This paper presented a unifying derivation based on the

yin

-

yang

manifesting-subduing ascending-descending model， leading to

Hetu

（《河图》），

Luoshu

（《洛书》）， the primordial Bagua diagram， and

taiji

diagram. From the geometric generative models of concepts including

wuji

，

taiji

，

yin

-

yang

， three elements， four images and five phases， we discussed the

yin

-

yang

manifesting-subduing ascending-descending model with details， and further derived the basic model for expressing changes of

yin

-

yang

. Such

yin

-

yang

change basic model could be divided into discrete and continuous change. Discrete changes include quadratic， octonionic， and fractional models. Continuous changes include circular motion models and simple harmonic vibration models. From the quadratic model， the

Hetu

and

Luoshu

could be deduced. From the octonionic model， the primordial Bagua diagram，

Hetu

and

Luoshu

could be deduced. From the simple harmonic vibration model，

taiji

diagram and the basic laws of motion of

yin

and

yang

could be deduced. Finally， a logical framework for modern formulation of

yin

-

yang

theory was given.