Hither and thither - Tradução em português

Olá, gostaria de saber a tradução da expressão 'neither hither nor thither' dentro do contexto que segue:

JERRY: So, I decided to kill the dog.
[PETER raises a hand in protest.]
Oh, don't be so alarmed, Peter; I didn't succeed. The day
I tried to kill the dog I bought only one hamburger and what
I thought was a murderous portion of rat poison. When I bought
the hamburger I asked the man not to bother with the roll, all I
wanted was the meat. I expected some reaction from him, like:
we don't sell no hamburgers without rolls; or, wha' d'ya wanna
do, eat it out'a ya han's ? But no; he smiled benignly, wrapped
up the hamburger in waxed paper, and said: A bite for ya
pussy-cat? I wanted to say: No, not really; it's part of a plan to
poison a dog I know. But, you can't say 'a dog I know' without
sounding funny; so I said, a little too loud, I'm afraid, and too
formally: YES, A BITE FOR MY PUSSYCAT. People looked up.
It always happens when I try to simplify things; people look up.
But that's neither hither nor thither.