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 provides an in-depth analysis of Lixia (the Beginning of Summer) through the lenses of pre-Qin Confucian and Daoist philosophy, etymological roots, and astronomical observation, elucidating its significance as the critical juncture where the cosmic momentum shifts from "birth" to "growth." By examining the evolution of the character "xia" (夏) and the movement of the star Antares, the study reveals the profound wisdom behind the ancient mandate of "respectfully bestowing the seasons" and the harmonious worldview of unity between humanity and the cosmos.

This article offers an in-depth reading of the core proposition concerning the Xian (Influence/Resonance) hexagram of the Yijing: 'The Xian of the Yi reveals husband and wife. The way of husband and wife must not be left uncorrected, for it is the root of ruler-minister and father-son relations.' It systematically examines the hexagram's position in the structure of the Yi, the etymological relationship between xian and gan (resonance), and analyzes how 'the soft above and the firm below' embodies the principle of yin-yang sympathetic resonance and its foundational significance for pre-Qin ethical order.

A systematic survey of Duan-school Blind-Sect (Mangpai) fate calculation, examined through its lineage, guest-and-host framework, substance-and-function framework, structural work (gong), emptiness and solidity, the Ten Gods, image-reading methods, tomb-and-storage palaces, and timing systems — with a clearly bounded comparison to the Ziping pattern method.