login
Maximal number of joints that can be formed by n lines in space.
0

%I #5 Apr 24 2015 22:32:56

%S 0,0,0,1,1,2,4,4,5,7,10

%N Maximal number of joints that can be formed by n lines in space.

%C A joint is a point in space where three non-coplanar lines intersect.

%C It is not completely certain that a(9)=7 has been proved.

%H Joseph Zurier, <a href="http://math.mit.edu/research/highschool/primes/materials/2014/Zurier.pdf">Generalizations of the Joints Problem</a>, 2015.

%H Joseph Zurier, <a href="https://vimeo.com/125852921">The Joints Problem in Incidence Geometry (Video)</a>, Part 1, Experimental Math Seminar, Rutgers University, Apr 23 2015

%H Joseph Zurier, <a href="https://vimeo.com/125852922">The Joints Problem in Incidence Geometry (Video)</a>, Part 2, Experimental Math Seminar, Rutgers University, Apr 23 2015

%K nonn,more

%O 0,6

%A _N. J. A. Sloane_, Apr 24 2015