75 citations · 134 across the 7 of their papers we have counts for
7 papers
Geometry and the Imagination in Minneapolis
John H. Conway, Peter G. Doyle, Jane Gilman +1
This document consists of the collection of handouts for a two-week summer workshop entitled 'Geometry and the Imagination', led by John Conway, Peter Doyle, Jane Gilman and Bill T…
Galois groups over function fields of positive characteristic
John Conway, John McKay, Allan Trojan
We describe examples motivated by the work of Serre and Abhyankar.
The D_4 root system is not universally optimal
Henry Cohn, John H. Conway, Noam D. Elkies +1
We prove that the D_4 root system (equivalently, the set of vertices of the regular 24-cell) is not a universally optimal spherical code. We further conjecture that there is no uni…
Division by three
Peter G. Doyle, John Horton Conway
We prove without appeal to the Axiom of Choice that for any sets A and B, if there is a one-to-one correspondence between 3 cross A and 3 cross B then there is a one-to-one corresp…
Packing Lines, Planes, etc.: Packings in Grassmannian Space
J. H. Conway, R. H. Hardin, N. J. A. Sloane
This paper addresses the question: how should N n-dimensional subspaces of m-dimensional Euclidean space be arranged so that they are as far apart as possible? The results of exten…
On the Existence of Similar Sublattices
J. H. Conway, E. M. Rains, N. J. A. Sloane
Partial answers are given to two questions. When does a lattice Lambda contain a sublattice Lambda' of index N that is geometrically similar to Lambda? When is the sublattice "clea…