John Horton Conway

English mathematician (1937–2020)

two-dimensional cellular automaton devised by J. H. Conway in 1970

a totally ordered proper class containing the real numbers as well as hyperreal numbers such as infinity and infinitesimals.

integer sequence

Paper and pencil game

way of calculating the day of the week of a given date

means of expressing certain extremely large numbers

connection between representation theory of the monster group and the modular j-invariant

knot invariant

notation used to describe polyhedra based on a seed polyhedron modified by various operations

geometrical construction based on extending the sides of a triangle

thumb|A game of phutball after five men have been placed (the ball has yet to move)

packing problem about packing thirteen 1×2×4 blocks, one 2×2×2 block, one 1×2×2 block and three 1×1×3 blocks into a 5×5×5 box

prime knot with 11 crossings named for John Horton Conway

game-theoretic game on an endless chessboard: a devil hinders an angel’s movement, and the angel tries to escape; each turn the angel jumps ≤k squares, and the devil adds a block on an empty square

three sporadic simple groups that occur as stabilizers of certain structures on the Leech lattice

mathematical puzzle by John Conway

thumb|A starting setup for the game of Hackenbush Hackenbush is a two-player game invented by mathematician John Horton Conway. It may be played on any configuration of line segments connected to one another by their endpoints and to a "ground" line. Other versions of the game use differently colored lines.

quantum physics theorem that, given relativitistic causality, quantized spin and entanglement, if 2 experimenters each having one of a pair of entanged particles can freely decide what to measure, the measured results aren’t determined by prior state

counterexample to the converse of the intermediate value theorem

method to quickly identify geometric figures capable of tessellation