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.