Triple

T7833215
Position Surface form Disambiguated ID Type / Status
Subject Lyapunov fractal E181624 entity
Predicate relatedTo P37 FINISHED
Object Julia set
A Julia set is a complex fractal formed by iterating a function on the complex plane, often producing intricate, self-similar boundary patterns that are central objects in complex dynamics.
 E705565 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: Julia set | Statement: [Lyapunov fractal, relatedTo, Julia set]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Julia set
Context triple: [Lyapunov fractal, relatedTo, Julia set]
  • A. Mandelbrot set
    The Mandelbrot set is a famous complex-plane fractal defined by iterating quadratic polynomials, known for its infinitely intricate boundary and iconic role in chaos theory and complex dynamics.
  • B. Lyapunov fractal
    The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
  • C. Mandel
    Mandel is known primarily as the spouse of Nero, the infamous Roman emperor.
  • D. Cantor set
    The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
  • E. Peano curve
    The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
  • 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: Julia set
Triple: [Lyapunov fractal, relatedTo, Julia set]
Generated description
A Julia set is a complex fractal formed by iterating a function on the complex plane, often producing intricate, self-similar boundary patterns that are central objects in complex dynamics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Julia set
Target entity description: A Julia set is a complex fractal formed by iterating a function on the complex plane, often producing intricate, self-similar boundary patterns that are central objects in complex dynamics.
  • A. Mandelbrot set
    The Mandelbrot set is a famous complex-plane fractal defined by iterating quadratic polynomials, known for its infinitely intricate boundary and iconic role in chaos theory and complex dynamics.
  • B. Lyapunov fractal
    The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
  • C. Mandel
    Mandel is known primarily as the spouse of Nero, the infamous Roman emperor.
  • D. Cantor set
    The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
  • E. Peano curve
    The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
  • 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_69ca8284a25c8190a1a20afad30da792 completed March 30, 2026, 2:02 p.m.
NER Named-entity recognition batch_69cb064a47648190af2ca2b336584a92 completed March 30, 2026, 11:24 p.m.
NED1 Entity disambiguation (via context triple) batch_69cbdef32d4c8190a2e5c76d2db6c45f completed March 31, 2026, 2:49 p.m.
NEDg Description generation batch_69cc46bca04481908852425c214a4e34 completed March 31, 2026, 10:12 p.m.
NED2 Entity disambiguation (via description) batch_69cc49129e188190aaebd6a1188788d9 completed March 31, 2026, 10:22 p.m.
Created at: March 30, 2026, 4:45 p.m.