How to draw tropical planes

From CRCG-Wiki

The tropical Grassmannian parameterizes tropicalizations of linear spaces, while the Dressian parameterizes all planes in n-1-dimensional tropical projective space. We study these parameter spaces and we compute them explicitly for n less than or equal to 7. Planes are identified with matroid subdivisions and with arrangements of trees. These representations are used to draw pictures.

This is joint work with Sven Herrmann, Michael Joswig and Bernd Sturmfels.