What is a simplex design?

A simplex design is a mixture design in which the design points are arranged in a uniform way (or lattice) on an L-simplex. An L-simplex design is similar to and has sides parallel to the following triangle:

For both simplex centroid and simplex lattice designs, you can add points to the interior of the design space. These points provide information about the interior of the response surface; thereby, improving coverage of the design space.

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