  Pulli Kolam is an ancient mathematical artform that is still practiced today
in south India by over a quarter million people. "Pulli" in the Tamil language
means dots. A specific type of pulli kolam is "sikku" kolam where a series of
dots are placed using rice flour and lines are drawn around them with three
simple rules: all dots are individually encircled, line crossings are discrete
points, and there are no loose ends in the lines drawn. A topological approach
to viewing a kolam was presented earlier [arXiv:1503.02130] where a kolam could
be broken up into pieces (tiles) of a puzzle and then assembled together
following the above rules. Here we focus on sikku kolams assembled from square
tiles. Kolams are classified by their point group symmetry, and formulae are
derived for counting the number of kolams in each symmetry type. Some
interesting constraint problems are posed that could help formulate new games
based on this elegant artform.
