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Gfan is a software package for computing Groebner fans and tropical varieties. \ 
These are polyhedral fans associated to polynomial 
ideals. The maximal cones of a Groebner fan are in bijection with the marked \ 
reduced Groebner bases of its defining ideal. The 
software computes all marked reduced Groebner bases of an ideal. Their union is \ 
a universal Groebner basis. The tropical variety of 
a polynomial ideal is a certain subcomplex of the Groebner fan. Gfan contains \ 
algorithms for computing this complex for general 
ideals and specialized algorithms for tropical curves, tropical hypersurfaces \ 
and tropical varieties of prime ideals. In addition to the 
above core functions the package contains many tools which are useful in the \ 
study of Groebner bases, initial ideals and tropical 
geometry. Among these are an interactive traversal program for Groebner fans and \ 
programs for graphical renderings.

For ordinary Groebner basis computations Gfan is not competitive in speed \ 
compared to programs such as CoCoA, Singular and 
Macaulay2.