Through both formal descriptions and many illustrations, this text presents some of the most important techniques used for constructing combinatorial designs. This edition contains extensive new material on embeddings, directed designs, universal algebraic representations of designs, and intersection properties of designs. It focuses on construction methods to provide readers with the expertise to produce nonstandard experimental designs when needed. The text also includes important results in combinatorial designs, such as the existence of orthogonal Latin squares, balanced incomplete and pairwise balanced