Triple

T8454681
Position Surface form Disambiguated ID Type / Status
Subject Menger sponge E199890 entity
Predicate relatedTo P37 FINISHED
Object Sierpiński carpet
The Sierpiński carpet is a classic two-dimensional fractal formed by repeatedly removing central squares from a larger square, resulting in a highly intricate, self-similar pattern with zero area but infinite perimeter.
E735955 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: Sierpiński carpet | Statement: [Menger sponge, relatedTo, Sierpiński carpet]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Sierpiński carpet
Context triple: [Menger sponge, relatedTo, Sierpiński carpet]
  • A. Menger sponge
    The Menger sponge is a classic three-dimensional fractal object characterized by infinite surface area and zero volume, constructed by recursively removing cubes from a larger cube.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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: Sierpiński carpet
Triple: [Menger sponge, relatedTo, Sierpiński carpet]
Generated description
The Sierpiński carpet is a classic two-dimensional fractal formed by repeatedly removing central squares from a larger square, resulting in a highly intricate, self-similar pattern with zero area but infinite perimeter.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Sierpiński carpet
Target entity description: The Sierpiński carpet is a classic two-dimensional fractal formed by repeatedly removing central squares from a larger square, resulting in a highly intricate, self-similar pattern with zero area but infinite perimeter.
  • A. Menger sponge
    The Menger sponge is a classic three-dimensional fractal object characterized by infinite surface area and zero volume, constructed by recursively removing cubes from a larger cube.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. 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.
  • 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_69ca8318231881908fd1bc1c4d45d286 completed March 30, 2026, 2:05 p.m.
NER Named-entity recognition batch_69cbe48ca9988190b60ebd09a135194d completed March 31, 2026, 3:13 p.m.
NED1 Entity disambiguation (via context triple) batch_69ce39caf4bc8190a1850b2124684a2a completed April 2, 2026, 9:41 a.m.
NEDg Description generation batch_69ce3bb440a8819085352ea50c39c109 completed April 2, 2026, 9:49 a.m.
NED2 Entity disambiguation (via description) batch_69ce3c698210819098367fdacadc936a completed April 2, 2026, 9:52 a.m.
Created at: March 30, 2026, 6:10 p.m.