Mathematical Discoveries and Theorems by John Horton Conway

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This is a list of Mathematical Discoveries and Theorems 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]