The Beauty of Geometry
E412209
The Beauty of Geometry is a classic mathematical book by H. S. M. Coxeter that explores elegant geometric ideas and configurations through clear exposition and rich illustrations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| The Beauty of Geometry canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4105489 — 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: The Beauty of Geometry Context triple: [H. S. M. Coxeter, notableWork, The Beauty of Geometry]
-
A.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
B.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
C.
Platonic solids
Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
-
D.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
E.
Symmetry
Symmetry is a seminal 1952 book by mathematician and physicist Hermann Weyl that explores the concept of symmetry across mathematics, physics, art, and nature for a general audience.
- 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: The Beauty of Geometry Target entity description: The Beauty of Geometry is a classic mathematical book by H. S. M. Coxeter that explores elegant geometric ideas and configurations through clear exposition and rich illustrations.
-
A.
Grundlagen der Geometrie
Grundlagen der Geometrie is David Hilbert’s foundational 1899 treatise that rigorously axiomatizes Euclidean geometry and helped shape modern mathematical logic and the axiomatic method.
-
B.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
-
C.
Platonic solids
Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
-
D.
Neue Geometrie des Raumes
Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
-
E.
Symmetry
Symmetry is a seminal 1952 book by mathematician and physicist Hermann Weyl that explores the concept of symmetry across mathematics, physics, art, and nature for a general audience.
- F. None of above. chosen
Statements (36)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
geometry book ⓘ mathematics book ⓘ |
| author |
H. S. M. Coxeter
ⓘ
H. S. M. Coxeter ⓘ
surface form:
Harold Scott MacDonald Coxeter
|
| emphasizes |
aesthetic aspects of mathematics
ⓘ
elegance of geometric proofs ⓘ |
| explores |
beauty in mathematical reasoning
ⓘ
connections between geometry and symmetry ⓘ historical geometric problems ⓘ relationships between geometric configurations ⓘ |
| feature |
clear exposition
ⓘ
problems and exercises ⓘ rich illustrations ⓘ |
| focusesOn |
classical geometric theorems
ⓘ
symmetry in geometry ⓘ synthetic geometry ⓘ transformational geometry ⓘ visual aspects of geometry ⓘ |
| genre |
geometry
ⓘ
mathematics ⓘ non-fiction ⓘ |
| hasReputation |
accessible introduction to advanced geometric ideas
ⓘ
classic text in geometry ⓘ |
| illustrationType |
diagrams
ⓘ
geometric figures ⓘ |
| intendedFor |
geometry enthusiasts
ⓘ
students of mathematics ⓘ teachers of mathematics ⓘ |
| language | English ⓘ |
| structure | collection of expository chapters ⓘ |
| subject |
classical geometry
ⓘ
elegant geometric ideas ⓘ geometric configurations ⓘ geometry ⓘ |
| writtenBy |
H. S. M. Coxeter
ⓘ
surface form:
Canadian mathematician H. S. M. Coxeter
|
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: The Beauty of Geometry Description of subject: The Beauty of Geometry is a classic mathematical book by H. S. M. Coxeter that explores elegant geometric ideas and configurations through clear exposition and rich illustrations.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.