Are you looking for Trit Networks?
trit /trit/ n.
[by analogy with "bit"] One base-3 digit; the amount of information conveyed by a selection among one of three equally likely outcomes. A trit may be semi-seriously referred to as "a bit and a half", although it is linearly equivalent to 1.5849625 (log2(3)) bits.
(From the Jargon File, version 4.3.1, 29 Jun 2001.)