A theory of three-way decision concerns the art, science, and practice of thinking, problem solving, and information processing in threes. It explores the effective uses of triads of three things, for example, three elements, three parts, three perspectives, and so on. In this paper, I examine geometric structures, graphical representations, and semantical interpretations of triads in terms of basic geometric notions of dots, lines, triangles, circles, as well as more complex structures derived from these basic notions. I use examples from different disciplines and fields to illustrate the uses of these structures and their physical interpretations for triadic thinking, triadic computing, and triadic processing. Following the principles of triadic thinking, this paper blends together three common ways to think, namely, numerical thinking, textual thinking, and visual thinking.

三路决策理论涉及三方面的思维，问题解决和信息处理的艺术，科学和实践。它探讨了三件式三合会的有效用法，例如，三个元素，三个部分，三个视角等等。在本文中，我将根据点，线，三角形，圆形的基本几何概念以及从这些基本概念派生的更复杂的结构，来检查三合会的几何结构，图形表示形式和语义解释。我使用来自不同学科和领域的示例来说明这些结构的用途及其对三重性思维，三重性计算和三重性处理的物理解释。遵循三元性思维的原理，本文将三种常见的思维方式融合在一起，即数字思维，