How to Draw Tropical Planes
Sven C. Herrmann, Anders Jensen, Michael Joswig, Bernd Sturmfels · The Electronic Journal of Combinatorics · 2009
The tropical Grassmannian parameterizes tropicalizations of ordinary linear spaces, while the Dressian parameterizes all tropical linear spaces in ${\Bbb T}{\Bbb P}^{n-1}$. 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 then used to draw pictures.