Starting from the mathematical structure of Taiji, the Two Modes, Four Images, and Eight Trigrams in the Book of Changes, this article systematically explores the information-carrying capacity of Bazi and Qimen Dunjia as divinatory systems. Through analysis of Yin-Yang, the Five Phases, the Hetu and Luoshu, and other classical mathematical foundations, it seeks to provide a unified perspective for measuring and comparing the information volume of these two arts.

A thorough exploration of the principles behind Qimen Dunjia's capacity for 'multiple judgments from a single chart.' Through holographic cosmology, multidimensional coordinate systems, the symbolic system of universal correspondences, and the shifting of Taiji focal points, this article dissects the core mechanisms of what is regarded as the highest art of divination in ancient China.

'An in-depth analysis of the core differences between the "Life Chart" (Mingpan / Zhongshen Pan) and the "Hourly Chart" (Shi Pan / Shijia Qimen) in Qimen Dunjia. Exploring from the dimensions of temporal scope, analytical logic, application range, and philosophical essence, this article reveals the dialectical relationship between fate and contingency in Yixue divination.'

An in-depth analysis of the philosophical core, the detailed procedure of the Four Operations and Eighteen Transformations, and the mathematical mysteries of non-uniform probability in the Yijing's Great Expansion milfoil divination method, combined with the classic case of Duke Mu of Qin's campaign against Jin from the Zuo Zhuan (Duke Xi, Year 15) to reconstruct the hexagram-interpretation logic of the pre-Qin perspective.

The Five Combinations of the Heavenly Stems (Jia-Ji combining into Earth, Yi-Geng into Metal, Bing-Xin into Water, Ding-Ren into Wood, Wu-Gui into Fire) constitute one of the most fundamental yet mysterious theories in Chinese metaphysical arts. This article delves into the profound principles behind them, analyzing various conjectures and demonstrations of 'combination and transformation of qi' from dimensions including the Hetu numerology, celestial astronomy, and the Five Phases and Six Qi system, revealing the cosmic vision underlying this ancient law.

This article offers a deep reading of the core proposition in the Xici Shangzhuan — 'What the junzi dwells in and finds peace in is the order of the Yi' — integrating the pre-Qin context, the Confucian scholarly lineage, and the structure of the Zhouyi to elucidate how the junzi, by embodying the Way of Heaven and Earth, takes the Yi as the foundation of settled existence, contemplates the images and savors the statements, and ultimately attains the state of 'auspiciousness with nothing unfavorable.'