Rotatable
Rotatability is needed for a
Response Surface design. A Matrix is rotatable if all the point have the same distance to the
Center point.
Rotatable is desired for the quadratic fitting of the model.
| 2 Levels | 3 Levels |
Non linear response |  Linear |  Quadratic |
Examples of rotatabel Designs
Examples of a not rotatabel Design

As visible in the graphical image of a 3 factor
Full Factorial Design with 3 levels, the distance to the Center point variates.
Links