List of things named after John Horton Conway explained

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
• 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 algebraically^[7]
• Conway's 99-graph problem – a problem invented by Conway asking if a certain undirected graph exists^[8]
• Conway's constant – a constant used in the study of the Look-and-say sequence^[9]
• 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 cells^[10]
• Conway's Soldiers – a one-person mathematical game resembling peg solitaire^[11]
• 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

Notes and References

1. https://www.researchgate.net/publication/230815149_Conway_type_invariants_of_links_and_Kauffman's_method Conway type invariants of links and Kauffman's method
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. News: Large Numbers, Part 2: Graham and Conway – Greatplay.net. https://archive.today/20130625000516/http://www.greatplay.net/essays/large-numbers-part-ii-graham-and-conway. dead. 2013-06-25. 2013-06-25. archive.is. 2018-02-18.
4. Web site: John Horton Conway. www.cardcolm.org. 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,
7. http://www.math.princeton.edu/WebCV/ConwayBIB.pdf Bibliography of John H. Conway
8. https://mathoverflow.net/q/162583 A question related to Conways 99 graph problem
9. 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.
10. [Michael Harris (mathematician)|Harris, Michael]
11. 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.