Sanna Severinsson: Perfect squared squares
Time: Wed 2020-01-29 11.00 - 12.00
Location: Kräftriket, house 5, room 31
Participating: Sanna Severinsson:
Abstract
A perfect squared square is a tilling of a square by smaller squares, all having different sizes. To find such tillings an analogy with electrical networks is used. In particular one has to study Laplacians on graphs. Therefore some important definitions and theorems from graph theory and for electrical networks are introduced, illustrated by several examples. Different types of squared squares are discussed including problems in higher dimensions.