Hex was partially invented by the mathematician of what European nationality?
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Hex (board game) Hex is a strategy board game for two players played on a hexagonal grid, theoretically of any size and several possible shapes, but traditionally as an 11×11 rhombus. Players alternate placing markers or stones (Go stones make ideal playing pieces) on unoccupied spaces in an attempt to link their opposite sides of the board in an unbroken chain. One player must win; there are no draws. The game has deep strategy, sharp tactics and a profound mathematical underpinning related to the Brouwer fixed-point theorem. It was invented in the 1940s independently by two mathematicians, Piet Hein and John Nash. The game was first marketed as a board game in Denmark under the name Con-tac-tix, and Parker Brothers marketed a version of it in 1952 called Hex; they are no longer in production. Hex can also be played with paper and pencil on hexagonally ruled graph paper.
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Piet Hein (scientist) Piet Hein (16 December 1905 – 17 April 1996) was a Danish mathematician, inventor, designer, author, and poet, often writing under the Old Norse pseudonym "Kumbel" meaning "tombstone". His short poems, known as "gruks" or grooks (Danish: "gruk"), first started to appear in the daily newspaper ""Politiken"" shortly after the Nazi occupation in April 1940 under the pseudonym "Kumbel Kumbell".
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Carl Friedrich Gauss Johann Carl Friedrich Gauss ( ; German: "Gauß" , ] ; Latin: "Carolus Fridericus Gauss" ) (30 April 177723 February 1855) was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, magnetic fields, astronomy, matrix theory, and optics.
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Roger Maddux Roger Maddux (born 1948) is an American mathematician specializing in algebraic logic.
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Jacques Dixmier Jacques Dixmier (born 1924) is a French mathematician. He worked on operator algebras, especially C*-algebras, and wrote several of the standard reference books on them, and introduced the Dixmier trace and the Dixmier mapping.
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Émile Léonard Mathieu Émile Léonard Mathieu (] ; 15 May 1835, Metz – 19 October 1890, Nancy) was a French mathematician. He is most famous for his work in group theory and mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical physics in 6 volumes.
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Georg Mohr Jørgen Mohr (Latinised "Georg(ius) Mohr"; 1 April 1640 – 26 January 1697) was a Danish mathematician, known for being the first to prove the Mohr–Mascheroni theorem, which states that any geometric construction which can be done with compass and straightedge can also be done with compasses alone.
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John Leech (mathematician) John Leech (21 July 1926 in Weybridge, Surrey – 28 September 1992 in Scotland) was a British mathematician working in number theory, geometry and combinatorial group theory. He is best known for his discovery of the Leech lattice in 1965. He also discovered Ta(3) in 1957. Leech was married to Jenifer Haselgrove, a British radio scientist.
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Daniel Bernoulli Daniel Bernoulli FRS ( ; ] ; 8 February 1700 – 17 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family. He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics, and for his pioneering work in probability and statistics. His name is commemorated in the Bernoulli's principle, a particular example of the conservation of energy, which describes the mathematics of the mechanism underlying the operation of two important technologies of the 20th century: the carburetor and the airplane wing.
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Sophus Lie Marius Sophus Lie ( ; ] ; 17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations.
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Émile Borel Félix Édouard Justin Émile Borel (] ; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability.
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Wilhelm Ackermann Wilhelm Friedrich Ackermann (29 March 1896 – 24 December 1962) was a German mathematician best known for the Ackermann function, an important example in the theory of computation.
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John Wallis John Wallis ( ; 3 December 1616 – 8 November 1703) was an English mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court. He is credited with introducing the symbol ∞ for infinity. He similarly used 1/∞ for an infinitesimal.
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Johann Heinrich Lambert Johann Heinrich Lambert (] , "Jean-Henri Lambert" in French; 26 August 1728 – 25 September 1777) was a Swiss polymath who made important contributions to the subjects of mathematics, physics (particularly optics), philosophy, astronomy and map projections.
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Henri Fehr Henri Fehr (Zurich, 2 February 1870 – 1954) was a Swiss mathematician. He was the founder of the Foundation for the Advancement of Mathematical Sciences, of the journal "Commentarii Mathematici Helvetici" and of the journal "L'Enseignement Mathématique" along with Charles-Ange Laisant. Fehr's interests in mathematics were scientific and social as is demonstrated by his involvement in academic life, committees for the improvement of mathematical instruction, education of teachers and internationalization of mathematics.
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Farkas Bolyai Farkas Bolyai (] ; 9 February 1775 – 20 November 1856; also known as Wolfgang Bolyai in Germany) was a Hungarian mathematician, mainly known for his work in geometry.
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Ehrenfried Walther von Tschirnhaus Ehrenfried Walther von Tschirnhaus (or Tschirnhausen, ] ; 10 April 1651 – 11 October 1708) was a German mathematician, physicist, physician, and philosopher. He introduced the Tschirnhaus transformation and is considered by some to have been the inventor of European porcelain, an invention long accredited to Johann Friedrich Böttger but others claim porcelain had been made by English manufacturers at an even earlier date.
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Giuseppe Peano Giuseppe Peano (] ; 27 August 1858 – 20 April 1932) was an Italian mathematician. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin.
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Joachim von zur Gathen Joachim von zur Gathen (born 1950) is a German mathematician and computer scientist. His research spans several areas in mathematics and computer science, including computational complexity, cryptography, finite fields, and computer algebra.
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Albert Girard Albert Girard (] ) (1595 in Saint-Mihiel, France − 8 December 1632 in Leiden) was a French-born mathematician. He studied at the University of Leiden. He "had early thoughts on the fundamental theorem of algebra" and gave the inductive definition for the Fibonacci numbers.
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Charles Babbage Charles Babbage {'1': ", '2': ", '3': ", '4': "} ( ; 26 December 1791 – 18 October 1871) was an English polymath. A mathematician, philosopher, inventor and mechanical engineer, Babbage originated the concept of a digital programmable computer.
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Contributions of Leonhard Euler to mathematics The 18th-century Swiss mathematician Leonhard Euler (1707–1783) is among the most prolific and successful mathematicians in the history of the field. His seminal work had a profound impact in numerous areas of mathematics and he is widely credited for introducing and popularizing modern notation and terminology.