Extreme principle/solutions
Revision as of 15:10, 4 June 2011 by Ftong (talk | contribs) (Created page with "These are the solutions to the problems on the extreme principle. ===1=== First, we note that it is impossible for a coin <math>\omega</math> to be tangent to six coins <mat...")
These are the solutions to the problems on the extreme principle.
1
First, we note that it is impossible for a coin 
to be tangent to six coins 
if each of the 
is bigger than .
Now consider the smallest coin. By the above observation, it is tangent to at most five of the others.
