Particle Configurations and Coxeter Operads
  There exist natural generalizations of the real moduli space of Riemann spheres based on manipulations of Coxeter complexes. These novel spaces inherit a tiling by the graph-associahedra convex polytopes. We obtain explicit configuration space models for the classical infinite families of finite and affine Weyl groups using particles on lines and circles. A Fulton-MacPherson compactification of these spaces is described and this is used to define the Coxeter operad. A complete classification of the building sets of these complexes is also given, along with a computation of their Euler characteristics. 
Suzanne M. Armstrong, Michael Carr, Satyan L. Devadoss, Eric Engler,   Ananda Leininger, Michael Manapat