Regular Polytopes
E412205
"Regular Polytopes" is a classic mathematical monograph by H. S. M. Coxeter that systematically develops the theory and classification of highly symmetric polytopes in various dimensions.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Regular Polytopes canonical | 3 |
| Coxeter’s "Regular Polytopes" | 1 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics monograph ⓘ |
| author |
H. S. M. Coxeter
ⓘ
H. S. M. Coxeter ⓘ
surface form:
Harold Scott MacDonald Coxeter
|
| countryOfOrigin | United Kingdom ⓘ |
| covers |
Archimedean solids
ⓘ
Coxeter–Dynkin diagrams ⓘ
surface form:
Coxeter groups
Platonic solids ⓘ Schläfli symbols ⓘ reflection groups ⓘ regular polytopes in four dimensions ⓘ regular polytopes in higher dimensions ⓘ regular star polyhedra ⓘ symmetry groups of polytopes ⓘ tessellations by regular polytopes ⓘ |
| field |
discrete geometry
ⓘ
geometry ⓘ polytope theory ⓘ |
| firstPublicationYear | 1947 ⓘ |
| genre |
geometry
ⓘ
mathematics ⓘ |
| hasEdition |
second edition
ⓘ
third edition ⓘ |
| hasMathematicalClassification |
finite regular polytopes
ⓘ
infinite regular tessellations ⓘ |
| hasReputation |
classic reference in geometry
ⓘ
standard work on regular polytopes ⓘ |
| influenced |
modern polytope theory
ⓘ
study of higher-dimensional regular figures ⓘ |
| language | English ⓘ |
| mainSubject |
classification of regular polytopes
ⓘ
higher-dimensional geometry ⓘ polyhedra ⓘ regular polytopes ⓘ symmetry ⓘ |
| notableEdition | Dover edition ⓘ |
| publisher |
Dover Publications
ⓘ
Methuen ⓘ |
| relatedConcept |
Coxeter group
ⓘ
regular honeycomb ⓘ regular polyhedron ⓘ uniform polytope ⓘ |
| relatedWork | Introduction to Geometry ⓘ |
| structure | systematic classification of regular polytopes in all dimensions ⓘ |
| targetAudience |
advanced students of mathematics
ⓘ
mathematicians ⓘ |
| timePeriodCovered | classical and modern results up to mid-20th century ⓘ |
| uses |
Coxeter–Dynkin diagrams
ⓘ
Schläfli symbol notation ⓘ |
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Coxeter’s "Regular Polytopes"