3 papers
math.CO2025
MacMahon's Double Vision: Partition Diamonds Revisited
Matthias Beck, Kobe Wijesekera
Plane partition diamonds were introduced by Andrews, Paule, and Riese (2001) as part of their study of MacMahon's -operator in search for integer partition identities. More rece…
math.HO2025
Musical Chords by the Numbers
Matthias Beck, Emily Clader
The mathematics of musical intervals and scales has been extensively studied. Vastly simplified, our ears seem to prefer intervals whose frequency ratios have small numerator and d…
math.CO2024
Acyclotopes and Tocyclotopes
Eleon Bach, Matthias Beck, Sophie Rehberg
There is a well-established dictionary between zonotopes, hyperplane arrangements, and their (oriented) matroids. Arguably one of the most famous examples is the class of graphical…