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math.CO2023
Generalized Heawood Graphs and Triangulations of Tori
Cesar Ceballos, Joseph Doolittle
The Heawood graph is a remarkable graph that played a fundamental role in the development of the theory of graph colorings on surfaces in the 19th and 20th centuries. Based on perm…
math.CO2023
Fragmenting any Parallelepiped into a Signed Tiling
Joseph Doolittle, Alex McDonough
It is broadly known that any parallelepiped tiles space by translating copies of itself along its edges. In earlier work relating to higher-dimensional sandpile groups, the second…