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.