An Introduction to Biquaternion Number, Schrodinger Equation, and Fractal Graph

It is known that quaternion number has wide application in theoretical physics and engineering fields alike, in particular to describe Maxwell electrodynamics. In the meantime, recently this quaternion number has also been used to draw fractal graph. The present note is intended as an introduction to this very interesting study, i.e. to find linkage between quaternion/biquaternion number, quantum mechanical equation (Schr\"{o}dinger equation), and fractal graph. Hopefully this note will be found useful for subsequent study.