Counters in Rows

"Music, mathematics, and chess are in vital respects dynamic acts of location. Symbolic counters are arranged in significant rows. Solutions, be they of a discord, of an algebraic equation, or of a positional impasse, are achieved by a regrouping, by a sequential reordering of individual units and unit-clusters (notes, integers, rooks or pawns)."

— George Steiner
   (See March 10, "Language Game.")
 



For example:

Model of the 21-point projective plane consisting of the 1- and 2- subsets of a 6-set

Click to enlarge.

Context:

Notes on Finite Geometry
(Section on 6-set structures)