51 citations · 301 across the 17 of their papers we have counts for
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math.MG2017★ 6 cited
Improved upper bounds in the moving sofa problem
Yoav Kallus, Dan Romik
The moving sofa problem, posed by L. Moser in 1966, asks for the planar shape of maximal area that can move around a right-angled corner in a hallway of unit width. It is known tha…
math.MG2017
Locally optimal 2-periodic sphere packings
Alexei Andreanov, Yoav Kallus
The sphere packing problem is an old puzzle. We consider packings with m spheres in the unit cell (m-periodic packings). For the case m = 1 (lattice packings), Voronoi proved there…