### 5.3.1. Translational Periodicity

In this case, the two sides of the interface must be parallel to each other such that a single translation transformation can be used to map `Region List 1` to `Region List 2`. The trivial case is where the two sides already coincide so that a translation of `<0, 0, 0>` is used; this is equivalent to a general connection with no frame change or pitch change (discussed below).

A translational periodic interface could be used, for example, to represent an infinite straight row (a linear cascade) of turbine blades. For details, see Translational Periodicity.

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