This paper is concerned with the use of the stereographic projection in order to map the sphere points of designs for regression models in three variables and design space the unit ball onto the two-dimensional stereogram. Details of the projection and its attendant stereogram are given. Stereograms which represent the spherical component of designs with points on the sphere and the centre of the unit ball, including the central composite and the Box-Behnken designs, are introduced. In addition, an example in which stereograms are used to elucidate the geometric isomorphism of a suite of designs generated by an exchange algorithm is presented.

翻译：本文关注于利用立体投影将三变量回归模型设计中的球面点及单位球设计空间映射到二维立体图。详细介绍了该投影方法及其配套立体图。引入可表示球面点设计及单位球中心点的球面成分立体图，包括中心复合设计与Box-Behnken设计。此外，通过实例展示了如何运用立体图阐明由交换算法生成的一系列设计的几何同构性。