James Mark McGinnis Barr
[Full name as listed in ] (18 May 187115 December 1950) was an
electrical engineer
Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems that use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the l ...
,
physicist
A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate cau ...
,
inventor
An invention is a unique or novel device, method, composition, idea, or process. An invention may be an improvement upon a machine, product, or process for increasing efficiency or lowering cost. It may also be an entirely new concept. If an ...
, and
polymath
A polymath or polyhistor is an individual whose knowledge spans many different subjects, known to draw on complex bodies of knowledge to solve specific problems. Polymaths often prefer a specific context in which to explain their knowledge, ...
known for proposing the standard notation for the
golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their summation, sum to the larger of the two quantities. Expressed algebraically, for quantities and with , is in a golden ratio to if
\fr ...
. Born in America, but with English citizenship, Barr lived in both London and New York City at different times of his life.
Though remembered primarily for his contributions to abstract mathematics, Barr put much of his efforts over the years into the design of machines, including calculating machines. He won a gold medal at the 1900 Paris
Exposition Universelle for an extremely accurate
engraving
Engraving is the practice of incising a design on a hard, usually flat surface by cutting grooves into it with a Burin (engraving), burin. The result may be a decorated object in itself, as when silver, gold, steel, or Glass engraving, glass ar ...
machine.
Life
Barr was born in
Pennsylvania
Pennsylvania, officially the Commonwealth of Pennsylvania, is a U.S. state, state spanning the Mid-Atlantic (United States), Mid-Atlantic, Northeastern United States, Northeastern, Appalachian, and Great Lakes region, Great Lakes regions o ...
, the son of Charles B. Barr and Ann M'Ginnis.
He was educated in London, then worked for the
Westinghouse Electric Company
Westinghouse Electric Company LLC is an American nuclear power company formed in 1999 from the nuclear power division of the original Westinghouse Electric Corporation. It offers nuclear products and services to utilities internationally, includ ...
in
Pittsburgh
Pittsburgh ( ) is a city in Allegheny County, Pennsylvania, United States, and its county seat. It is the List of municipalities in Pennsylvania#Municipalities, second-most populous city in Pennsylvania (after Philadelphia) and the List of Un ...
from 1887 to 1890. He started there as a draughtsman before becoming a laboratory assistant, and later an erection engineer. For two years in the early 1890s, he worked in
New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive w ...
at the journal ''Electrical World'' as an assistant editor, at the same time studying chemistry at the
New York City College of Technology
The New York City College of Technology (City Tech) is a public college in New York City. Founded in 1946, it is the City University of New York's college of technology. Its main urban campus is located in Downtown Brooklyn.
History
City Tech ...
, and by 1900, he had worked with both
Nikola Tesla
Nikola Tesla (;["Tesla"](_blank)
. ''Random House Webster's Unabridged Dictionary''. ; 10 July 1856 – 7 ...
and
Mihajlo Pupin
Mihajlo Idvorski Pupin (, ; October 4, 1858Although Pupin's birth year is sometimes given as 1854 (and Serbia and Montenegro issued a postage stamp in 2004 to commemorate the 150th anniversary of his birth), peer-reviewed sources list his birth ...
in New York. However, he was known among acquaintances for his low opinion of
Thomas Edison
Thomas Alva Edison (February11, 1847October18, 1931) was an American inventor and businessman. He developed many devices in fields such as electric power generation, mass communication, sound recording, and motion pictures. These inventions, ...
. Returning to London in 1892, he studied physics and electrical engineering at the
City and Guilds of London Technical College for three years.
From 1896 to 1900, he worked for
Linotype in England, and from 1900 to 1904, he worked as a technical advisor to Trevor Williams in London.
Beginning in 1902, he was elected to the Small Screw Gauge Committee of the
British Association for the Advancement of Science
The British Science Association (BSA) is a Charitable organization, charity and learned society founded in 1831 to aid in the promotion and development of science. Until 2009 it was known as the British Association for the Advancement of Scienc ...
. The committee was set up to put into practice the system of
British Association screw threads
British Association screw threads, or BA screw threads, are a set of small screw threads, the largest being 0BA at 6 mm diameter. They were, and to some extent still are, used for miniature instruments and modelling.
They are unusual in that ...
, which had been settled on but not implemented in 1884. More broadly, it was tasked with considering "the whole question of standardisation of engineering materials, tools, and machinery".
In January 1916, Barr was given charge of a school for machinists in London, intended to supply workers to a nearby factory for
machine guns for the war effort; the school closed that June, as the factory was unable to take on the new workers at the expected rate.
In the early 1920s, Barr was a frequent visitor to
Alfred North Whitehead
Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He created the philosophical school known as process philosophy, which has been applied in a wide variety of disciplines, inclu ...
in Chelsea, London, but by 1924, he had moved back to New York.
Hamlin Garland
Hannibal Hamlin Garland (September 14, 1860 – March 4, 1940) was an American novelist, poet, essayist, short story writer, Georgist, and psychical researcher. He is best known for his fiction involving hard-working Midwestern farmers.
Biogr ...
writes that, "after thirty years in London", Barr returned to America "in order that his young sons might become citizens". Garland quotes Barr as saying that, for him, "to abandon America would be an act of treason".
In 1924,
Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
invited Whitehead to join its faculty, with the financial backing of
Henry Osborn Taylor
Henry Osborn Taylor (December 5, 1856 – April 13, 1941) was an American historian and legal scholar.
Career
Taylor graduated from Harvard University in 1878 and, later, from Columbia Law School. He later received honorary degrees from Harvard ...
. Barr, a friend of both Whitehead and Taylor, served as an intermediary in the preparations for this move.
Whitehead, in subsequent letters to his son
North
North is one of the four compass points or cardinal directions. It is the opposite of south and is perpendicular to east and west. ''North'' is a noun, adjective, or adverb indicating Direction (geometry), direction or geography.
Etymology
T ...
in 1924 and 1925, writes of Barr's struggles to sell the design for one of his calculating machines to an unnamed large American company. In the 1925 letter, Whitehead writes that Barr's son Stephen was staying with him while Barr and his wife Mabel visited
Elyria, Ohio
Elyria ( ) is a city in Lorain County, Ohio, United States, and its county seat. It is located at the forks of the Black River (Ohio), Black River in Northeast Ohio, southwest of Cleveland. The population was 52,656 at the 2020 United States cens ...
, to oversee a test build of the device. However, by 1927, Barr and Whitehead had fallen out, Whitehead writing to North (amid much complaint about Barr's character) that he was "very doubtful whether he will keep his post at the business school here";
Barr was a "research assistant in finance" at
Harvard Business School
Harvard Business School (HBS) is the graduate school, graduate business school of Harvard University, a Private university, private Ivy League research university. Located in Allston, Massachusetts, HBS owns Harvard Business Publishing, which p ...
around this time.
Barr joined the
Century Association
The Century Association is a private social, arts, and dining club in New York City, founded in 1847. Its clubhouse is located at 7 West 43rd Street near Fifth Avenue in Midtown Manhattan. It is primarily a club for men and women with distinctio ...
in 1925, and in his later life it "became practically his home". He died in
The Bronx
The Bronx ( ) is the northernmost of the five Boroughs of New York City, boroughs of New York City, coextensive with Bronx County, in the U.S. state of New York (state), New York. It shares a land border with Westchester County, New York, West ...
in 1950.
Contributions
Machining
At Linotype, Barr improved punch-cutting machines by substituting ball bearings for oil lubrication to achieve a more precise fit, and using
tractrix
In geometry, a tractrix (; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by a line segment attached to a pulling point (the ''tractor'') that moves at a right angl ...
-shaped sleeves to distribute wear uniformly.
In an 1896 publication in ''The Electrical Review'' on calculating the dimensions of a
ball race
A ball is a round object (usually spherical, but sometimes ovoid) with several uses. It is used in ball games, where the play of the game follows the state of the ball as it is hit, kicked or thrown by players. Balls can also be used for sim ...
, Barr credits the bicycle industry for stimulating development of the perfectly spherical steel balls needed in this application.
The punch-cutters he worked on were, essentially,
pantograph
A pantograph (, from their original use for copying writing) is a Linkage (mechanical), mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical movements in a se ...
s that could engrave copies of given shapes (the outlines of letters or characters) as three-dimensional objects at a much smaller scale (the punches used to shape each letter in
hot metal typesetting
In printing and typography, hot metal typesetting (also called mechanical typesetting, hot lead typesetting, hot metal, and hot type) is a technology for typesetting text in letterpress printing. This method injects molten type metal into a mo ...
).
Between 1900 and 1902, with Linotype managers
Arthur Pollen
Arthur Joseph Hungerford Pollen (13 September 1866 – 28 January 1937) was an English journalist, businessman, and commentator on naval affairs who devised a new computerised fire-control system for use on battleships prior to the First World W ...
and William Henry Lock, Barr also designed pantographs operating on a very different scale, calculating aim for
naval artillery
Naval artillery is artillery mounted on a warship, originally used only for naval warfare and then subsequently used for more specialized roles in surface warfare such as naval gunfire support (NGFS) and anti-aircraft warfare (AAW) engagements. ...
based on the positions, headings, and speeds of the firing ship and its target.
Golden ratio

Barr was a friend of
William Schooling Sir William Schooling (16 December 1860 – 18 February 1936) was a British expert on insurance and statistics. He was named a CBE in the 1918 Birthday Honours and a KBE in 1920 for his work with the National Savings Movement, War Savings Committee ...
, and worked with him in exploiting the properties of the golden ratio to develop arithmetic
algorithm
In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algo ...
s suitable for mechanical calculators.
According to
Theodore Andrea Cook
Sir Theodore Andrea Cook (28 March 1867 – 16 September 1928) was a British art critic and writer.
Sporting activities
Theodore Cook spent his early years in Wantage after his father, Henry Cook, became the headmaster of King Alfred's Sch ...
, Barr gave the
golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their summation, sum to the larger of the two quantities. Expressed algebraically, for quantities and with , is in a golden ratio to if
\fr ...
the name of
phi
Phi ( ; uppercase Φ, lowercase φ or ϕ; ''pheî'' ; Modern Greek: ''fi'' ) is the twenty-first letter of the Greek alphabet.
In Archaic and Classical Greek (c. 9th to 4th century BC), it represented an aspirated voiceless bilabial plos ...
(Φ). Cook wrote that Barr chose Φ by analogy to the use of for the
ratio of a circle's circumference to its diameter, and because it is the first Greek letter in the name of the ancient sculptor
Phidias
Phidias or Pheidias (; , ''Pheidias''; ) was an Ancient Greek sculptor, painter, and architect, active in the 5th century BC. His Statue of Zeus at Olympia was one of the Seven Wonders of the Ancient World. Phidias also designed the statues of ...
. Although
Martin Gardner
Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing magic, scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writin ...
later wrote that Phidias was chosen because he was "believed to have used the golden proportion frequently in his sculpture", Barr himself denied this, writing in his paper "Parameters of beauty" that he doubted Phidias used the golden ratio. Schooling communicated some of his discoveries with Barr to Cook after seeing an article by Cook about
phyllotaxis
In botany, phyllotaxis () or phyllotaxy is the arrangement of leaf, leaves on a plant stem. Phyllotactic spirals form a distinctive class of patterns in nature.
Leaf arrangement
The basic leaf#Arrangement on the stem, arrangements of leaves ...
, the arrangement of leaves on a plant stem, which often approximates the golden ratio.
Schooling published his work with Barr later, in 1915, employing the same notation.
Barr also published a related work in ''
The Sketch
''The Sketch'' was a British illustrated weekly journal. It ran for 2,989 issues between 1 February 1893 and 17 June 1959. It was published by the Illustrated London News, Illustrated London News Company and was primarily a society magazine wit ...
'' in around 1913,
generalizing the Fibonacci numbers to higher-order recurrences.
Other inventions and discoveries
Around 1910, Barr built a lighting apparatus for painter
William Nicholson, using filters and
reflectors to mix different types of light to produce an "artificial reproduction of daylight".
In 1914, as an expert in electricity, he took part in an investigation of
psychic
A psychic is a person who claims to use powers rooted in parapsychology, such as extrasensory perception (ESP), to identify information hidden from the normal senses, particularly involving telepathy or clairvoyance; or who performs acts that a ...
phenomena involving Polish medium
Stanisława Tomczyk by the
Society for Psychical Research
The Society for Psychical Research (SPR) is a nonprofit organisation in the United Kingdom. Its stated purpose is to understand events and abilities commonly described as psychic or paranormal. It describes itself as the "first society to condu ...
; however, the results were inconclusive.
At some point prior to 1916, Barr was a participant in a business venture to make
synthetic rubber
A synthetic rubber is an artificial elastomer. They are polymers synthesized from petroleum byproducts. About of rubber is produced annually in the United States, and of that amount two thirds are synthetic. Synthetic rubber, just like natural ru ...
from
turpentine
Turpentine (which is also called spirit of turpentine, oil of turpentine, terebenthine, terebenthene, terebinthine and, colloquially, turps) is a fluid obtainable by the distillation of resin harvested from living trees, mainly pines. Principall ...
by a bacterial process. However, after much effort in relocating the bacterium after exhausting the original supply (a barrel of vinegar from New Jersey), the process ended up being less cost-effective than
natural rubber
Rubber, also called India rubber, latex, Amazonian rubber, ''caucho'', or ''caoutchouc'', as initially produced, consists of polymers of the organic compound isoprene, with minor impurities of other organic compounds.
Types of polyisoprene ...
, and the business failed.
With
Edward George Boulenger of the
London Zoo
London Zoo, previously known as ZSL London Zoo or London Zoological Gardens and sometimes called Regent's Park Zoo, is the world's oldest scientific zoo. It was opened in London on 27 April 1828 and was originally intended to be used as a colle ...
, he built a timer-operated electromechanical
rat trap
"Rat Trap" is a song by the Boomtown Rats, released in October 1978 as the third and final single from the band's second album '' A Tonic for the Troops''. It reached No. 1 on the UK Singles Chart for two weeks in November 1978, the first sing ...
.
In preparation for a diving expedition to Haiti by
William Beebe
Charles William Beebe ( ; July 29, 1877 – June 4, 1962) was an American natural history, naturalist, ornithologist, marine biologist, entomologist, explorer, and author. He is remembered for the numerous expeditions he conducted for the New Y ...
and the
New York Zoological Society
New or NEW may refer to:
Music
* New, singer of K-pop group The Boyz
* ''New'' (album), by Paul McCartney, 2013
** "New" (Paul McCartney song), 2013
* ''New'' (EP), by Regurgitator, 1995
* "New" (Daya song), 2017
* "New" (No Doubt song), 1 ...
in early 1927, in which he participated as "physicist, master electrician, and philosopher", Barr helped develop an underwater telephone allowing divers to talk to a support boat, and a brass underwater housing for a motion picture camera.
Selected publications
References
{{DEFAULTSORT:Barr, Mark
Golden ratio
1871 births
1950 deaths
Scientists from Pennsylvania
American electrical engineers
19th-century American inventors
20th-century American inventors
English electrical engineers
English inventors
Engineers from Pennsylvania