How do you use Coxeter in a sentence? See 9 example sentences showing how this word appears in different contexts, plus the exact meaning.
Coxeter in a sentence
Coxeter meaning
A surname.
Using Coxeter
- The main meaning on this page is: A surname.
- In the example corpus, coxeter often appears in combinations such as: to coxeter, and coxeter.
Context around Coxeter
- Average sentence length in these examples: 25.1 words
- Position in the sentence: 5 start, 4 middle, 0 end
- Sentence types: 9 statements, 0 questions, 0 exclamations
Corpus analysis for Coxeter
- In this selection, "coxeter" usually appears near the start of the sentence. The average example has 25.1 words, and this corpus slice is mostly made up of statements.
- Around the word, analysis, infinite, 1957, 1973, showing and confirmed stand out and add context to how "coxeter" is used.
- Recognizable usage signals include coxeter 1973 attempts and coxeter s analysis. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "coxeter" sits close to words such as aakash, aanholt and aardwolf, which helps place it inside the broader word index.
Example types with coxeter
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
See (Coxeter 1973) for a derivation of these facts. (9 words)
Both Roger Penrose and H. S. M. Coxeter were deeply impressed with Escher's intuitive grasp of mathematics. (18 words)
Compact Euclidean uniform tessellations (by their infinite Coxeter group families) Fundamental domains in a cubic element of three groups. (19 words)
The first known man-made polyhedra are spherical polyhedra carved in stone, Poinsot used spherical polyhedra to discover the four regular star polyhedra and Coxeter used them to enumerate all but one of the uniform polyhedra. (36 words)
Generalizations Parity can be generalized to Coxeter groups : one defines a length function which depends on a choice of generators (for the symmetric group, adjacent transpositions ), and then the function gives a generalized sign map. (35 words)
Coxeter (1973) Attempts to generalise the Euler characteristic of polyhedra to higher-dimensional polytopes led to the development of topology and the treatment of a decomposition or CW-complex as analogous to a polytope. (34 words)
Example sentences (9)
He then constructed a diagram, which he sent to Coxeter, showing his analysis; Coxeter confirmed it was correct, but disappointed Escher with his highly technical reply.
Both Roger Penrose and H. S. M. Coxeter were deeply impressed with Escher's intuitive grasp of mathematics.
Compact Euclidean uniform tessellations (by their infinite Coxeter group families) Fundamental domains in a cubic element of three groups.
Coxeter (1973) Attempts to generalise the Euler characteristic of polyhedra to higher-dimensional polytopes led to the development of topology and the treatment of a decomposition or CW-complex as analogous to a polytope.
Coxeter's analysis in The Fifty-Nine Icosahedra introduced modern ideas from graph theory and combinatorics into the study of polyhedra, signalling a rebirth of interest in geometry.
Generalizations Parity can be generalized to Coxeter groups : one defines a length function which depends on a choice of generators (for the symmetric group, adjacent transpositions ), and then the function gives a generalized sign map.
In 1957, Coxeter obtained Escher's permission to use two of his drawings in his paper "Crystal symmetry and its generalizations".
See (Coxeter 1973) for a derivation of these facts.
The first known man-made polyhedra are spherical polyhedra carved in stone, Poinsot used spherical polyhedra to discover the four regular star polyhedra and Coxeter used them to enumerate all but one of the uniform polyhedra.
Common combinations with coxeter
These word pairs occur most frequently in English texts:
- to coxeter 2×
- and coxeter 2×