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

1. Conway type invariants of links and Kauffman's method by Jozef H. Przytycki
2. 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
3. "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.
4. "John Horton Conway". www.cardcolm.org. Retrieved 2020-05-29.
5. Will It Tile? Try the Conway Criterion! by Doris Schattschneider Mathematics Magazine Vol. 53, No. 4 (Sep., 1980), pp. 224-233
6. Sphere packings, lattices, and groups (with Neil Sloane). Springer-Verlag, New York, Series: Grundlehren der mathematischen Wissenschaften, 290, ISBN 9780387966175
7. 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
8. Bibliography of John H. Conway Mathematics Department, Princeton University (2009)
9. Harris, Michael (2015). Review of Genius At Play: The Curious Mind of John Horton Conway Nature, 23 July 2015
10. A question related to Conways 99 graph problem MathOverflow
11. 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.
12. 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
13. 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.