We show how to color the tiles in a heirarchical tiling system so that the resulting system is not only repetitive (i.e., has the local isomorphism property) but has prescribed col...
Monotone path polytopes arise as a special case of the construction of fiber polytopes, introduced by Billera and Sturmfels. A simple example is provided by the permutahedron, whic...
Westudycomplexhyperplanearrangementswhoseintersectionlattices,known as the Dowling lattices, are a natural generalization of the partition lattice. We give a combinatorial descript...