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.

This article provides a rigorous exegesis of the Confucian aphorism, "he who lacks foresight will find woe at hand," by examining the conceptual interplay between "foresight" (lü) and "woe" (you) within the framework of pre-Qin texts. Drawing upon the philosophical insights of the *Analects*, particularly the *Wei Ling Gong* chapter, it elucidates the teleological significance of proactive planning and the cultivation of sagacious vision as a means to transcend immediate existential contingencies.

This article investigates the central thesis of the Xi Ci Shang Zhuan (Great Commentary, Upper Section) of the Zhouyi — how the sage transforms the hidden textures of reality (ze) into externalized images (xiang) through the cognitive leap of 'gazing upward and examining below.' It reveals the inner connection between yao (lines) and ancient ceremonial institutions, reconstructing the foundations of Yijing theory.

This article offers a deep investigation of the Hexagram Tong Ren (Fellowship with Others) from the Yijing (Book of Changes), grounded in pre-Qin Confucian and Daoist thought and archaic culture, tracing layer by layer the meanings of the hexagram image, judgment, and line statements. Through a careful analysis of the distinction between 'sameness' (tong) and 'harmony' (he), and drawing on the structural logic of the Xu Gua Zhuan (Sequence of Hexagrams), the article illuminates Tong Ren's pivotal role in the transition from obstruction to openness, revealing its primordial wisdom of seeking Great Unity within difference.