Triple

T4105488
Position Surface form Disambiguated ID Type / Status
Subject H. S. M. Coxeter E88439 entity
Predicate notableWork P4 FINISHED
Object Regular Complex Polytopes
"Regular Complex Polytopes" is a seminal mathematical monograph by H. S. M. Coxeter that systematically develops the theory of regular polytopes in complex projective spaces.
 E415575 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: Regular Complex Polytopes | Statement: [H. S. M. Coxeter, notableWork, Regular Complex Polytopes]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Regular Complex Polytopes
Context triple: [H. S. M. Coxeter, notableWork, Regular Complex Polytopes]
  • A. Regular Polytopes
    "Regular Polytopes" is a classic mathematical monograph by H. S. M. Coxeter that systematically develops the theory and classification of highly symmetric polytopes in various dimensions.
  • B. Polytopes
    Polytopes are large-scale multimedia architectural and musical installations created by Iannis Xenakis that combine sound, light, and spatial design into immersive, mathematically structured environments.
  • C. Kepler–Poinsot polyhedra
    The Kepler–Poinsot polyhedra are the four regular star polyhedra that extend the concept of Platonic solids into non-convex, self-intersecting forms.
  • D. The Fifty-Nine Icosahedra
    The Fifty-Nine Icosahedra is a classic mathematical monograph by H. S. M. Coxeter that systematically classifies and analyzes the distinct stellations of the regular icosahedron.
  • E. 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.
  • 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: Regular Complex Polytopes
Triple: [H. S. M. Coxeter, notableWork, Regular Complex Polytopes]
Generated description
"Regular Complex Polytopes" is a seminal mathematical monograph by H. S. M. Coxeter that systematically develops the theory of regular polytopes in complex projective spaces.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Regular Complex Polytopes
Target entity description: "Regular Complex Polytopes" is a seminal mathematical monograph by H. S. M. Coxeter that systematically develops the theory of regular polytopes in complex projective spaces.
  • A. Regular Polytopes
    "Regular Polytopes" is a classic mathematical monograph by H. S. M. Coxeter that systematically develops the theory and classification of highly symmetric polytopes in various dimensions.
  • B. Polytopes
    Polytopes are large-scale multimedia architectural and musical installations created by Iannis Xenakis that combine sound, light, and spatial design into immersive, mathematically structured environments.
  • C. Kepler–Poinsot polyhedra
    The Kepler–Poinsot polyhedra are the four regular star polyhedra that extend the concept of Platonic solids into non-convex, self-intersecting forms.
  • D. The Fifty-Nine Icosahedra
    The Fifty-Nine Icosahedra is a classic mathematical monograph by H. S. M. Coxeter that systematically classifies and analyzes the distinct stellations of the regular icosahedron.
  • E. 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.
  • 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_69b576a3e75c8190ab08954220b4b89a completed March 14, 2026, 2:54 p.m.
NEDg Description generation batch_69b57a85917081909200e643db761152 completed March 14, 2026, 3:11 p.m.
NED2 Entity disambiguation (via description) batch_69b57b1d1c00819092f85dd7856b4381 completed March 14, 2026, 3:13 p.m.
Created at: March 9, 2026, 3:40 p.m.