The material given there was written up as subset of the following book “Applied Combinatorics” https://wordpress.com/page/conceptsofshape.space/951 Which is the first of three ‘basic-subject battleships’ commissioned by the Institute for the Theory of STEM, alongside “Linear Mathematics” and “The Structure of Flat Geometry”.
In particular, the School studied the partitions, and the arena of partitions as a graph and an order. Many arenas of graphs on up to 5 vertices as higher-level graphs and orders. And posets and lattices, alongside arenas of posets and of lattices, both as graphs and as orders. Much of the arena-level work here is new research, doing what Smale and Kendall did for triangles and polygons, and others applied to the N-body problem context, now to the arenas of basic combinatorial objects.
Concepts of Shape 