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{\bf Sven Herrmann, Anders Jensen, Michael Joswig and Bernd Sturmfels}
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{\bf How to Draw Tropical Planes}
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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.

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