



 
Yes, well spotted! A rigorous proof may be obtained by noting that if we pair each edge with the point on (say) its clockwise end, the pairing is onetoone, which is more or less the definition of samesize set. In three or more dimensions it is of course more complicated! vertices + faces = edges + 2 Good Hunting! RD  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 