Triple
T4105489
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | H. S. M. Coxeter |
E88439
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
The Beauty of Geometry
The Beauty of Geometry is a classic mathematical book by H. S. M. Coxeter that explores elegant geometric ideas and configurations through clear exposition and rich illustrations.
|
E412209
|
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: The Beauty of Geometry | Statement: [H. S. M. Coxeter, notableWork, The Beauty of Geometry]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: The Beauty of Geometry Context triple: [H. S. M. Coxeter, notableWork, The Beauty of Geometry]
-
A.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
B.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
C.
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.
-
D.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
E.
Symmetry
Symmetry is a seminal 1952 book by mathematician and physicist Hermann Weyl that explores the concept of symmetry across mathematics, physics, art, and nature for a general audience.
- 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: The Beauty of Geometry Triple: [H. S. M. Coxeter, notableWork, The Beauty of Geometry]
Generated description
The Beauty of Geometry is a classic mathematical book by H. S. M. Coxeter that explores elegant geometric ideas and configurations through clear exposition and rich illustrations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: The Beauty of Geometry Target entity description: The Beauty of Geometry is a classic mathematical book by H. S. M. Coxeter that explores elegant geometric ideas and configurations through clear exposition and rich illustrations.
-
A.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
B.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
C.
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.
-
D.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
E.
Symmetry
Symmetry is a seminal 1952 book by mathematician and physicist Hermann Weyl that explores the concept of symmetry across mathematics, physics, art, and nature for a general audience.
- F. None of above. chosen
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_69aed9484fb881909146f4c772ad277c |
completed | March 9, 2026, 2:29 p.m. |
| NER | Named-entity recognition | batch_69af019af25481909e9f1d171356f3e8 |
completed | March 9, 2026, 5:21 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b56b7f88948190b87242e706a488c0 |
completed | March 14, 2026, 2:06 p.m. |
| NEDg | Description generation | batch_69b56c0a3b1c81908ae4c630c6881c1c |
completed | March 14, 2026, 2:09 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69b56c94df3481908d2f4a3976fb775b |
completed | March 14, 2026, 2:11 p.m. |
Created at: March 9, 2026, 3:40 p.m.