On generating a diminimal set of polyhedral maps on the torus

Mathematics – Combinatorics

Scientific paper

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Scientific paper

We develop a method to find a set of diminimal polyhedral maps on the torus
from which all other polyhedral maps on the torus may be generated by face
splitting and vertex splitting. We employ this method, though not to its
completion, to find 53 diminimal polyhedral maps on the Torus.

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