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 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.

This article delves into the system of auspiciousness and misfortune within the 384 line statements of the Zhouyi, focusing on the deeper meaning of 'ji' (auspiciousness), and through a thorough survey and comparison of 'yuanji' (supremely auspicious) and other high-grade auspicious judgments, seeks to identify the most auspicious line in the Zhouyi and reveal the philosophical wisdom and practical guidance it embodies.

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.

This article offers a deep reading of Major Snow (Daxue) among the twenty-four solar terms, drawing upon pre-Qin Confucian and Daoist philosophy, etymological origins, astronomy, and phenology. It analyzes the etymology of 'da means flourishing — at this point snow flourishes,' examines the Hexagram of Return (Fu) with its 'single yang returning' in the zi month, and reveals the virtue of auspicious snow sealing and protecting nascent yang, along with the profound cosmology of 'supreme yin birthing yang — the heart of Heaven and Earth.'

A complete study of the *Zhengming* (Rectification of Names) chapter of the *Xunzi*. It takes up the Master's chain—"if names are not rectified, speech does not flow"—and opens onto the distinction between names having no fixed appropriateness and names having a fixed goodness; it traces in detail the boundary of convention-becoming-custom, the Heavenly Faculties' sorting of categories and the mind's verifying cognition, the three delusions and the inevitability of disputation, the three grades of speech, how order and disorder lie in what the mind approves, the Way as the true balance across past and present, and ends with "the self enslaved to things" and "valuing the self and putting things to service." It takes Confucian and Daoist principle as its foundation, drawing on the *Analects*, *Mencius*, *Doctrine of the Mean*, *Laozi*, *Zhuangzi*, *Zuo Tradition*, and the *Book of Songs*.