I don't know anything about graph theory and I was wondering about something :


If you draw two parallel rows of n points in $\mathbb R^4$ and link each point with all the points in the opposite row except the one right in front of it, and then allow the points to move where ever, what do you get ?


n=2 gives two lines


n=3 gives a hexagon


n=4 gives a cube


n=5 ...


Is there a general object class apart the one described just the way I did ?



On a special kind of graph connectig n point to n points.
These are the [crown graphs](http://en.wikipedia.org/wiki/Crown_graph).


