Arthur Harold Stone (30 September 1916 – 6 August 2000) was a British

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

, born in London, who worked at the universities of

Manchester Manchester () is a city and the metropolitan borough of Greater Manchester, England. It had an estimated population of in . Greater Manchester is the third-most populous metropolitan area in the United Kingdom, with a population of 2.92&nbs ...

and Rochester, mostly in

topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...

. His wife was

American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, p ...

Dorothy Maharam. Stone studied at

Trinity College, Cambridge Trinity College is a Colleges of the University of Cambridge, constituent college of the University of Cambridge. Founded in 1546 by King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any ...

. His first paper dealt with

squaring the square Squaring the square is the problem of tessellation, tiling an integral square using only other integral squares. (An integral square is a square (geometry), square whose sides have integer length.) The name was coined in a humorous analogy with sq ...

, he proved the

Erdős–Stone theorem In extremal graph theory, the Erdős–Stone theorem is an asymptotic result generalising Turán's theorem to bound the number of edges in an ''H''-free graph for a non-complete graph ''H''. It is named after Paul Erdős and Arthur Stone (mathemati ...

with

Paul Erdős Paul Erdős ( ; 26March 191320September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, g ...

and is credited with the discovery of the first two

flexagon In geometry, flexagons are Plane (geometry), flat models, usually constructed by folding strips of paper, that can be ''flexed'' or folded in certain ways to reveal faces besides the two that were originally on the back and front. Flexagons are ...

s, a

trihexaflexagon In geometry, flexagons are Plane (geometry), flat models, usually constructed by folding strips of paper, that can be ''flexed'' or folded in certain ways to reveal faces besides the two that were originally on the back and front. Flexagons are ...

and a hexahexaflexagon while he was a student at

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

in 1939. His

Ph.D. A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...

thesis, ''Connectedness and Coherence'', was written in 1941 under the direction of

Solomon Lefschetz Solomon Lefschetz (; 3 September 1884 – 5 October 1972) was a Russian-born American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equatio ...

. He served as a referee for ''The American Mathematical Monthly'' journal in the 1980s. The Stone

metrization theorem In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological space (X, \tau) is said to be metrizable if there is a metric d : X \times X \to , \infty) such ...

has been named after him, and he was a member of a group of mathematicians who published pseudonymously as

Blanche Descartes Blanche Descartes was a collaborative pseudonym used by the English people, English mathematicians R. Leonard Brooks, Arthur Harold Stone, Cedric Smith (statistician), Cedric Smith, and W. T. Tutte. The four mathematicians met in 1935 as undergradu ...

. He is not to be confused with American mathematician

Marshall Harvey Stone Marshall Harvey Stone (April 8, 1903 – January 9, 1989) was an American mathematician who contributed to real analysis, functional analysis, topology and the study of Boolean algebras. Biography Stone was the son of Harlan Fiske Stone, who ...

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* * 1916 births 2000 deaths 20th-century American mathematicians 20th-century English mathematicians Alumni of Trinity College, Cambridge British expatriate academics in the United States English expatriates in the United States British topologists Mathematicians from London Princeton University alumni {{UK-mathematician-stub

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