I did some research relating to this area for:

[$5$ dimensional space over $\mathbb{R}$][1]

There isn't much to be found on the Internet other than at Wikipedia, except for:

[A FAMILY OF MARKED CUBIC SURFACES AND THE ROOT SYSTEM $D_5$][2], by Elisabetta Colombo and Bert Van Geemen

which is detailed but has no pictures.


  [1]: http://math.stackexchange.com/questions/1259887/5-dimensional-space-over-mathbbr
  [2]: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.236.8252