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 Solution by Dej Mar)

Dej Mar,

I'd like to follow your argument, but I'm struggling with your English. Could you rework the explanation, or, alternatively, is there another language that's easier for you?

 

Posted by FrankM on 2008-02-14 18:09:41