# Mathematician:Harold Scott MacDonald Coxeter

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## Mathematician

British-born Canadian mathematician who is best known for his work in geometry.

## Nationality

British / Canadian

## History

- Born: 9 February 1907 in London, England
- Died: 31 March 2003 in Toronto, Canada

## Theorems and Definitions

- Coxeter Element
- Coxeter Functor
- Coxeter Graph
- Coxeter Group
- Coxeter Matroid
- Coxeter Notation
- Coxeter-Dynkin Diagram (with Eugene Borisovich Dynkin)
- Coxeter-Todd Lattice (with John Arthur Todd)

- Boerdijk-Coxeter Helix (with A.H. Boerdijk)
- Goldberg-Coxeter Construction
- Tutte-Coxeter Graph (with William Thomas Tutte)
- LCF Notation (with Joshua Lederberg and Robert Wertheimer Frucht)

Results named for **Harold Scott MacDonald Coxeter** can be found here.

Definitions of concepts named for **Harold Scott MacDonald Coxeter** can be found here.

## Publications

- 1939:
*Mathematical Recreations and Essays, 11th ed.*(with W.W. Rouse Ball) - 1940:
*Regular and Semi-Regular Polytopes I*(*Math. Z.***Vol. 46**: pp. 380 – 407) - 1942:
*Non-Euclidean Geometry* - 1947:
*Non-Euclidean Geometry*(2nd ed) - 1949:
*The Real Projective Plane* - 1953:
*The Golden Section, Phyllotaxis, and Wythoft's Game*(*Scripta Math.***Vol. 19**: pp. 135 – 143) - 1954:
*Uniform polyhedra*(*Phil. Trans.***Ser. A****Vol. 246**: p. 401) (with M.S. Longuet-Higgins and J.C.P. Miller) - 1957:
*Map-Coloring Problems*(*Scripta Math.***Vol. 23**: pp. 11 – 25) - 1957:
*Non-Euclidean Geometry*(3rd ed) - 1957:
*Generators and Relations for Discrete Groups*(with William Moser) - 1961:
*Non-Euclidean Geometry*(4th ed) - 1961:
*Introduction to Geometry* - 1963:
*Regular Polytopes*(2nd edition) - 1965:
*Non-Euclidean Geometry*(5th ed) - 1967:
*Geometry Revisited*(with S.L. Greitzer) - 1970:
*Twisted honeycombs* - 1973:
*Regular Polytopes*(3rd edition) - 1974:
*Projective Geometry*(2nd edition) - 1974:
*Regular Complex Polytopes* - 1974:
*Mathematical Recreations and Essays, 12th ed.*(with W.W. Rouse Ball) - 1985:
*Regular and Semi-Regular Polytopes II*(*Math. Z.***Vol. 188**: pp. 559 – 591) - 1988:
*Regular and Semi-Regular Polytopes III*(*Math. Z.***Vol. 200**: pp. 3 – 45) - 1998:
*Non-Euclidean Geometry*(6th ed) - 1999:
*The Beauty of Geometry: Twelve Essays*

## Also known as

Sometimes erroneously reported as **H.M.S. Coxeter**.