ABSTRACT
In this chapter, the authors build up from the simplicity of dealing only with two components system and then experiment on three or more. They introduce more sophisticated design variation called a “simplex-lattice”. Mixtures of three components are in the center area. For example, the point located precisely in the middle of the triangle, called the “centroid,” represents a blend of one-third each of all three ingredients. Although the simplex-centroid is not a very sophisticated design, it does mix things up very well by always providing a blend of all the components. The term “simplex” relates to the geometry—the simplest figure with one more vertex than the number of dimensions. In this case, only two dimensions are needed to graph the three components on to an equilateral triangle. Four three-component blend points at the centroids of the triangular faces of the tetrahedron.
