This article introduces a formal method with regard to point group symmetry in the analysis and construction of housing units and their arrangements. Gregory Ain’s Mar Vista Tract is the focus of this study. In this paper guiding principles of Ain’s housing unit layouts and their arrangements in a city block are examined with respect to the symmetry principle. With the same method, combinatorial possibilities of the units and their arrangements are tested and computed to see how many possible designs can be generated. Finally, streetscape perspectives are generated to illustrate how they would appear when new design features are added.

中文翻译：

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住宅设计的组合可能性和枚举：Gregory Ain 的 Mar Vista Tract (1946–1948)

本文介绍了在房屋单元及其布置的分析和建造中关于点群对称的形式化方法。Gregory Ain 的 Mar Vista Tract 是本研究的重点。在本文中，艾因的住宅单元布局的指导原则及其在城市街区​​中的布置根据对称原则进行了检验。使用相同的方法，测试和计算单元及其布置的组合可能性，以查看可以生成多少种可能的设计。最后，生成街景透视图以说明添加新设计功能时它们的外观。