And the winner is Harry Cantrell, Year 10, of Tamborine Mountain:
"28. I chose an octagon to do the working out on. This was easier as it had 8 dots still and the lines were easily visible. I then put it on the cube dots and got the same answer."
Congratulations Harry.

Imagine that the eight dots below are positioned at the corners of an imaginary cube. Each corner of the cube must be joined to every other corner by a straight rod. To enter this competition tell us how many rods will be needed and draw the cube with all rods included. (Notice that the diagram on page 1 is a cube with each corner joined by a rod (or edge) to precisely 3 other corners.

 

Send your solution to:

Infinity Competition, Mathematics Discipline
The University of Queensland, Brisbane Qld 4072

by 15 November 2004, to win a prize.

© Discipline of Mathematics, The University of Queensland.