Variations of Incomplete Open Cubes
E466159
Variations of Incomplete Open Cubes is a conceptual art series by Sol LeWitt that systematically explores all possible structural permutations of partially open cube forms.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Variations of Incomplete Open Cubes canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T4745546 — 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: Variations of Incomplete Open Cubes Context triple: [Sol LeWitt, notableWork, Variations of Incomplete Open Cubes]
-
A.
The Fifty-Nine Icosahedra
The Fifty-Nine Icosahedra is a classic mathematical monograph by H. S. M. Coxeter that systematically classifies and analyzes the distinct stellations of the regular icosahedron.
-
B.
Euler’s polyhedron formula
Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
-
C.
Conway's 99-graph problem
Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
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D.
Kepler–Poinsot polyhedra
The Kepler–Poinsot polyhedra are the four regular star polyhedra that extend the concept of Platonic solids into non-convex, self-intersecting forms.
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E.
Archimedean solids
Archimedean solids are a set of thirteen highly symmetric, semi-regular convex polyhedra characterized by identical vertices and faces composed of more than one type of regular polygon.
- 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: Variations of Incomplete Open Cubes Target entity description: Variations of Incomplete Open Cubes is a conceptual art series by Sol LeWitt that systematically explores all possible structural permutations of partially open cube forms.
-
A.
The Fifty-Nine Icosahedra
The Fifty-Nine Icosahedra is a classic mathematical monograph by H. S. M. Coxeter that systematically classifies and analyzes the distinct stellations of the regular icosahedron.
-
B.
Euler’s polyhedron formula
Euler’s polyhedron formula is a fundamental result in topology and geometry that relates the numbers of vertices, edges, and faces of a convex polyhedron through the equation V − E + F = 2.
-
C.
Conway's 99-graph problem
Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
-
D.
Kepler–Poinsot polyhedra
The Kepler–Poinsot polyhedra are the four regular star polyhedra that extend the concept of Platonic solids into non-convex, self-intersecting forms.
-
E.
Archimedean solids
Archimedean solids are a set of thirteen highly symmetric, semi-regular convex polyhedra characterized by identical vertices and faces composed of more than one type of regular polygon.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
artwork
ⓘ
conceptual artwork series ⓘ |
| aimsTo | exhaust all structural permutations of incomplete open cubes ⓘ |
| artForm |
drawing
ⓘ
sculpture ⓘ |
| color | often white ⓘ |
| concept |
modular structures
ⓘ
reduction of form ⓘ seriality ⓘ systematic enumeration of formal possibilities ⓘ |
| countryOfOrigin |
United States
ⓘ
linked to:
United States of America
|
| creator | Sol LeWitt ⓘ |
| creatorNationality | American ⓘ |
| depicts |
cube
ⓘ
incomplete cube ⓘ open cube ⓘ |
| displayForm | grid-like arrangement of cube variations ⓘ |
| documentationForm |
photographs of cube structures
ⓘ
printed diagrams ⓘ |
| exhibitionPractice | often exhibited as a group installation ⓘ |
| genre | conceptual art ⓘ |
| hasPart |
diagrams
ⓘ
drawings ⓘ series of three-dimensional cube structures ⓘ |
| inception | 1970s ⓘ |
| influencedBy |
mathematical combinatorics
ⓘ
modernist abstraction ⓘ serial art ⓘ |
| languageOfWork | none (non-verbal visual work) ⓘ |
| mainSubject |
incomplete cubes
ⓘ
open geometric forms ⓘ systematic permutations of cube structures ⓘ |
| movement |
Conceptual art
ⓘ
Minimalism ⓘ |
| notableFor |
rigorous logical structure
ⓘ
systematic exploration of form ⓘ use of simple geometric modules ⓘ |
| philosophicalFocus | primacy of the idea over the object ⓘ |
| relatedWork |
Incomplete Open Cubes
ⓘ
Serial Project, I (ABCD) ⓘ |
| structuralFeature |
absence of some cube edges to create incompleteness
ⓘ
edges of cubes with some edges removed ⓘ open framework construction ⓘ |
| usesMaterial |
paint
ⓘ
wood ⓘ |
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: Variations of Incomplete Open Cubes Description of subject: Variations of Incomplete Open Cubes is a conceptual art series by Sol LeWitt that systematically explores all possible structural permutations of partially open cube forms.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Solomon