  We introduce a family of adic transformations on diagrams that are
nonstationary and nonsimple. This family includes some previously studied adic
transformations. We relate the dimension group of each these diagrams to the
dynamical system determined by the adic transformation on the infinite edge
paths, and we explicitly compute the dimension group for a subfamily. We also
determine the ergodic adic invariant probability measures for this subfamily,
and show that each system of the subfamily is loosely Bernoulli. We also give
examples of particular adic transformations with roots of unity as well as one
which is totally ergodic called the Euler adic. We also show that the Euler
adic is loosely Bernoulli.
