How to Draw Tropical Planes
arXiv:0808.2383
Abstract
The tropical Grassmannian parameterizes tropicalizations of linear spaces, while the Dressian parameterizes all planes in $\TP^{n-1}$. We study these parameter spaces and we compute them explicitly for $n \leq 7$. Planes are identified with matroid subdivisions and with arrangements of trees. These representations are used to draw pictures.
22 pages, 10 figures; correction of the definition of an 'abstract tree arrangement' on page 10