 
 
 
 
 
 
 
 This configuration (to the left) of 11 lines in the plane has the
property that no 
line has more than 5 points of intersection.  Since 5 = (11-1)/2, this
example is extremal in some sense.  It is conjectured that, given any
configuration of n lines in the plane, some line will have at
least (n-1)/2 points of intersection on it.  This problem is
still open, and I would love to see it proved or disproved.  Note that
the configuration of lines is just a projective dual of the 11 points
shown to the right.
This configuration (to the left) of 11 lines in the plane has the
property that no 
line has more than 5 points of intersection.  Since 5 = (11-1)/2, this
example is extremal in some sense.  It is conjectured that, given any
configuration of n lines in the plane, some line will have at
least (n-1)/2 points of intersection on it.  This problem is
still open, and I would love to see it proved or disproved.  Note that
the configuration of lines is just a projective dual of the 11 points
shown to the right.If you click here you can see some of Steve Mahaney's children.
If you click here you will find an encapsulated postscript file of a 7-dimensional cube, poset style.
And here you will find a (rather large, 713k) gif of the same figure..
If you click here you can see a logo I generated for New Millenium Computing, Long Island's fastest growing software development firm. And if you click here, you can see a different one.