Triple
T8998101
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | M. C. Escher |
E214968
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Regular Division of the Plane
Regular Division of the Plane is a series of graphic works by M. C. Escher exploring intricate, interlocking tessellations that completely cover the plane with repeating figures.
|
E771386
|
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 Division of the Plane | Statement: [M. C. Escher, notableWork, Regular Division of the Plane]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Regular Division of the Plane Context triple: [M. C. Escher, notableWork, Regular Division of the Plane]
-
A.
On Divisions of Figures
On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
-
B.
Sylvester–Gallai theorem
The Sylvester–Gallai theorem is a result in incidence geometry stating that for any finite set of points in the Euclidean plane not all on a single line, there exists a line that passes through exactly two of the points.
-
C.
On the Art of Measurement with the Compass and Ruler
"On the Art of Measurement with the Compass and Ruler" is a foundational Renaissance treatise by Albrecht Dürer that systematizes the use of geometry and proportion in artistic design and representation.
-
D.
Checkerboard Division
The Checkerboard Division is the nickname of the U.S. Army’s 99th Infantry Division, a World War II unit noted for its distinctive shoulder patch and its role in the Battle of the Bulge.
-
E.
Penrose tilings
Penrose tilings are non-periodic tilings of the plane that use a small set of shapes to create patterns with fivefold symmetry and no translational repetition, widely studied in mathematics and physics.
- 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 Division of the Plane Triple: [M. C. Escher, notableWork, Regular Division of the Plane]
Generated description
Regular Division of the Plane is a series of graphic works by M. C. Escher exploring intricate, interlocking tessellations that completely cover the plane with repeating figures.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Regular Division of the Plane Target entity description: Regular Division of the Plane is a series of graphic works by M. C. Escher exploring intricate, interlocking tessellations that completely cover the plane with repeating figures.
-
A.
On Divisions of Figures
On Divisions of Figures is an ancient mathematical treatise attributed to Euclid that systematically studies how geometric figures can be divided into parts with specified ratios or properties.
-
B.
Sylvester–Gallai theorem
The Sylvester–Gallai theorem is a result in incidence geometry stating that for any finite set of points in the Euclidean plane not all on a single line, there exists a line that passes through exactly two of the points.
-
C.
On the Art of Measurement with the Compass and Ruler
"On the Art of Measurement with the Compass and Ruler" is a foundational Renaissance treatise by Albrecht Dürer that systematizes the use of geometry and proportion in artistic design and representation.
-
D.
Checkerboard Division
The Checkerboard Division is the nickname of the U.S. Army’s 99th Infantry Division, a World War II unit noted for its distinctive shoulder patch and its role in the Battle of the Bulge.
-
E.
Penrose tilings
Penrose tilings are non-periodic tilings of the plane that use a small set of shapes to create patterns with fivefold symmetry and no translational repetition, widely studied in mathematics and physics.
- 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_69ca83a05c608190bdfdbdb25e994b39 |
completed | March 30, 2026, 2:07 p.m. |
| NER | Named-entity recognition | batch_69cc68e23734819083a98f4ff0942479 |
completed | April 1, 2026, 12:37 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69cfd0d586c881909090b424f6fd036f |
completed | April 3, 2026, 2:38 p.m. |
| NEDg | Description generation | batch_69cfd15c82208190adc11bc6ab1b959b |
completed | April 3, 2026, 2:40 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69cfd1eb7f588190a7b7a4ccb48a51d9 |
completed | April 3, 2026, 2:42 p.m. |
Created at: March 30, 2026, 7:05 p.m.