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.'

This article offers an in-depth analysis of the core proposition of 'yao effecting and xiang imaging' in the Xici zhuan (Great Commentary) of the Zhouyi, examining the dynamic and static distinction between 'effecting' and 'imaging,' tracing the referent of 'this,' and elucidating how yao and xiang constitute the epistemological framework through which the Way of the Yi reveals the subtle and the manifest.

Drawing on pre-Qin Confucian and Daoist philosophy, etymology, astronomy, phenology, and the legend of Cangjie's invention of writing, this article offers an in-depth reading of the Guyu (Grain Rain) solar term. It examines the humane grace of Heaven and Earth embodied in "rain giving birth to the hundred grains," the firm-yet-yielding way of hexagram Guai's "resolving away the last remnant of yin," and the profound meaning behind "Heaven rained down millet, and ghosts wept in the night" at the origin of writing—returning readers to the ancient world of the unity of Heaven and humanity.

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.'