Lattice - Colegiul National C. Negruzzi (Iași - Roumanie)

In this article, we had to determine how many lines go through exactly two nodes of the given network, how many squares with peaks in network’s nodes can be built, togethr with a generalization to a similar n×n type of network and also to find out some probabilities to obtain squares or triangles, by randomly choosing 4 or 3 dots from the shown network.