This page complements the paper: Sven Herrmann, Michael Joswig, and David Speyer: Dressians, Tropical Grassmannians, and Their Rays, 2012.

The Dressian Dr(3,8) has f-vector:

(1; 15,470; 642,677;
8,892,898; 57,394,505; 194,258,750; 353,149,650; 324,404,880;
117,594,645; 113,400).

Modulo the natural Sym(8)-symmetry, the
f-vector reads:

(1; 12; 155; 1,149; 5,013; 12,737; 18,802;
14,727; 4,788; 14).

For a detailed description and discussion
we refer to the aforementioned paper; this page lists some of the data
derived from our computation.

All data is provided in xml format and the files can be read directly
(using the `load_data` command) with the software
system `polymake`, which
we also used for the computations.

Here you find a list with all rays of the Dressian Dr(3,8). The
file contains a `Matrix<Int>` object whose columns give
coordinates for the rays:

all rays

For all cones starting from dimension two, we give one cone per
orbit and additionally the size of the orbit. A cone is represented by
the indices of its rays and the indices refer to the rows of the ray
matrix above. Each file contains one object of
type `Array<Pair<Set,Int>>` mapping each cone to
its orbit size:

dimension 2

dimension 3

dimension 4

dimension 5

dimension 6

dimension 7

dimension 8

dimension 9

If you have any questions regarding the data, please contact Sven Herrmann.