{ "model": { "rank": 3512, "code": "thing-q3358290", "model_id": "vr.tr.pyramid-q3358290", "name": "pyramid", "purpose": "Let an agent explain pyramids as geometric solids and their properties, compute volume and surface area, describe kinds and generalisations, and separate the architectural sense.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q3358290/", "tier": 2, "score": 85, "payload": { "layer": "wikidata", "aliases": [ "polyhedral pyramid", "decagonal pyramid", "hexagonal pyramid", "enneagonal pyramid", "hendecagonal pyramid", "heptagonal pyramid", "quadrilateral pyramid", "pentagonal pyramid", "right pyramid", "regular pyramid", "rectangular pyramid" ], "aliasCount": 11, "merged": 11, "knownIn": 85, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": null, "source": { "dataset": "wikidata", "item": "Q3358290", "url": "https://www.wikidata.org/wiki/Q3358290", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-12T01:22:46Z", "providers": [ "Claude" ], "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify", "pass": 2, "wave": 2, "engine": "claude" }, "metaModel": { "id": "THING-Q3358290", "registryId": "vr.tr.pyramid-q3358290", "name": "pyramid", "version": "0.2.0-wave.2", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q3358290/", "model": { "registry_id": "vr.tr.pyramid-q3358290", "name": "pyramid", "purpose": "Let an agent explain pyramids as geometric solids and their properties, compute volume and surface area, describe kinds and generalisations, and separate the architectural sense.", "definition": "A polyhedron formed by connecting a polygonal base to a single apex point, so that the lateral faces are triangles, named by the base such as triangular, square, pentagonal, hexagonal, heptagonal and decagonal pyramids, and classed as right or oblique and regular or irregular, with volume one third of base area times height; pyramids are studied in solid geometry, generalised to higher dimensions, and give their name to the monumental pyramids of Egypt and elsewhere.", "what_it_is_for": "Polyhedra with a polygonal base and an apex.", "affordances": [ "explain properties", "compute volume and area", "describe kinds and generalisations", "separate the architectural sense" ], "distinguishing_features": [ "Base and apex", "Triangular faces", "Volume formula", "Named by base" ], "appearance": "A solid with a polygon base and triangular sides meeting at a point.", "visual_identification": [ "Polygonal base and apex", "Triangular lateral faces", "A cone has a circular base; a prism has two parallel bases" ], "physical_properties": [], "families_and_kinds": [ "triangular pyramids or tetrahedra", "square and rectangular pyramids", "pentagonal, hexagonal and higher polygonal pyramids", "right and oblique pyramids", "polyhedral and higher-dimensional pyramids" ], "related_models": [ { "relation": "is a kind of", "target": "prismatoid", "why": "category" }, { "relation": "is related to", "target": "trapezoid", "why": "another geometry entry" }, { "relation": "is related to", "target": "ziggurat", "why": "stepped pyramid structures" }, { "relation": "is related to", "target": "maxima and minima", "why": "optimisation of pyramid dimensions" } ], "identifiers": [], "standards_and_regulation": [ "Mathematical definitions and notation", "Curriculum standards for solid geometry" ], "failure_modes_and_hazards": [ "Confusing pyramids with cones or prisms", "Volume formula errors", "Confusing geometric and architectural senses" ], "in_scope": [], "out_of_scope": [], "characteristics": [] }, "sources": [], "structure": { "bundles": [ { "id": "understand", "name": "Understand", "description": "What a pyramid is.", "rationale": "Geometry.", "layers": [ { "id": "definition", "name": "Definition", "description": "Definition and kinds.", "findings": [ { "id": "definition-finding", "name": "Definition", "description": "Definition.", "questions": [ { "text": "What defines a pyramid, and how do triangular, square, pentagonal, hexagonal and other pyramids, right and oblique, differ?", "kind": "definition" }, { "text": "Is the geometric solid or the architectural pyramid meant?", "kind": "boundary" } ] } ] }, { "id": "properties", "name": "Properties", "description": "Properties.", "findings": [ { "id": "properties-finding", "name": "Properties", "description": "Properties.", "questions": [ { "text": "What are the faces, edges, vertices, symmetry and nets of a pyramid?", "kind": "definition" }, { "text": "Which entry fits a specific pyramid type?", "kind": "action" } ] } ] } ] }, { "id": "compute", "name": "Compute", "description": "Calculations.", "rationale": "Practice.", "layers": [ { "id": "volume", "name": "Volume", "description": "Volume and surface area.", "findings": [ { "id": "volume-finding", "name": "Volume", "description": "Volume.", "questions": [ { "text": "How are the volume and surface area of this pyramid computed, and why is volume one third of base times height?", "kind": "action" }, { "text": "How is slant height found?", "kind": "action" } ] } ] }, { "id": "prove", "name": "Prove", "description": "Proofs.", "findings": [ { "id": "prove-finding", "name": "Prove", "description": "Proofs.", "questions": [ { "text": "How is the volume formula proved, and how are frustums handled?", "kind": "action" }, { "text": "Which entry fits solid geometry?", "kind": "action" } ] } ] } ] }, { "id": "generalise", "name": "Generalise", "description": "Generalisations and applications.", "rationale": "Context.", "layers": [ { "id": "higher", "name": "Higher", "description": "Higher dimensions.", "findings": [ { "id": "higher-finding", "name": "Higher", "description": "Higher dimensions.", "questions": [ { "text": "How do pyramids generalise to polyhedral pyramids and higher-dimensional cones?", "kind": "definition" }, { "text": "Which entry fits polytopes?", "kind": "action" } ] } ] }, { "id": "applications", "name": "Applications", "description": "Applications.", "findings": [ { "id": "applications-finding", "name": "Applications", "description": "Applications.", "questions": [ { "text": "Where do pyramid shapes appear in architecture, packaging, crystals and optics?", "kind": "provenance" }, { "text": "Which entry fits the Egyptian pyramids?", "kind": "action" } ] } ] } ] }, { "id": "learn", "name": "Learn", "description": "Teaching and history.", "rationale": "Education.", "layers": [ { "id": "teach", "name": "Teach", "description": "Teaching pyramids.", "findings": [ { "id": "teach-finding", "name": "Teach", "description": "Teaching.", "questions": [ { "text": "How can pyramids be taught with nets and models?", "kind": "action" }, { "text": "Which misconceptions arise?", "kind": "provenance" } ] } ] }, { "id": "history", "name": "History", "description": "History.", "findings": [ { "id": "history-finding", "name": "History", "description": "History.", "questions": [ { "text": "How did ancient mathematicians study pyramid volumes, from Egyptian papyri to Euclid and Archimedes?", "kind": "provenance" }, { "text": "Which references are standard?", "kind": "provenance" } ] } ] } ] } ] }, "openQuestions": [ "Should each pyramid type be a separate entry?", "How should curriculum standards be linked?", "How should the architectural sense be split?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }, "draft": { "generator": "vr.draft.v3", "status": "draft-generated", "researched": false, "archetype": "abstract concept", "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.", "facetsInferred": true, "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.", "purpose": "Give an agent a durable, checkable way to recognise a pyramid, record what state it is in, and decide what may be done with it.", "whatItIs": "Let an agent explain pyramids as geometric solids and their properties, compute volume and surface area, describe kinds and generalisations, and separate the architectural sense.", "characteristics": { "substance": "abstract", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "observed and measured" ], "distinguishingFeatures": [ "Names folded into this entry, which a task may need to split apart again: polyhedral pyramid, decagonal pyramid, hexagonal pyramid, enneagonal pyramid, hendecagonal pyramid, heptagonal pyramid, quadrilateral pyramid, pentagonal pyramid, right pyramid, regular pyramid, rectangular pyramid.", "11 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.", "Described in 85 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is." ], "openQuestionsForResearch": [ "Which of the bundles below does a real task actually need, and which are ceremony?", "What does this thing have that the facets do not capture at all?", "Which neighbouring kind is most often confused with a pyramid, and on what evidence are they told apart?" ], "whatItIsMadeOf": "an abstraction with no physical instance", "physicalCharacter": [ "Does nothing on its own; everything it does, something else did to it.", "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing." ], "whatCanBeDoneWithIt": [ "observe it, measure it, record its state" ], "howItIsRecognised": [ "Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about." ], "relatedModels": [ { "relation": "covers", "note": "Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.", "targets": [ "polyhedral pyramid", "decagonal pyramid", "hexagonal pyramid", "enneagonal pyramid", "hendecagonal pyramid", "heptagonal pyramid", "quadrilateral pyramid", "pentagonal pyramid", "right pyramid", "regular pyramid", "rectangular pyramid" ] } ], "standing": "Described in 85 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 11 finer distinctions are held inside this entry as names rather than as separate models.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one pyramid from another, and a pyramid from things that resemble it.", "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.", "layers": [ { "id": "naming-and-identifiers", "name": "Names and identifiers", "description": "The names this thing goes by and the identifiers that survive translation and time.", "findings": [ { "id": "preferred-name-and-aliases", "name": "Preferred name, aliases and local names", "description": "Which name to use, which names mean the same thing, and which merely sound similar.", "questions": [ { "id": "preferred-name-and-aliases-q01", "text": "What identifies and describes the name of a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "preferred-name-and-aliases-q02", "text": "Who or what asserted this about the name of a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "preferred-name-and-aliases-q03", "text": "What may an agent decide or do once the name of a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "stable-identifiers", "name": "Stable identifiers and external keys", "description": "Identifiers that keep pointing at this kind of thing across systems and languages.", "questions": [ { "id": "stable-identifiers-q01", "text": "What identifies and describes an identifier for a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stable-identifiers-q02", "text": "Who or what asserted this about an identifier for a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stable-identifiers-q03", "text": "What may an agent decide or do once an identifier for a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "classification-and-granularity", "name": "Classification and granularity", "description": "Where a pyramid sits among kinds, and how finely a task needs to cut it.", "findings": [ { "id": "kind-and-parents", "name": "Kind, parents and neighbouring kinds", "description": "The classes this thing belongs to and the ones it is next to.", "questions": [ { "id": "kind-and-parents-q01", "text": "What identifies and describes the kind of a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "kind-and-parents-q02", "text": "Who or what asserted this about the kind of a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "kind-and-parents-q03", "text": "What may an agent decide or do once the kind of a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "distinguishing-features", "name": "Distinguishing features", "description": "What separates a pyramid from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "distinguishing-features-q02", "text": "Who or what asserted this about what distinguishes a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "distinguishing-features-q03", "text": "What may an agent decide or do once what distinguishes a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "state-and-lifecycle", "name": "State and lifecycle", "description": "The states a pyramid passes through and the events that move it between them.", "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.", "layers": [ { "id": "lifecycle-stages", "name": "Lifecycle stages", "description": "From coming into existence to ceasing to be one of these.", "findings": [ { "id": "stages-and-transitions", "name": "Stages and transitions", "description": "The stages worth naming and what moves a pyramid between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stages-and-transitions-q02", "text": "Who or what asserted this about the lifecycle of a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stages-and-transitions-q03", "text": "What may an agent decide or do once the lifecycle of a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "observations-and-status", "name": "Observations and current status", "description": "What is observed about a pyramid, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a pyramid is recorded so that it can be superseded rather than overwritten.", "questions": [ { "id": "observation-record-q01", "text": "What identifies and describes an observation of a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "observation-record-q02", "text": "Who or what asserted this about an observation of a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "observation-record-q03", "text": "What may an agent decide or do once an observation of a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "definitions-in-contest", "name": "Definitions and who holds them", "description": "What pyramid is taken to mean, and by whom.", "rationale": "When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.", "layers": [ { "id": "competing-definitions", "name": "Competing definitions", "description": "The main readings and the traditions behind them.", "findings": [ { "id": "definition-map", "name": "Definitions and their holders", "description": "Each definition with the school or body that holds it.", "questions": [ { "id": "definition-map-q01", "text": "Which definitions of pyramid are in use, and which tradition or body holds each?", "kind": "definition" }, { "id": "definition-map-q02", "text": "What turns on the difference between them in practice?", "kind": "boundary" } ] } ] }, { "id": "operationalisation", "name": "Operationalisation", "description": "How it is measured or applied when it has to be.", "findings": [ { "id": "operational-record", "name": "Measures and proxies", "description": "Instruments and indicators used to stand in for it.", "questions": [ { "id": "operational-record-q01", "text": "How is pyramid operationalised or measured in practice, and by what instrument?", "kind": "measurement" }, { "id": "operational-record-q02", "text": "What does that operationalisation leave out, and when does that matter?", "kind": "boundary" } ] } ] } ] }, { "id": "instances-and-use", "name": "Instances, use and consequence", "description": "What counts as an instance of pyramid and what follows from calling something that.", "rationale": "Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.", "layers": [ { "id": "instances", "name": "What counts as an instance", "description": "Clear cases, borderline cases and non-cases.", "findings": [ { "id": "instance-tests", "name": "Tests for an instance", "description": "What would settle whether something falls under it.", "questions": [ { "id": "instance-tests-q01", "text": "What would settle whether something is an instance of pyramid?", "kind": "boundary" }, { "id": "instance-tests-q02", "text": "Which borderline cases are argued about, and on what grounds?", "kind": "definition" } ] } ] }, { "id": "consequence", "name": "Consequence of application", "description": "Rights, duties or decisions that follow from the label.", "findings": [ { "id": "consequence-record", "name": "What the label licenses", "description": "What an agent may do once something is classified this way.", "questions": [ { "id": "consequence-record-q01", "text": "What follows practically once something is treated as pyramid?", "kind": "action" }, { "id": "consequence-record-q02", "text": "What must an agent not infer from the label alone?", "kind": "action" } ] } ] } ] }, { "id": "provenance-and-evidence", "name": "Provenance, evidence and time", "description": "Where every claim about a pyramid came from and when it held.", "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.", "layers": [ { "id": "source-and-authority", "name": "Source and authority", "description": "Who said it, on what evidence, and how strongly.", "findings": [ { "id": "claim-provenance", "name": "Claim provenance and confidence", "description": "The authority behind each claim about a pyramid and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "claim-provenance-q02", "text": "Who or what asserted this about a claim about a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "claim-provenance-q03", "text": "What may an agent decide or do once a claim about a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "time-and-versions", "name": "Time, versions and supersession", "description": "When a claim was true, when it was learnt, and what replaced it.", "findings": [ { "id": "validity-and-supersession", "name": "Validity period and supersession", "description": "How an old claim about a pyramid is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a pyramid, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "validity-and-supersession-q02", "text": "Who or what asserted this about the validity of a claim about a pyramid, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "validity-and-supersession-q03", "text": "What may an agent decide or do once the validity of a claim about a pyramid is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] } ] }, "statistics": { "bundles": 5, "layers": 10, "findings": 12, "questions": 32 } } } }