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.'

Drawing on pre-Qin Confucian and Daoist thought, etymology, astronomy, and phenology, this article offers an in-depth reading of Mangzhong (Grain in Ear), the ninth of the twenty-four solar terms. It reveals the farming-time philosophy behind the folk saying "Mangzhong is busy sowing," examines the phenomena of the praying mantis emerging and the shrike beginning to cry at solar longitude seventy-five degrees, and unfolds how the Gou hexagram's "first stirring of yin" marks a cosmic turning point at the very height of yang—inviting readers into the ancient wisdom of racing against time and revering the seasons as one reveres the divine.

This article offers an in-depth reading of the 'Jiebi' chapter of the Xunzi, exploring the cognitive roots of the 'calamity of obscuration' among the pre-Qin thinkers. Through an analysis of 'the Dao embodies constancy and encompasses all change,' it reveals the predicament of human cognition clinging to 'a single corner,' and elucidates the transcendent value of Confucius's 'benevolence and wisdom, unobscured,' with the aim of understanding how to overcome cognitive bias.

A systematic account of commercial shop fengshui built on the traditional arts themselves — exterior form school (luantou), the Twenty-Four Mountains, Three Cycles Xuankong plotting, doors/paths/registers, annual date selection, Five Phases remediation, and worked case studies.