Triple

T12175089
Position Surface form Disambiguated ID Type / Status
Subject Lissajous orbit E290066 entity
Predicate isRelatedTo P37 FINISHED
Object Lissajous curve
A Lissajous curve is a complex, looping figure traced by combining two perpendicular harmonic motions, often visualized on an oscilloscope.
E965898 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: Lissajous curve | Statement: [Lissajous orbit, isRelatedTo, Lissajous curve]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Lissajous curve
Context triple: [Lissajous orbit, isRelatedTo, Lissajous curve]
  • 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. 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.
  • C. 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.
  • D. Tusi couple
    The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
  • E. Cornu spiral
    The Cornu spiral is a graphical representation of Fresnel integrals that forms a characteristic S-shaped curve used to analyze diffraction and wave propagation in optics and engineering.
  • 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: Lissajous curve
Triple: [Lissajous orbit, isRelatedTo, Lissajous curve]
Generated description
A Lissajous curve is a complex, looping figure traced by combining two perpendicular harmonic motions, often visualized on an oscilloscope.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Lissajous curve
Target entity description: A Lissajous curve is a complex, looping figure traced by combining two perpendicular harmonic motions, often visualized on an oscilloscope.
  • 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. 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.
  • C. 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.
  • D. Tusi couple
    The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
  • E. Cornu spiral
    The Cornu spiral is a graphical representation of Fresnel integrals that forms a characteristic S-shaped curve used to analyze diffraction and wave propagation in optics and engineering.
  • 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_69d6ab4d6c00819095a9a7c35de83cfb completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d915dc71788190bdaadf7be9d8d6ce completed April 10, 2026, 3:23 p.m.
NED1 Entity disambiguation (via context triple) batch_69f5f6a9482481909500c216f23fceb4 completed May 2, 2026, 1:05 p.m.
NEDg Description generation batch_69f5fdebe3fc81909a5bb23a943c3c43 completed May 2, 2026, 1:36 p.m.
NED2 Entity disambiguation (via description) batch_69f5feeaf2e48190995f282b02a9caaf completed May 2, 2026, 1:40 p.m.
Created at: April 8, 2026, 9:50 p.m.