{"query": "The angles inside a hexagon", "count": 11, "results": [{"id": "card_works_polygon", "title": "The angles inside a hexagon", "shelf": "the-works", "surface": "secular", "snippet": "The interior angles of any n-sided polygon sum to (n−2)·180°. For a hexagon that is 720° — the reason six equilateral triangles, or a honeycomb, tile the plane.  Worked & sealed by the engine — (6−2)·", "authority_tier": "verified", "source": "The Works — worked & sealed", "generated": false}, {"id": "card_theory_honeycomb_conjecture", "title": "Optimal packing & the honeycomb conjecture (Hales)", "shelf": "theories", "surface": "secular", "snippet": "The hexagonal grid is the most efficient way to divide a surface into regions of equal area with the LEAST TOTAL PERIMETER. Stated by Pappus of Alexandria around 300 AD as an observation about bees, i", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_girih_quasiperiodic", "title": "Girih tiles — quasi-periodic design in medieval Islamic architecture", "shelf": "theories", "surface": "secular", "snippet": "Girih are the polygonal tiles — decagon, pentagon, hexagon, bowtie, rhombus — carrying strapwork lines, used across medieval Islamic architecture. Peter Lu and Paul Steinhardt showed in Science (2007)", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_src_food_174649", "title": "Cereals Ready-To-Eat, Ralston Crispy Hexagons", "shelf": "nutrition", "surface": "secular", "snippet": "Cereals ready-to-eat, RALSTON Crispy Hexagons — a food in the USDA FoodData Central reference. Per 100 g: 379 kcal, 5.94 g protein, 0.95 g fat, 86.78 g carbohydrate.", "authority_tier": "reference", "source": "USDA FoodData Central (public domain)", "generated": false}, {"id": "card_src_word_regular_hexagon", "title": "regular hexagon", "shelf": "dictionary", "surface": "secular", "snippet": "regular hexagon: (noun) a hexagon with six sides of equal length", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_hexagon", "title": "hexagon", "shelf": "dictionary", "surface": "secular", "snippet": "hexagon: (noun) a six-sided polygon", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_n_48f380838b48", "title": "The perfect numbers — six days and a month", "shelf": "science", "surface": "secular", "snippet": "6 is the first perfect number — equal to both the sum AND the product of its parts\n(1+2+3 = 1×2×3), sealed — and the days of creation's work. The second perfect number is 28\n(1+2+4+7+14), sealed — a m", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "generated": false}, {"id": "card_span_477756f02cfb", "title": "OPEN-AIR  POULTRY  HOUSES", "shelf": "practical", "surface": "secular", "snippet": "ing  quarters,  tliere  is  no  roof,  and  at  the  same  time  to  protect  the \nfowls  from  coyotes,  owls,  and  other  night  marauders. \n\nMr.  Stoddard  says  that  the  heat  of  southwest  Te", "authority_tier": "primary_pd", "source": "Open-air poultry houses for all climates", "generated": false}, {"id": "card_src_pron_hexagon", "title": "hexagon", "shelf": "pronunciation", "surface": "secular", "snippet": "", "authority_tier": "", "source": "", "generated": false}, {"id": "card_src_word_hexagonal", "title": "hexagonal", "shelf": "dictionary", "surface": "secular", "snippet": "hexagonal: (adjective) having six sides or divided into hexagons — syn: hexangular", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_hexangular", "title": "hexangular", "shelf": "dictionary", "surface": "secular", "snippet": "hexangular: (adjective) having six sides or divided into hexagons — syn: hexagonal", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}]}