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Icosian game information


Modern reconstruction of Hamilton's icosian game, on display at the Institute of Mathematics and Statistics, University of São Paulo

The icosian game is a mathematical game invented in 1856 by Irish mathematician William Rowan Hamilton. It involves finding a Hamiltonian cycle on a dodecahedron, a cycle using edges of the dodecahedron that passes through all its vertices. Hamilton sold his work to a game manufacturing company, but it was not commercially successful. Although Hamilton was not the first to study Hamiltonian cycles, his work on this game became the origin of the name of Hamiltonian cycles.

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Icosian game

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The icosian game is a mathematical game invented in 1856 by Irish mathematician William Rowan Hamilton. It involves finding a Hamiltonian cycle on a dodecahedron...

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The icosian calculus is a non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856. In modern terms, he...

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and cycles are named after William Rowan Hamilton, who invented the icosian game, now also known as Hamilton's puzzle, which involves finding a Hamiltonian...

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Regular dodecahedron

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this name derives from a mathematical game invented in 1857 by William Rowan Hamilton, the icosian game. The game's object was to find a Hamiltonian cycle...

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Jaques of London

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in 1857, 1860, and 1864. Happy Families – popular card game, developed in 1851. Icosian game – a mathematical puzzle involving cycles on a dodecahedron...

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William Rowan Hamilton

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intervals, in the Philosophical Magazine. Hamilton also introduced the icosian game or Hamilton's puzzle. It is based on the concept of a Hamiltonian path...

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Travelling salesman problem

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Hamilton and by the British mathematician Thomas Kirkman. Hamilton's icosian game was a recreational puzzle based on finding a Hamiltonian cycle. The general...

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Space Harmony

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Seven Bridges of Königsberg, as well as William Rowan Hamilton and his Icosian game. Choreutic scales present symmetric solutions to these types of puzzles...

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Alexander Stewart Herschel

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graph, is named after Herschel due to his pioneering work on Hamilton's Icosian game. The second son and fifth child of Sir John and Lady Margaret Herschel's...

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1857 in science

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aside for preservation in England. William Rowan Hamilton invents the Icosian game. March 12 – Elizabeth Blackwell opens the New York Infirmary for Indigent...

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List of Martin Gardner Mathematical Games columns

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red-haired typists 1957 May About the remarkable similarity between the Icosian Game and the Tower of Hanoi 1957 Jun Curious figures descended from the Möbius...

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Thomas Kirkman

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Hamiltonian cycle, prior to the work of William Rowan Hamilton on the Icosian game. He enumerated cubic Halin graphs, over a century before the work of...

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Herschel graph

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place of the dodecahedron to give a game that has no solution. Herschel's paper described solutions for the Icosian game only on the graphs of the regular...

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In Pursuit of the Traveling Salesman

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Euler's work on the Seven Bridges of Königsberg, William Rowan Hamilton's Icosian game, and Julia Robinson first naming the problem in 1949. Another chapter...

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John Horton Conway

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quaternions and octonions. Together with Neil Sloane, he invented the icosians. He invented a base 13 function as a counterexample to the converse of...

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Timeline of Irish inventions and discoveries

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Baron Kelvin. 1851: Binaural stethoscope created by Arthur Leared. 1856: Icosian calculus discovered by Sir William Rowan Hamilton. 1859: Greenhouse Effect...

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Matemateca

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Wheels Galton's Board The Olympic Revenge Game The Monigsberg Bridges Three-Dimensional Old Woman's Game Icosian What's in the Rattles? Non-transitive Dice...

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8

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constructed using the octonions as well as with three copies of the ring of icosians that are isomorphic to the E 8 {\displaystyle \mathrm {E} _{8}} lattice...

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Quaternion

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regular 600 cell with Schläfli symbol {3,3,5} can be taken as the unit icosians, corresponding to the double cover of the rotational symmetry group of...

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