3 papers
math.MG2026
All-angles bisection of polygon area
Robin Whitty
Given a simple polygon we aim to find the equation of the straight line which bisects the area of the polygon in a given direction. Additionally, we would like to vary this directi…
math.HO2021
Bisecting a triangle in a given direction
Robin Whitty
Given a triangle, what is the equation of the line which bisects its area and has a given slope? The set of all lines bisecting the area of a triangle has been elegantly determined…
math.CO2017
An Algorithmic Proof of the Piff--Welsh Theorem on Transversal Matroid Representations
Carrie Rutherford, Robin Whitty
A fundamental theorem of matroid theory establishes that a transversal matroid is representable over fields of any characteristic. It was proved in 1970 by Piff and Welsh: their pr…