Is there any reason why SymmetricTensor <3, dim> does not exist?

This is, I thought, fairly straightforward to implement; which I
would like to since I am using one almost every day at the
moment, just not computationally yet...   ;-)

The documnentation states: Note that symmetric tensors only exist with
even numbers of indices. In other words, the only objects that you can
use are SymmetricTensor<2,dim>, SymmetricTensor<4,dim>, etc, but
SymmetricTensor<1,dim> and SymmetricTensor<3,dim> do not exist and
their use will most likely lead to compiler errors.

Why? Or should I just try it out and figure it out myself from there?
I am curious if there is a reason why this does not exist, that I do
not know about?

Either way thanks to the author of SymmetricTensor <2 and 4, dim>; this
function cleans up my thoughts and my code to no end! 

Cheers.

Best,
        Toby

-- 

Toby D. Young
Philosphy-Physics
Assitant Professor (Adiunkt)
Polish Academy of Sciences
Warszawa, Polska

www:   http://www.ippt.gov.pl/~tyoung
skype: stenografia
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