Penrose triangle
E340274
The Penrose triangle is an impossible optical illusion figure that appears to be a solid three-dimensional triangle but cannot exist in Euclidean space.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Penrose triangle canonical | 3 |
| Penrose tribar | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3236639 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Penrose triangle Context triple: [Roger Penrose, developedConcept, Penrose triangle]
-
A.
Dalí Triangle
The Dalí Triangle is a cultural and tourist route in Catalonia, Spain, that links three key sites closely associated with the life and work of surrealist artist Salvador Dalí.
-
B.
Penrose
Penrose is a neighborhood in Southwest Philadelphia known for its residential character and proximity to major city thoroughfares and the airport.
-
C.
Triskelion
The Triskelion is a massive high-tech headquarters and command center used by the Marvel Universe intelligence agency S.H.I.E.L.D.
-
D.
Turning Torso
Turning Torso is a landmark neo-futuristic residential skyscraper in Malmö, Sweden, renowned for its distinctive twisting form inspired by a human body in motion.
-
E.
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Penrose triangle Target entity description: The Penrose triangle is an impossible optical illusion figure that appears to be a solid three-dimensional triangle but cannot exist in Euclidean space.
-
A.
Dalí Triangle
The Dalí Triangle is a cultural and tourist route in Catalonia, Spain, that links three key sites closely associated with the life and work of surrealist artist Salvador Dalí.
-
B.
Penrose
Penrose is a neighborhood in Southwest Philadelphia known for its residential character and proximity to major city thoroughfares and the airport.
-
C.
Triskelion
The Triskelion is a massive high-tech headquarters and command center used by the Marvel Universe intelligence agency S.H.I.E.L.D.
-
D.
Turning Torso
Turning Torso is a landmark neo-futuristic residential skyscraper in Malmö, Sweden, renowned for its distinctive twisting form inspired by a human body in motion.
-
E.
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.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
geometric figure
ⓘ
impossible object ⓘ optical illusion ⓘ visual paradox ⓘ |
| appearsAs | solid three-dimensional triangle ⓘ |
| cannotExistIn | Euclidean space ⓘ |
| hasAlternativeName |
Penrose tribar
ⓘ
linked to:
Penrose triangle
impossible triangle ⓘ tribar ⓘ |
| hasCulturalAssociation |
mathematical art
ⓘ
paradox ⓘ surrealism ⓘ
linked to:
Surrealism
|
| hasDimensionalityInDepiction | 2D drawing ⓘ |
| hasDimensionalityInIllusion | 3D object appearance ⓘ |
| hasEdgeCount | 3 ⓘ |
| hasMathematicalField |
geometry
ⓘ
recreational mathematics ⓘ |
| hasNotableUseIn |
graphic design
ⓘ
logo design ⓘ mathematics popularization ⓘ psychology of perception ⓘ |
| hasProperty |
globally inconsistent geometry
ⓘ
locally consistent geometry ⓘ non-Euclidean geometry illusion ⓘ |
| hasPublicationContext | British Journal of Psychology ⓘ |
| hasShape | triangular ⓘ |
| hasStudyField |
cognitive psychology
ⓘ
vision science ⓘ |
| hasTopologicalProperty | non-realizable in 3D Euclidean space ⓘ |
| hasYearOfPopularization | 1958 ⓘ |
| illustratesConcept |
conflict between local and global consistency
ⓘ
impossible geometry ⓘ limitations of human depth perception ⓘ visual ambiguity ⓘ |
| inspired |
artworks by M. C. Escher
ⓘ
linked to:
M. C. Escher
|
| isConstructedFrom | three straight beams in perspective ⓘ |
| isDepictedUsing |
forced perspective
ⓘ
isometric projection ⓘ |
| isRelatedTo |
Escherian stairway
ⓘ
linked to:
Penrose stairs
Necker cube ⓘ Penrose stairs ⓘ impossible cube ⓘ |
| isUsedAs |
symbol of impossibility
ⓘ
symbol of paradoxical thinking ⓘ |
| requiresForPhysicalModel |
alignment of separate 3D components
ⓘ
carefully chosen viewpoint ⓘ |
| wasPopularizedBy |
Lionel Penrose
ⓘ
Roger Penrose ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Penrose triangle Description of subject: The Penrose triangle is an impossible optical illusion figure that appears to be a solid three-dimensional triangle but cannot exist in Euclidean space.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Penrose triangle