Triple

T6801870
Position Surface form Disambiguated ID Type / Status
Subject Archimedes' spiral E156204 entity
Predicate relatedConcept P37 FINISHED
Object Fermat's spiral
Fermat's spiral is a plane curve whose radius grows with the square root of the angle, often used to model naturally occurring spiral patterns such as those in sunflowers and other phyllotactic arrangements.
E620680 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: Fermat's spiral | Statement: [Archimedes' spiral, relatedConcept, Fermat's spiral]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Fermat's spiral
Context triple: [Archimedes' spiral, relatedConcept, Fermat's spiral]
  • A. Archimedes' spiral
    Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
  • B. Ulam spiral
    The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
  • C. Eratosthenes spiral
    The Eratosthenes spiral is a geometric visualization of prime numbers generated by the sieve of Eratosthenes, arranging integers in a spiral so that primes form distinctive radial patterns.
  • D. Vogel spiral
    The Vogel spiral is a mathematical pattern that arranges points in a spiral using the golden angle, often used to model the optimal packing seen in sunflower seed arrangements and other natural phyllotaxis patterns.
  • E. Bernoulli lemniscate
    The Bernoulli lemniscate is a figure-eight–shaped algebraic curve that serves as a classic example in the study of complex analysis, elliptic functions, and special constants.
  • 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: Fermat's spiral
Triple: [Archimedes' spiral, relatedConcept, Fermat's spiral]
Generated description
Fermat's spiral is a plane curve whose radius grows with the square root of the angle, often used to model naturally occurring spiral patterns such as those in sunflowers and other phyllotactic arrangements.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Fermat's spiral
Target entity description: Fermat's spiral is a plane curve whose radius grows with the square root of the angle, often used to model naturally occurring spiral patterns such as those in sunflowers and other phyllotactic arrangements.
  • A. Archimedes' spiral
    Archimedes' spiral is a classical mathematical curve that winds outward from a fixed point at a constant rate as it revolves around that point.
  • B. Ulam spiral
    The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
  • C. Eratosthenes spiral
    The Eratosthenes spiral is a geometric visualization of prime numbers generated by the sieve of Eratosthenes, arranging integers in a spiral so that primes form distinctive radial patterns.
  • D. Vogel spiral
    The Vogel spiral is a mathematical pattern that arranges points in a spiral using the golden angle, often used to model the optimal packing seen in sunflower seed arrangements and other natural phyllotaxis patterns.
  • E. Bernoulli lemniscate
    The Bernoulli lemniscate is a figure-eight–shaped algebraic curve that serves as a classic example in the study of complex analysis, elliptic functions, and special constants.
  • 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_69c68826e6a48190a3d220b541e639de completed March 27, 2026, 1:37 p.m.
NER Named-entity recognition batch_69c6d2e714d4819084c8109c4de7de72 completed March 27, 2026, 6:56 p.m.
NED1 Entity disambiguation (via context triple) batch_69c71a9b0cc48190819380aeaf0228e7 completed March 28, 2026, 12:02 a.m.
NEDg Description generation batch_69c71d64c2fc8190abda8b5a0f57291b completed March 28, 2026, 12:14 a.m.
NED2 Entity disambiguation (via description) batch_69c71f3d4b8081908768c79642266431 completed March 28, 2026, 12:22 a.m.
Created at: March 27, 2026, 2:16 p.m.