30 citations · 30 across the 8 of their papers we have counts for
5 papers · 1 filter
The Missing Zigzag: Cycles of Semitone Trichords and a Conservation Law in Equal Temperament
David Victor Feldman
A cycle of nine pitch classes in twelve-tone equal temperament can be arranged so that its nine consecutive three-note windows realize, exactly once each, every trichord type conta…
A Note on Compactness and Clique Size
David V. Feldman, Alexander Wilce
Say that a topological space has finite, respectively bounded, cliques iff every closed, irreflexive binary relation --- equivalently, every closed, loop-free directed graph --…
Maximal Filters in the Lattice of Partitions of an Infinite Set
David Victor Feldman, Alexander Wilce
We study maximal (proper) filters in the complete lattice of partitions of an infinite set~. In the language of uniform spaces, these are precisely the atoms of the lattice of z…
Qualitative convexity and universal cross-sections
David Victor Feldman
We study a family of questions in convexity in which \emph{size does not matter}: one records a convex cross-section only up to translation and scaling, so that the data attached t…
Arranging convex bodies for maximum intersection volume: the sharp efficiency of centroid alignment
David Victor Feldman
Given finitely many compact convex bodies in , one seeks translates maximizing the volume of their common intersection. A lazy solver merely translates each body so as to pla…