Cyclically Selecting Parts Using Mod with Offset = 1

The Doc Center notes this usage of the offset feature in Mod to cyclically select Parts. Setting offset to 1 means Part will cycle from Part #1 through the value of n instead of the expression itself (i.e. Part #0) tbrough n - 1. However I have not seen a useful application of this idiom.

In[1]:= {a, b, c}[[Mod[Range[10], 3, 1]]]


Out[1]= {a, b, c, a, b, c, a, b, c, a}