  We construct two pseudofinite theories which are tame from a neostability
perspective, yet have pathological fine pseudofinite dimension in all models.
These theories serve as counterexamples to potential converses of results by
Garcia, Macpherson and Steinhorn relating pseudofinite dimension to tameness.
We demonstrate that pseudofinite cardinality in these theories is well behaved
with regards to definability, and provide a novel method of proving quantifier
elimination using pseudofinite cardinality.
