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.

This article offers a profoundly detailed interpretation of the Winter Solstice among the Twenty-Four Solar Terms, drawing upon pre-Qin Confucian and Daoist philosophy, etymological analysis, and astronomical calendrics. It reveals the cosmic pivot of 'yin at its extreme giving birth to yang, the return of first yang, and the beholding of heaven and earth's heart,' examines the rites of the Round Mound sacrifice to Heaven, the origin of the calendar epoch at the month of Zi, and the foundational note of the Yellow Bell pitch-pipe, guiding you through the ancient wisdom by which our forebears discerned the generative heart of heaven and earth amid the deepest darkness.

This article offers a deep reading of Jingzhe (Awakening of Insects) among the Twenty-Four Solar Terms, drawing on pre-Qin Confucian and Daoist philosophy, etymological origins, astronomy, and phenology. Through an examination of the historical renaming from 'Qizhe' to 'Jingzhe,' an analysis of how spring thunder rouses hibernating creatures, and the cosmic vision of the Zhen (Thunder) hexagram's 'the sovereign emerges from Zhen' in the Book of Changes, the essay reveals the critical threshold at which life transitions from dormancy to vigorous action, illuminating the ancient Way of bending and stretching to preserve one's being.

This article explores Chushu (End of Heat) from the perspectives of pre-Qin Confucian and Daoist philosophy, etymological origins, and astronomical phenology, revealing the wisdom shared between 'heat ceases at this point' and 'knowing where to stop, one finds stability.' Through analysis of the character chu (to stop), the hawk's ritual offering of birds, the onset of heaven and earth's solemnity, and the grain's ascent as a return to origins, the article illuminates the ancient way of measured restraint and reverent remembrance.

An introduction to the Xici Zhuan (Appended Statements) of the Zhouyi, written for a faraway reader. Beginning with the fundamental concepts of hexagrams, lines, yin-yang, and the high and the low, it clarifies the composition and reading of the Xici, dispels the most common misunderstandings of beginners and overseas readers, and paves the way for a close study of the twelve chapters of the Upper Xici.

This article offers a deep reading of Yushui (Rain Water) among the Twenty-Four Solar Terms, drawing on pre-Qin Confucian and Daoist philosophy, etymology, and astronomical phenology. Through an examination of the original meanings of the characters "雨" (rain) and "水" (water), the astronomical positioning of the sun at 330° of celestial longitude, and the three phenological signs of the term, combined with Laozi's teaching that 'the highest good is like water,' Guanzi's view of water as the origin of all things, and the Book of Changes' vision of Heaven-One begetting water and clouds moving to bring forth rain, the essay reveals the virtue of water and the meaning—between Heaven and humanity—of spring rain nourishing all things.