Triple

T693141
Position Surface form Disambiguated ID Type / Status
Subject Alicia Boole Stott E13839 entity
Predicate notableConcept P201 FINISHED
Object Boole–Stott construction of polytopes
The Boole–Stott construction of polytopes is a geometric method, developed by Alicia Boole Stott, for systematically generating and analyzing higher-dimensional regular and semi-regular polytopes.
E13839 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Boole–Stott construction of polytopes | Statement: [Alicia Boole Stott, notableConcept, Boole–Stott construction of polytopes]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Boole–Stott construction of polytopes
Context triple: [Alicia Boole Stott, notableConcept, Boole–Stott construction of polytopes]
  • A. Euler’s polyhedron formula
    Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
  • B. Platonic solids
    Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
  • C. Tucker’s lemma
    Tucker’s lemma is a combinatorial analog of the Borsuk–Ulam theorem that provides conditions guaranteeing the existence of certain complementary edge labels in triangulated spheres.
  • D. Conway’s topograph
    Conway’s topograph is a geometric visualization tool introduced by mathematician John H. Conway to study binary quadratic forms and their arithmetic properties using a planar graph of curves and regions.
  • E. Alicia Boole Stott
    Alicia Boole Stott was a British mathematician known for her pioneering work on four-dimensional polytopes and for extending her father George Boole’s legacy in mathematics.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Boole–Stott construction of polytopes
Triple: [Alicia Boole Stott, notableConcept, Boole–Stott construction of polytopes]
Generated description
The Boole–Stott construction of polytopes is a geometric method, developed by Alicia Boole Stott, for systematically generating and analyzing higher-dimensional regular and semi-regular polytopes.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Boole–Stott construction of polytopes
Target entity description: The Boole–Stott construction of polytopes is a geometric method, developed by Alicia Boole Stott, for systematically generating and analyzing higher-dimensional regular and semi-regular polytopes.
  • A. Euler’s polyhedron formula
    Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
  • B. Platonic solids
    Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
  • C. Tucker’s lemma
    Tucker’s lemma is a combinatorial analog of the Borsuk–Ulam theorem that provides conditions guaranteeing the existence of certain complementary edge labels in triangulated spheres.
  • D. Conway’s topograph
    Conway’s topograph is a geometric visualization tool introduced by mathematician John H. Conway to study binary quadratic forms and their arithmetic properties using a planar graph of curves and regions.
  • E. Alicia Boole Stott chosen
    Alicia Boole Stott was a British mathematician known for her pioneering work on four-dimensional polytopes and for extending her father George Boole’s legacy in mathematics.
  • F. None of above.

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69a493406c408190957eeec9048a8fb6 completed March 1, 2026, 7:28 p.m.
NER Named-entity recognition batch_69a4a0b1e1d08190bdd42f57be5c2a6b completed March 1, 2026, 8:25 p.m.
NED1 Entity disambiguation (via context triple) batch_69a5dca7871c81909ea5a4ccb5dcd47d completed March 2, 2026, 6:53 p.m.
NEDg Description generation batch_69a5e3cbf4208190a541f64e44ea5317 completed March 2, 2026, 7:23 p.m.
NED2 Entity disambiguation (via description) batch_69a6093e95a88190bfba326310e8006f completed March 2, 2026, 10:03 p.m.
Created at: March 1, 2026, 7:36 p.m.