Symmetric colorings of polypolyhedra

@article{belcastro2015SymmetricCO,
  title={Symmetric colorings of polypolyhedra},
  author={sarah-marie belcastro and Thomas C. Hull},
  journal={arXiv: Metric Geometry},
  year={2015}
}
Polypolyhedra (after R. Lang) are compounds of edge-transitive 1-skeleta. There are 54 topologically different polypolyhedra, and each has icosidodecahedral, cuboctahedral, or tetrahedral symmetry, all are realizable as modular origami models with one module per skeleton edge. Consider a coloring in which each edge of a given component receives a different color, and where the coloring (up to global color permutation) is invariant under the polypolyhedron's symmetry group. On the Five… 

References

belcastro: MathILy and Smith College, MA, USA E-mail address: smbelcas@toroidalsnark.net Hull: Department of Mathematics, Western New England U., Springfield MA, USA E-mail address: thull@wne.edu
  • 2002