Taiji variations: Yin and Yang in multiple dimensions

This paper briefly describes the historical background and geometric construction of the Taiji diagram, commonly known as the Yin-Yang symbol. Some examples of two- and three-dimensional variations are given based on alternative construction methods, including a simplified baseball curve with shape parameterized by a single variable. This curve is used to describe the standard Taiji ball, and introduce a new style of ball more in keeping with the Taiji's original design principles.