5 citations · 10 across the 3 of their papers we have counts for
3 papers
math.MG2013★ 2 cited
Perimeter-minimizing Tilings by Convex and Non-convex Pentagons
Whan Ghang, Zane Martin, Steven Waruhiu
We study the presumably unnecessary convexity hypothesis in the theorem of Chung et al. [CFS] on perimeter-minimizing planar tilings by convex pentagons. We prove that the theorem…
math.MG2013★ 3 cited
Surface-area-minimizing n-hedral Tiles
Whan Ghang, Zane Martin, Steven Waruhiu
We provide a list of conjectured surface-area-minimizing n-hedral tiles of space for n from 4 to 14, previously known only for n equal to 5 or 6. We find the optimal "orientation-p…
math.FA2012★ 5 cited
The Sharp Log-Sobolev Inequality on a Compact Interval
Whan Ghang, Zane Martin, Steven Waruhiu
We provide a proof of the sharp log-Sobolev inequality on a compact interval.