21 citations · 121 across the 28 of their papers we have counts for
29 papers
Let's reinvent subtraction
Peter G. Doyle
Subtraction is a powerful technique for creating new bijections from old. Let's reinvent it! While we're at it, let's reinvent division as well.
Conway's drum quilts
Peter G. Doyle
A `transplantable pair' is a pair of glueing diagrams that can be used to create pairs of plane domains that are isospectral for the Laplace operator. We present a host of transpla…
A category for bijective combinatorics
Peter G. Doyle
The category of matchings between finite sets extends to the category of cobordisms of signed sets. A chain of cobordisms that starts and ends with unsigned sets A and B yields a m…
Frobenius's last proof
Peter G. Doyle
Around about 1917, Issai Schur rediscovered the Rogers-Ramanujan identities, and proved a system of polynomial identities that imply them. Schur wrote that Georg Frobenius (his for…
Conway's doughnuts
Peter Doyle, Shikhin Sethi
Morley's Theorem about angle trisectors can be viewed as the statement that a certain diagram `exists', meaning that triangles of prescribed shapes meet in a prescribed pattern. Th…
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…