Circle Limit III
E774079
Circle Limit III is a famous 1959 woodcut print by M. C. Escher that depicts an infinite tessellation of fish in hyperbolic space, exemplifying his fascination with mathematical geometry and visual paradox.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Circle Limit III canonical | 3 |
How this entity was disambiguated
This entity first appeared as the object of triple T8998090 — 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: Circle Limit III Context triple: [M. C. Escher, notableWork, Circle Limit III]
-
A.
Circle Limit I
Circle Limit I is a 1958 woodcut print by M. C. Escher that depicts an infinite tessellation of fish within a hyperbolic, circular geometry.
-
B.
Imaginary Landscape No. 4
Imaginary Landscape No. 4 is an experimental 1951 composition by John Cage for 12 radios and 24 performers that explores chance operations and indeterminacy in music.
-
C.
Penrose stairs
The Penrose stairs is an impossible object and optical illusion depicting a staircase that appears to ascend or descend forever in a loop, defying the rules of Euclidean geometry.
-
D.
Mandala
Mandala is a 1983 electronic music album by Japanese composer Kitaro, known for its atmospheric, synthesizer-driven soundscapes characteristic of his New Age style.
-
E.
Black Square
Black Square is a groundbreaking abstract painting by Kazimir Malevich that became an icon of the Suprematist movement and a symbol of radical artistic minimalism in the early 20th century.
- 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: Circle Limit III Target entity description: Circle Limit III is a famous 1959 woodcut print by M. C. Escher that depicts an infinite tessellation of fish in hyperbolic space, exemplifying his fascination with mathematical geometry and visual paradox.
-
A.
Circle Limit I
Circle Limit I is a 1958 woodcut print by M. C. Escher that depicts an infinite tessellation of fish within a hyperbolic, circular geometry.
-
B.
Imaginary Landscape No. 4
Imaginary Landscape No. 4 is an experimental 1951 composition by John Cage for 12 radios and 24 performers that explores chance operations and indeterminacy in music.
-
C.
Penrose stairs
The Penrose stairs is an impossible object and optical illusion depicting a staircase that appears to ascend or descend forever in a loop, defying the rules of Euclidean geometry.
-
D.
Mandala
Mandala is a 1983 electronic music album by Japanese composer Kitaro, known for its atmospheric, synthesizer-driven soundscapes characteristic of his New Age style.
-
E.
Black Square
Black Square is a groundbreaking abstract painting by Kazimir Malevich that became an icon of the Suprematist movement and a symbol of radical artistic minimalism in the early 20th century.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
artwork
ⓘ
tessellation artwork ⓘ woodcut print ⓘ |
| artForm | print ⓘ |
| artist | M. C. Escher ⓘ |
| basedOn | hyperbolic geometry ⓘ |
| color |
blue
ⓘ
green ⓘ orange ⓘ white ⓘ |
| colorScheme | four-color design ⓘ |
| countryOfOrigin | Netherlands ⓘ |
| creator | M. C. Escher ⓘ |
| creatorNationality | Dutch ⓘ |
| depicts |
fish
ⓘ
hyperbolic plane ⓘ infinite tiling ⓘ tessellation ⓘ |
| feature |
conformal mapping
ⓘ
decreasing scale toward boundary ⓘ radial symmetry ⓘ repeating fish motifs ⓘ |
| genre |
mathematical art
ⓘ
printmaking ⓘ |
| hasPart |
central fish motif
ⓘ
circular boundary ⓘ interlocking fish shapes ⓘ |
| inception | 1959 ⓘ |
| inspiredBy |
Poincaré disk model of hyperbolic geometry
ⓘ
linked to:
Poincaré disk model
non-Euclidean geometry ⓘ
linked to:
Non-Euclidean Geometry
|
| languageOfWorkOrName | none (image only) ⓘ |
| mathematicalProperty |
circle limit construction
ⓘ
conformal tiling ⓘ hyperbolic tessellation ⓘ |
| medium | woodcut ⓘ |
| movement |
Op art
ⓘ
mathematical modernism ⓘ |
| notableFor |
combination of art and mathematics
ⓘ
infinite repetition of motifs ⓘ visualization of hyperbolic space ⓘ |
| partOf | Circle Limit series ⓘ |
| publicationDate | 1959 ⓘ |
| series | Circle Limit series ⓘ |
| subjectMatter |
fish pattern
ⓘ
hyperbolic geometry ⓘ infinite tessellation ⓘ |
| title | Circle Limit III ⓘ |
| uses | Poincaré disk model ⓘ |
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: Circle Limit III Description of subject: Circle Limit III is a famous 1959 woodcut print by M. C. Escher that depicts an infinite tessellation of fish in hyperbolic space, exemplifying his fascination with mathematical geometry and visual paradox.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.