The authors propose a connection between mathematical and aesthetic reasoning for the case of color selection in oblique, open-work woven artifacts. The general approach is first modeled on a set of open-work squares. Rotational symmetries of the square provide a mathematica starting point for a set of four open-work mats woven with paper strips. A mathematical eye, guided by concepts such as symmetries and equivalence relations, helps determine aesthetic choices for the set, specifically with respect to color. This color selection algorithm is then applied to a more complicated woven artifact.