Given a partition of a square into n triangles of equal area, prove that n is even.

|n!|₂ =2^-(n-A₂(n))

where n = a₀ + 2a₁ + 4a₂ + 8a₃ + ... +2^L(a_L)

and,

A₂(n) = a₀ + a₁ + ... + a_L

 

Edited on February 4, 2006, 7:39 pm

Posted by Mindrod on 2006-02-04 15:23:12