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. PrzytyckiConway type invariants of links and Kauffman's method by Jozef H. Przytycki Conway's base 13 function – a function used as a counterexample to the converse of the intermediate value theoremOman, 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 Conway chained arrow notation – a notation for expressing certain extremely large numbers Conway circle – a geometrical construction based on extending the sides of a triangle Conway criterion – a criterion for identifying prototiles that admit a periodic tilingWill It Tile? Try the Conway Criterion! by Doris Schattschneider Mathematics Magazine Vol. 53, No. 4 (Sep., 1980), pp. 224-233 Conway group – any of the groups Co0, Co1, Co2, or Co3Sphere packings, lattices, and groups (with Neil Sloane). Springer-Verlag, New York, Series: Grundlehren der mathematischen Wissenschaften, 290, Conway group Co1 – one of the sporadic simple groups discovered by Conway in 1968 Conway group Co2 – one of the sporadic simple groups discovered by Conway in 1968 Conway group Co3 – one of the sporadic simple groups discovered by Conway in 1968 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 Conway polyhedron notation – notation invented by Conway used to describe polyhedra Conway polynomial (finite fields) – an irreducible polynomial used in finite field theory Conway puzzle – a packing problem invented by Conway using rectangular blocks Conway sphere – a 2-sphere intersecting a given knot in the 3-sphere or 3-ball transversely in four points Conway triangle notation – notation which allows trigonometric functions of a triangle to be managed algebraicallyBibliography of John H. Conway Mathematics Department, Princeton University (2009) Conway's 99-graph problem – a problem invented by Conway asking if a certain undirected graph existsA question related to Conways 99 graph problem MathOverflow Conway sequence – a self-referential sequence in which each term describes the digits of the previous term Conway's constant – a constant used in the study of the Look-and-say sequenceConway, J.H. and Guy, R.K. "The Look and Say Sequence." In The Book of Numbers. New York: Springer-Verlag, pp. 208-209, 1996. Conway's dead fly problem – does there exist a Danzer set whose points are separated at a bounded distance from each other? Conway's Game of Life – a cellular automaton defined on the two-dimensional orthogonal grid of square cellsHarris, Michael (2015). Review of Genius At Play: The Curious Mind of John Horton Conway Nature, 23 July 2015 Conway's Soldiers – a one-person mathematical game resembling peg solitaireBerlekamp, 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. 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

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