List of things named after John Horton Conway
This is a list of things named after the English mathematician John Horton Conway (1937–2020).
- Conway algebra – an algebraic structure introduced by Paweł Traczyk and Józef H. Przytycki[1]
- Conway base 13 function – a function used as a counterexample to the converse of the intermediate value theorem[2]
- Conway chained arrow notation – a notation for expressing certain extremely large numbers[3]
- Conway circle – a geometrical construction based on extending the sides of a triangle[4]
- Conway criterion – a criterion for identifying prototiles that admit a periodic tiling[5]
- Conway group – any of the groups Co0, Co1, Co2, or Co3[6]
- Conway group Co1 – one of the sporadic simple groups discovered by Conway in 1968[6]
- Conway group Co2 – one of the sporadic simple groups discovered by Conway in 1968[6]
- Conway group Co3 – one of the sporadic simple groups discovered by Conway in 1968[6]
- Conway knot – a curious knot having the same Alexander polynomial and Conway polynomial as the unknot
- Conway notation (knot theory) – a notation invented by Conway for describing knots in knot theory[7]
- Conway polyhedron notation – notation invented by Conway used to describe polyhedra[8]
- Conway polynomial (finite fields) – an irreducible polynomial used in finite field theory[8]
- Conway puzzle – a packing problem invented by Conway using rectangular blocks[9]
- Conway sphere – a 2-sphere intersecting a given knot in the 3-sphere or 3-ball transversely in four points[7]
- Conway triangle notation – notation which allows trigonometric functions of a triangle to be managed algebraically[8]
- Conway's 99-graph problem – a problem invented by Conway asking if a certain undirected graph exists[10]
- Conway's constant – a constant used in the study of the Look-and-say sequence[11]
- Conway's dead fly problem – does there exist a Danzer set whose points are separated at a bounded distance from each other?[12]
- Conway's Game of Life – a cellular automaton defined on the two-dimensional orthogonal grid of square cells[9]
- Conway's Soldiers – a one-person mathematical game resembling peg solitaire[13]
- Conway's thrackle conjecture – In graph theory, the conjecture that no thrackle has more edges than vertices
- Alexander–Conway polynomial – a knot invariant which assigns a polynomial to each knot type in knot theory[7]
References
[edit]- ^ Conway type invariants of links and Kauffman's method by Jozef H. Przytycki
- ^ Oman, Greg (2014). "The Converse of the Intermediate Value Theorem: From Conway to Cantor to Cosets and Beyond" Missouri J. Math. Sci. 26 (2): 134–150
- ^ "Large Numbers, Part 2: Graham and Conway – Greatplay.net". archive.is. 2013-06-25. Archived from the original on 2013-06-25. Retrieved 2018-02-18.
- ^ "John Horton Conway". www.cardcolm.org. Retrieved 2020-05-29.
- ^ Will It Tile? Try the Conway Criterion! by Doris Schattschneider Mathematics Magazine Vol. 53, No. 4 (Sep., 1980), pp. 224-233
- ^ a b c d Sphere packings, lattices, and groups (with Neil Sloane). Springer-Verlag, New York, Series: Grundlehren der mathematischen Wissenschaften, 290, ISBN 9780387966175
- ^ a b c Conway, John Horton (1970), "An enumeration of knots and links, and some of their algebraic properties", Computational Problems in Abstract Algebra, Pergamon, pp. 329–358, ISBN 978-0080129754, OCLC 322649
- ^ a b c Bibliography of John H. Conway Mathematics Department, Princeton University (2009)
- ^ a b Harris, Michael (2015). Review of Genius At Play: The Curious Mind of John Horton Conway Nature, 23 July 2015
- ^ A question related to Conways 99 graph problem MathOverflow
- ^ Conway, J.H. and Guy, R.K. "The Look and Say Sequence." In The Book of Numbers. New York: Springer-Verlag, pp. 208-209, 1996.
- ^ Roberts, Siobhan (2015), Genius at Play: The Curious Mind of John Horton Conway, New York: Bloomsbury Press, p. 382, ISBN 978-1-62040-593-2, MR 3329687
- ^ Berlekamp, E.R.; Conway, J.H; and Guy, R.K. "The Solitaire Army." In Winning Ways for Your Mathematical Plays, Vol. 2: Academic Press, pp. 715-717 and 729, 1982.