Talk:Steinhaus-Moser Notation

Something's wrong with the relations from this notation when compared to BEAF. So, if I may ask, why is $$\boxed{n} = ^nn$$? If we box 2, we have $$2\text{ in 2 triangles} = 2^2\text{ in a triangle} = \left(2^2\right)^{\left(2^2\right)} = 4^4 = 256$$, which is definitely not $$^22 = 2^2 = 4$$. As exponents are not associative, we know that $$\left(a^b\right)^c \not= a^{\left(b^c\right)}$$ in general. Is there a mathematically correct way of explaining Steinhaus with BEAF? Followed by 100 zeroes (talk | contribs) 21:25, 7 March 2009 (UTC)