A cube has 8 vertices. If each vertex is cut off to form a triangle, the new solid will have 3 x 8 = 24 vertices. If each of these vertices is then connected directly to each of the others via a straight line segment, how many of these segments will go through the body of the solid, rather than along its surface?

(In reply to re: Solution by Stephanie)

I get only 60.

In your count are you counting a line segment twice?

My fault, 120 is correct, I wrongly divided by two.

Edited on February 14, 2008, 6:30 pm

Edited on February 14, 2008, 6:31 pm

Edited on February 14, 2008, 9:41 pm

Posted by Bractals on 2008-02-14 18:25:18