference", "source": "NASA technical documents (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_power_solar", "title": "Solar panels — free power from the sun", "shelf": "energy", "surface": "secular", "snippet": "A solar panel turns sunlight into DC electricity; its rating (e.g. 100 W) is its output in full sun. What you actually harvest per day is roughly panel-watts × your daily PEAK SUN HOURS (about 3–6 in ", "authority_tier": "reference", "source": "U.S. Department of Energy / NREL consumer energy guidance (public domain)", "readable": false, "generated": false}, {"id": "card_theory_stellar_nucleosynthesis_the_hr_diagram", "title": "Stellar nucleosynthesis & the HR diagram", "shelf": "theories", "surface": "secular", "snippet": "Stellar nucleosynthesis & the HR diagram — an engine domain that can touch it: astronomy. Calibration: partial — specific relations verify; the theory as a whole is not a sealable computation. Where t", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_port_tcp_66_sql_net", "title": "Port 66/tcp — sql-net", "shelf": "networking", "surface": "secular", "snippet": "Port 66/tcp is assigned to sql-net: Oracle SQL*NET\nIANA assigned this well-formed service name as a replacement for \"sql*net\"..", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "readable": false, "generated": false}, {"id": "card_src_port_udp_66_sql_net", "title": "Port 66/udp — sql-net", "shelf": "networking", "surface": "secular", "snippet": "Port 66/udp is assigned to sql-net: Oracle SQL*NET\nIANA assigned this well-formed service name as a replacement for \"sql*net\"..", "authority_tier": "reference", "source": "IANA Service Name and Port Number Registry (public domain)", "readable": false, "generated": false}, {"id": "card_src_openstax_university_physics_volume_3_summary_a75659df", "title": "Summary — University Physics Volume 3", "shelf": "physics", "surface": "secular", "snippet": "Summary\n\n2.1\n\nImages Formed by Plane Mirrors\n\nA plane mirror always forms a virtual image (behind the mirror).\n\nThe image and object are the same distance from a flat mirror, the image size is the sam", "authority_tier": "reference", "source": "OpenStax: University Physics Volume 3 (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_fed_japanesetanksandtanktactics", "title": "Japanese Tanks And Tank Tactics", "shelf": "practical", "surface": "secular", "snippet": "Japanese Tanks And Tank Tactics. A United States federal publication, public domain (17 USC 105). The full text (110,226 bytes) is held on the ark; waybill sha256 876ea4a12d4f1a94…; origin archive.org", "authority_tier": "reference", "source": "US War Department field & technical manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_book_62881", "title": "The Tank Corps — Clough Williams-Ellis", "shelf": "gutenberg", "surface": "secular", "snippet": "The Tank Corps, by Clough Williams-Ellis. Subjects: Great Britain. Army. Royal Tank Corps; Tanks (Military science). Read the full text (public domain): https://www.gutenberg.org/ebooks/62881", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_fed_fm23_80", "title": "FM 23-80 37-mm Gun, Tank, M5 (Mounted In Tanks) 1941", "shelf": "practical", "surface": "secular", "snippet": "FM 23-80 37-mm Gun, Tank, M5 (Mounted In Tanks) 1941. A United States federal publication, public domain (17 USC 105). The full text (259,193 bytes) is held on the ark; waybill sha256 0a0c61c8e5e8040c", "authority_tier": "reference", "source": "US War Department field & technical manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_fm23_81", "title": "FM 23-81 37-mm Gun Tank M6 (Mounted in Tanks) 1942", "shelf": "practical", "surface": "secular", "snippet": "FM 23-81 37-mm Gun Tank M6 (Mounted in Tanks) 1942. A United States federal publication, public domain (17 USC 105). The full text (198,793 bytes) is held on the ark; waybill sha256 624221bc72b2a59c…;", "authority_tier": "reference", "source": "US War Department field & technical manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_book_49808", "title": "Tanks in the Great War, 1914-1918 — J. F. C. (John Frederick Charles) Fuller", "shelf": "gutenberg", "surface": "secular", "snippet": "Tanks in the Great War, 1914-1918, by J. F. C. (John Frederick Charles) Fuller. Subjects: World War, 1914-1918 -- Campaigns -- Western Front; Great Britain. Army. Royal Tank Corps; Tanks (Military sci", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_theory_topological_quantum_computation", "title": "Topological quantum computation (non-Abelian / Fibonacci anyons)", "shelf": "theories", "surface": "secular", "snippet": "Topological quantum computation (non-Abelian / Fibonacci anyons) — an engine domain that can touch it: quantum_computing. Calibration: partial — specific relations verify; the theory as a whole is not", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_src_book_44451", "title": "A Company of Tanks — William Henry Lowe Watson", "shelf": "gutenberg", "surface": "secular", "snippet": "A Company of Tanks, by William Henry Lowe Watson. Subjects: World War, 1914-1918 -- Personal narratives, English; Great Britain. Army. Royal Tank Corps; World War, 1914-1918 -- Regimental histories --", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_fed_fm18_15_nsia", "title": "FM 18-15 Tank Destroyer Field Manual, Tank Destroyer Drill and Crew Drill, 3-inch Gun Motor Carriage M10, 76-mm Gun Motor Carriage T70, 3-inch Towed Gun (Gun M5 and Carriage M1)", "shelf": "practical", "surface": "secular", "snippet": "FM 18-15 Tank Destroyer Field Manual, Tank Destroyer Drill and Crew Drill, 3-inch Gun Motor Carriage M10, 76-mm Gun Motor Carriage T70, 3-inch Towed Gun (Gun M5 and Carriage M1). A United States feder", "authority_tier": "reference", "source": "US War Department field & technical manuals (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_theory_dimensional_analysis", "title": "Dimensional analysis & similarity (Buckingham Π)", "shelf": "theories", "surface": "secular", "snippet": "Dimensional analysis & similarity (Buckingham Π) — an engine domain that can touch it: physics. Calibration: seals — dimensional consistency and Π-group counts check exactly. Any true physical equatio", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_works_spherical_tank"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}