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.

'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.'

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 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.

Argued across four dimensions — the judgment text, the line's position, cross-verification between the Classic and its Commentary, and philosophical meaning — this essay shows why the top nine of Hexagram Dayou (Great Possession) stands first among the 384 lines of the Book of Changes: 'Aided by Heaven, fortune — nothing unfavorable' is the only unconditional, supreme judgment in the entire classic, while the Great Treatise, speaking in the Master's own voice, supplies the operative mechanism for attaining such fortune — 'treading on trust, cherishing compliance, and honoring the worthy.'

A line-by-line exegesis of the second of the Seven Techniques in the *Basic Scripture of the Hidden Tally* section of the *Guiguzi* — 'Nurturing Aspiration, Modeled on the Sacred Tortoise.' Taking 'aspiration is the envoy of desire' as its diagnosis of pathology and 'when heart-qi is unified, desire no longer wanders' as its chain of cure, the essay draws on the *Book of Changes*, *Book of Documents*, *Book of Songs*, *Zuo Tradition*, *Analects*, *Laozi*, *Zhuangzi*, *Mencius*, *Guanzi*, and *Xunzi* to restore, within its Pre-Qin context, the original meaning of nurturing aspiration, understanding others, and the threefold virtue of the sacred tortoise.