3 citations · 6 across the 5 of their papers we have counts for
5 papers · 1 filter
Frieze patterns of integers
Karin Baur
The famous theorem of Conway and Coxeter on frieze patterns gave a geometric interpretation to integral friezes via triangulations of polygons. In this article, we review this resu…
Transformed flips in triangulations and matchings
Oswin Aichholzer, Lukas Andritsch, Karin Baur +1
Plane perfect matchings of points in convex position are in bijection with triangulations of convex polygons of size . Edge flips are a classic operation to perform local…
A generalised Euler-Poincaré formula for associahedra
Karin Baur, Paul P. Martin
We derive a formula for the number of flip-equivalence classes of tilings of an -gon by collections of tiles of shape dictated by an integer partition . The proof uses the Eu…
Infinite friezes
Karin Baur, Mark James Parsons, Manuela Tschabold
We provide a characterization of infinite frieze patterns of positive integers via triangulations of an infinite strip in the plane. In the periodic case, these triangulations may…
Compactifying Exchange Graphs I: Annuli and Tubes
Karin Baur, Grégoire Dupont
We introduce the notion of an \emph{asymptotic triangulation} of the annulus. We show that asymptotic triangulations can be mutated as the usual triangulations and describe their e…