What is this stick diagram?
This is a picture of the partially ordered set of special nilpotent
orbits for the rank 8 exceptional Lie algebra g. Whereas there are
70 nilpotent orbits in g, only 46 of these are special.
The "red dot" distinguishes the unique nilpotent orbit in g
with fundamental group the symmetric group of 5 letters.
This particular nilpotent orbit has
been referred to as "...the most complicated example in the
world..."