3 papers
math.MG2017
Isoperimetry in Surfaces of Revolution with Density
Eliot Bongiovanni, Alejandro Diaz, Arjun Kakkar +1
The isoperimetric problem with a density or weighting seeks to enclose prescribed weighted volume with minimum weighted perimeter. According to Chambers' recent proof of the log-co…
math.MG2017
The Least-Area Tetrahedral Tile of Space
Eliot Bongiovanni, Alejandro Diaz, Arjun Kakkar +1
We determine the least-area unit-volume tetrahedral tile of Euclidean space, without the constraint of Gallagher et al. that the tiling uses only orientation-preserving images of t…
math.MG2017
Double Bubbles on the Real Line with Log-Convex Density
Eliot Bongiovanni, Leonardo Di Giosia, Alejandro Diaz +6
The classic double bubble theorem says that the least-perimeter way to enclose and separate two prescribed volumes in is the standard double bubble. We seek the opti…