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 investigation into the pre-Qin, high-antiquity origins and inner rationale of the Six Combinations and their Qi transformations among the Twelve Earthly Branches (e.g., Zi-Chou combining to transform into Earth). Through textual examination of the Earthly Branches' origins, their connection with Jupiter's orbital cycle, the correspondences between the twelve months and the twelve sovereign hexagrams, and the spatial positioning of the four Earth-branches at the four inter-cardinal directions, the essay reveals the profound astronomical and yin-yang philosophical underpinnings of the Earthly Branch system as a cornerstone of Chinese metaphysical arts.

From historical origins, theoretical foundations, and the compass as core instrument, to the doctrines of Eight Mansions, Sanhe, Xuankong Flying Star, and other major schools—along with comparative case studies and inter-school debates—a panoramic survey of the principle-and-qi (liqi) tradition for advanced readers.

A line-by-line reading of the second chapter of the Upper Xici. The sage's four acts -- establishing the hexagrams, observing the images, appending the statements, clarifying fortune and misfortune -- run in exact reverse order to the noble person's four acts -- observing the images, savoring the statements, observing the changes, savoring the divination. The four clauses "is the image of..." form a chain tracing effect back to cause; "the repose in which he dwells" echoes the Doctrine of the Mean's "dwelling in ease, awaiting the Mandate"; and the chapter closes by quoting the top line of hexagram Da You, "From Heaven comes its aid," gathering the whole into the two words compliance and good faith. Grounded in Confucian and Daoist thought, and drawing on the Analects, Mencius, Laozi, Zhuangzi, Xunzi, and the Zuo Tradition, it explores how the noble person finds repose between Heaven and Earth and acts amid change.