 A number of fruitful conceptual intersections have been investigated in the recent literature, such as explanation and beauty, explanation and purity, explanation and depth, explanation and inter-theoretic reduction, and explanation and style. It is not my intent here to provide an encompassing overview of the literature on mathematical beauty, purity of methods, understanding in mathematics, mathematical style, and mathematical depth. We simply refer to one or two such background studies and encourage the reader to explore the bibliography of the studies referred to.