  We describe a canonical compactification of a polyhedral complex in Euclidean
space. When the recession cones of the polyhedral complex form a fan, the
compactified polyhedral complex is a subspace of a tropical toric variety. In
this case, the procedure is analogous to the tropical compactifications of
subvarieties of tori.
  We give an analysis of the combinatorial structure of the compactification
and show that its Hasse diagram can be computed via Ganter's algorithm. Our
algorithm is implemented in and shipped with polymake.
