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Charles Howard Hinton (1853 – 30 April 1907) was a British mathematician and writer of
science fiction Science fiction (sometimes shortened to Sci-Fi or SF) is a genre of speculative fiction which typically deals with imaginative and futuristic concepts such as advanced science and technology, space exploration, time travel, parallel uni ...
works titled ''Scientific Romances''. He was interested in
higher dimensions In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordi ...
, particularly the fourth dimension. He is known for coining the word " tesseract" and for his work on methods of visualising the geometry of higher dimensions.


Life

Hinton's father, James Hinton, was a surgeon and advocate of
polygamy Crimes Polygamy (from Late Greek (') "state of marriage to many spouses") is the practice of marrying multiple spouses. When a man is married to more than one wife at the same time, sociologists call this polygyny. When a woman is marr ...
. Charles Hinton was born in the United Kingdom. His siblings included the costume designer
Ada Nettleship Ada Nettleship (born Adaline Cort Hinton; 1856 – 19 December 1932) was a British dressmaker and costume designer known for working at the forefront of the Aesthetic dress style and the rational dress movement. Personal life Adaline Cort Hint ...
(1856 – 1932). Hinton taught at
Cheltenham College ("Work Conquers All") , established = , closed = , type = Public school Independent School Day and Boarding School , religion = Church of England , president = , head_label = Head , head = Nicola Hugget ...
while he studied at
Balliol College, Oxford Balliol College () is one of the constituent colleges of the University of Oxford in England. One of Oxford's oldest colleges, it was founded around 1263 by John I de Balliol, a landowner from Barnard Castle in County Durham, who provided the ...
, where he obtained his B.A. in 1877. From 1880 to 1886, he taught at Uppingham School in
Rutland Rutland () is a ceremonial county and unitary authority in the East Midlands, England. The county is bounded to the west and north by Leicestershire, to the northeast by Lincolnshire and the southeast by Northamptonshire. Its greatest len ...
, where Howard Candler, a friend of Edwin Abbott Abbott's, also taught. Hinton also received his M.A. from Oxford in 1886. In 1880 Hinton married Mary Ellen, daughter of
Mary Everest Boole Mary Everest Boole (11 March 1832 in Wickwar, Gloucestershire – 17 May 1916 in Middlesex, England) was a self-taught mathematician who is best known as an author of didactic works on mathematics, such as ''Philosophy and Fun of Algebra'', an ...
and George Boole, the founder of mathematical logic. The couple had four children: George (1882–1943), Eric (*1884), William (1886–1909) and Sebastian (1887–1923) (inventor of the
jungle gym A jungle gym (called a climbing frame in British English) is a piece of playground equipment made of many pieces of material, such as metal pipes or ropes, on which participants can climb, hang, sit, and—in some configurations—slide. Monkey ...
and father of
William William is a male given name of Germanic origin.Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 276. It became very popular in the English language after the Norman conquest of Engl ...
and Joan Hinton). In 1883 he went through a marriage ceremony with Maud Florence, by whom he had had twin children, under the assumed identity of John Weldon. He was subsequently convicted of
bigamy In cultures where monogamy is mandated, bigamy is the act of entering into a marriage with one person while still legally married to another. A legal or de facto separation of the couple does not alter their marital status as married persons. ...
and spent three days in prison, losing his job at Uppingham. His father James Hinton was a radical advocate of polygamous relationships, and according to Charles' mother James had once remarked to her: "Christ was the saviour of Men but I am the saviour of Women and I don't envy him a bit." In 1887 Charles moved with Mary Ellen to Japan to work in a mission before accepting a job as headmaster of the Victoria Public School. In 1893 he sailed to the United States on the SS ''Tacoma'' to take up a post at
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ...
as an instructor in mathematics. In 1897, he designed a gunpowder-powered baseball pitching machine for the Princeton baseball team's batting practice. The machine was versatile, capable of variable speeds with an adjustable breech size, and firing curve balls by the use of two rubber-coated steel fingers at the muzzle of the pitcher. He successfully introduced the machine to the
University of Minnesota The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public land-grant research university in the Twin Cities of Minneapolis and Saint Paul, Minnesota, United States. ...
, where Hinton worked as an assistant professor until 1900, when he resigned to move to the U.S. Naval Observatory in Washington, D.C. At the end of his life, Hinton worked as an examiner of chemical patents for the
United States Patent Office The United States Patent and Trademark Office (USPTO) is an agency in the U.S. Department of Commerce that serves as the national patent office and trademark registration authority for the United States. The USPTO's headquarters are in Alex ...
. At age 54, he died unexpectedly of a
cerebral hemorrhage Intracerebral hemorrhage (ICH), also known as cerebral bleed, intraparenchymal bleed, and hemorrhagic stroke, or haemorrhagic stroke, is a sudden bleeding into the tissues of the brain, into its ventricles, or into both. It is one kind of bleed ...
on 30 April 1907 in Washington, D.C. After Hinton's sudden death his wife, Mary Ellen, committed suicide, also in Washington, D.C., in May 1908.


Fourth dimension

In an 1880 article entitled " What is the Fourth Dimension?", Hinton suggested that points moving around in three dimensions might be imagined as successive cross-sections of a static four-dimensional arrangement of lines passing through a three-dimensional plane, an idea that anticipated the notion of
world line The world line (or worldline) of an object is the path that an object traces in 4-dimensional spacetime. It is an important concept in modern physics, and particularly theoretical physics. The concept of a "world line" is distinguished from c ...
s. Hinton's explorations of higher space had a moral basis:
Hinton argues that gaining an intuitive perception of higher space required that we rid ourselves of the ideas of right and left, up and down, that inheres in our position as observers in a three-dimensional world. Hinton calls the process "casting out the self", equates it with the process of sympathizing with another person, and implies the two processes are mutually reinforcing.
Hinton created several new words to describe elements in the fourth dimension. According to the OED, he first used the word '' tesseract'' in 1888 in his book ''
A New Era of Thought ''A New Era of Thought'' is a non-fiction work written by Charles Howard Hinton, published in 1888 and reprinted in 1900 by Swan Sonnenschein & Co. Ltd., London. ''A New Era of Thought'' is about the fourth dimension and its implications on human ...
''.
Alicia Boole Stott Alicia Boole Stott (8 June 1860 – 17 December 1940) was an Irish mathematician. Despite never holding an academic position, she made a number of valuable contributions to the field, receiving an honorary doctorate from the University of Gr ...
, his sister in law who knew him at Oxford supervised the publication of the book whilst he was abroad. He also invented the words ''kata'' (from the Greek for "down from") and ''ana'' (from the Greek for "up toward") to describe the additional two opposing fourth-dimensional directions (an additional 4th axis of motion analogous to left-right (x), up-down (y), and forwards-backwards (z)). Hinton's '' Scientific romances'', including "What is the Fourth Dimension?" and "A Plane World", were published as a series of nine pamphlets by Swan Sonnenschein & Co. during 1884–1886. In the introduction to "A Plane World", Hinton referred to Abbott's recent '' Flatland'' as having similar design but different intent. Abbott used the stories as "a setting wherein to place his satire and his lessons. But we wish in the first place to know the physical facts." Hinton's world existed along the perimeter of a circle rather than on an infinite flat plane. He extended the connection to Abbott's work with ''An Episode of Flatland: Or How a Plane Folk Discovered the Third Dimension'' (1907).


''An Episode of Flatland or How a Plane Folk Discovered the Third Dimension…'' (1907)

''An Episode of Flatland or How a Plane Folk Discovered the Third Dimension, to which is bound up An Outline of the History of Unæa'' made its public debut in 1907, even receiving a paragraph review (though not particularly flattering) in the British scientific journal ''
Nature Nature, in the broadest sense, is the physical world or universe. "Nature" can refer to the phenomena of the physical world, and also to life in general. The study of nature is a large, if not the only, part of science. Although humans are ...
'' (1907). The action plays out in the planar world of two-dimensional ''"Astria"'' with the primary characters partaking in various adventures, scientific and romantic. Ultimately, some ''"Astrians"'' come to accept and comprehend the reality and fullness of three-dimensions in a world beyond their immediate comprehension. The book consists of a ''Preface'', ''Introduction'', a post-introductory section titled ''The History of Astria'', and the ''Episode'' (referred to in the title) composed of twenty short chapters. Overall, it is longer than Edwin A. Abbott's novella ''Flatland…'' (1884); Hinton's narrative contains approximately 53,720 words. Hinton's work combines various literary and scientific features, with the author intent on popularizing the idea of ''"higher dimensions"'' among educated
Edwardian The Edwardian era or Edwardian period of British history spanned the reign of King Edward VII, 1901 to 1910 and is sometimes extended to the start of the First World War. The death of Queen Victoria in January 1901 marked the end of the Victori ...
readers including such diverse groups as religious thinkers and believers, experimental scientists, artists, stodgy academics, engineers, politicians, and others of various persuasions and agendas. Recognizing the existence of, and even reaching, a ''"higher
dimension In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coord ...
"'' was not simply part and parcel to a strictly mathematical game; for Charles H. Hinton (1907), during an era when
spiritualism Spiritualism is the metaphysical school of thought opposing physicalism and also is the category of all spiritual beliefs/views (in monism and dualism) from ancient to modern. In the long nineteenth century, Spiritualism (when not lowercase ...
(with the obligatory séances) was running rampant, it was important to point the way toward a higher realm of existence in both intellectual and genuinely spiritual terms.


Influence

Hinton's advocacy of the tesseract as a means to perceive higher dimensions spawned a long lineage of science fiction, fantasy, and spiritual works that similarly refer to the tesseract as a way to understand—or even access—higher dimensions, including Charles Leadbeater's ''Clairvoyance'' (1899),
Claude Bragdon Claude Fayette Bragdon (August 1, 1866 – 1946) was an American architect, writer, and stage designer based in Rochester, New York, up to World War I, then in New York City. The designer of Rochester’s New York Central Railroad terminal ...
's ''A Primer of Higher Space'' (1913),
Algernon Blackwood Algernon Henry Blackwood, CBE (14 March 1869 – 10 December 1951) was an English broadcasting narrator, journalist, novelist and short story writer, and among the most prolific ghost story writers in the history of the genre. The literary crit ...
's ''Victim of Higher Space'' (1914), H. P. Lovecraft's ''
The Shadow Out of Time ''The Shadow Out of Time'' is a novella by American horror fiction writer H. P. Lovecraft. Written between November 1934 and February 1935, it was first published in the June 1936 issue of ''Astounding Stories''. The story describes time and ...
'' (1935), Robert Heinlein's '' "—And He Built a Crooked House—"'' (1941),
Madeleine L'Engle Madeleine L'Engle DStJ (; November 29, 1918 – September 6, 2007) was an American writer of fiction, non-fiction, poetry, and young adult fiction, including '' A Wrinkle in Time'' and its sequels: ''A Wind in the Door'', ''A Swiftly Tilting Plan ...
's '' A Wrinkle in Time'' (1962), and Christopher Nolan's film '' Interstellar'' (2014).White, Christopher G., 2018. ''Other Worlds: Spirituality and the Search for Invisible Dimensions''. Harvard University Press. Hinton was one of the many thinkers who circulated in
Jorge Luis Borges Jorge Francisco Isidoro Luis Borges Acevedo (; ; 24 August 1899 – 14 June 1986) was an Argentine short-story writer, essayist, poet and translator, as well as a key figure in Spanish-language and international literature. His best-known b ...
's pantheon of writers. Hinton is mentioned in Borges' short stories " Tlön, Uqbar, Orbis Tertius", " There Are More Things" and "El milagro secreto" (" The Secret Miracle"): Hinton influenced
P. D. Ouspensky Pyotr Demianovich Ouspenskii (known in English as Peter D. Ouspensky; rus, Пётр Демья́нович Успе́нский, Pyotr Demyánovich Uspénskiy; 5 March 1878 – 2 October 1947) was a Russian esotericist known for his expositions ...
's thinking. Many of ideas Ouspensky presents in "Tertium Organum" mention Hinton's works. Hinton's "scientific romance", the "Unlearner", is cited by
John Dewey John Dewey (; October 20, 1859 – June 1, 1952) was an American philosopher, psychologist, and educational reformer whose ideas have been influential in education and social reform. He was one of the most prominent American scholars in the fi ...
in ''Art as Experience'', chapter 3. The story described by
John Dewey John Dewey (; October 20, 1859 – June 1, 1952) was an American philosopher, psychologist, and educational reformer whose ideas have been influential in education and social reform. He was one of the most prominent American scholars in the fi ...
is actually titled "An Unfinished Communication" and is part of the second series of "Scientific Romances". The Unlearner is a character in this story, which might explain why
John Dewey John Dewey (; October 20, 1859 – June 1, 1952) was an American philosopher, psychologist, and educational reformer whose ideas have been influential in education and social reform. He was one of the most prominent American scholars in the fi ...
confused the title of the story. Hinton is the main character in
Carlos Atanes Carlos Atanes (born November 8, 1971) is a Spanish film director, writer and playwright. He was born in Barcelona, and is a member of The Film-Makers' Cooperative, founded by Jonas Mekas, Shirley Clarke, Ken Jacobs, Andy Warhol, Jack Smith (fil ...
's play ''Un genio olvidado (Un rato en la vida de Charles Howard Hinton)'' ("A Forgotten Genius (The Life and Time of Charles Howard Hinton)"). The play premiered in Madrid during May 2015, and was published in May 2017. Hinton is mentioned several times in Alan Moore's graphic novel '' From Hell''; his theories regarding the fourth dimension form the basis of the book's final chapter. His father, James Hinton, appears in chapters 4 and 10. He is mentioned twice in Aleister Crowley's novel '' Moonchild''. The first mention mistakenly names his father, James Hinton.


Works

* an
2nd series at
Internet Archive The Internet Archive is an American digital library with the stated mission of "universal access to all knowledge". It provides free public access to collections of digitized materials, including websites, software applications/games, music, ...
*''
A New Era of Thought ''A New Era of Thought'' is a non-fiction work written by Charles Howard Hinton, published in 1888 and reprinted in 1900 by Swan Sonnenschein & Co. Ltd., London. ''A New Era of Thought'' is about the fourth dimension and its implications on human ...
'', orig. 1888, reprinted 1900, by Swan Sonnenschein & Co. Ltd., London *''The Fourth Dimension'', orig. 1904, 1912 by Ayer Co., Kessinger Press reprint, , a
Project Gutenberg
scanned version available online a
the Internet Archive
*''Speculations on the Fourth Dimension: Selected Writings of Charles H. Hinton'', edited by
Rudolf Rucker Rudolf von Bitter Rucker (; born March 22, 1946) is an American mathematician, computer scientist, science fiction author, and one of the founders of the cyberpunk literary movement. The author of both fiction and non-fiction, he is best known ...
, 1980, Dover Publications, (includes selections from ''Scientific Romances'', ''The Fourth Dimension'', "The Recognition of the Fourth Dimension" from the 1902 Bulletin of the
Philosophical Society of Washington Founded in 1871, the Philosophical Society of Washington is the oldest scientific society in Washington, D.C. It continues today as PSW Science. Since 1887, the Society has met regularly in the assembly hall of the Cosmos Club. In the Club's p ...
, and excerpts from ''An Episode of Flatland'') * ''An Episode of Flatland or How a Plane Folk Discovered the Third Dimension'' orig 1907, Swan Sonnenschein & Co. Limd., uncut illustrated HTML version online a
Forgotten Futures
* What is the Fourth Dimension? (1880)


See also

* Hinton's honeycomb * Hinton's polytope * Spissitude *
Alicia Boole Stott Alicia Boole Stott (8 June 1860 – 17 December 1940) was an Irish mathematician. Despite never holding an academic position, she made a number of valuable contributions to the field, receiving an honorary doctorate from the University of Gr ...


Notes


Further reading

* Illustrated cultural history, with links to primary sources and secondary literature.


External links

* *
Hinton's writings at ibiblio.org
* * * *
Digitized works by Charles Howard Hinton
at Toronto Public Library {{DEFAULTSORT:Hinton, Charles Howard 1853 births 1907 deaths 19th-century British mathematicians 19th-century British novelists 20th-century British mathematicians Alumni of Balliol College, Oxford British people convicted of bigamy British science fiction writers British Theosophists People educated at Uppingham School Hinton family