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's 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 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 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]