3 papers
math.MG2016
Minimal tilings of a unit square
Iwan Praton
Tile the unit square with small squares. We determine the minimum of the sum of the side lengths of the small squares, where the minimum is taken over all tilings of the un…
math.MG2011
Tiling a unit square with 8 squares
Iwan Praton
Put n nonoverlapping squares inside the unit square. Let f(n) and g(n) denote the maximum values of the sum of the edge lengths of the n small squares, where in the case of f(n) th…
math.MG2005
The Erdos and Campbell-Staton conjectures about square packing
Iwan Praton
Put n open non-overlapping squares inside a unit square, and let f(n) denote the maximum possible value of the sum of the side lengths of the n squares. Campbell and Staton, buildi…