I think,comparing two towers of the same uniform weight,
posed on the ground one square and one triangular(same height),the
triangular will fall over at a lower horizontal force at the top.
A pentangular will come out even better.
Ok,this doesn't mean anything about strength.I think,but this
is a pure intuif speculation,that if you compare material against
strength(infact 'strength' is a bit of a simplification of several
parameters) the triangular might come out best in a theoretical way.
But why did they build pyramids with a square base and not with a triangular
one?Well the answer is easy.A square is an easy to handle geometrical form.
If ever you try to design a triangular tower you'll know what I'm talking
about.You will end up with a bad headage.
If you're square minded like most of us buildf a square one.If you're
nuts,like me,try a triangular one.
cheers,
stonebrain