3 papers
physics.hist-ph2024
Joseph Wolstenholme and the Trigonometry of Tetrahedra
Daniil Rudenko
We describe the results in the trigonometry of tetrahedra obtained by Joseph Wolstenholme in the last few years of his life. 'The late Professor Wolstenholme, M.A., Sc.D., shortly…
math.AG2022
Cluster Polylogarithms I: Quadrangular Polylogarithms
Andrei Matveiakin, Daniil Rudenko
We suggest a definition of cluster polylogarithms on an arbitrary cluster variety and classify them in type . We find functional equations for multiple polylogarithms which gene…
math.CO2012
On equidissection of balanced polygons
Daniil Rudenko
In this paper we show that a lattice balanced polygon of odd area cannot be cut into an odd number of triangles of equal areas. First result of this type was obtained by Paul Monsk…