Summary
Geometric combinatorics deals with the study of geometric objects through their combinatorial structure. Some geometric objects that are of interest are known as polytopes. H.S.M. Coxeter wrote that “a polytope is a geometrical figure bounded by portions of lines, planes, or hyperplanes; e.g., in two dimensions it is a polygon, in three a polyhedron”. Arguably, the foundations for the study of polytopes were laid by the Greeks over two millennia ago, as many can recall their study of what are regarded as Platonic solids. In the 1700’s the study of polytopes heightened with Leonhard Euler’s pol
