章潢《圖書編》廣彙《易》圖，可以視為宋明以降之翹楚；象數義說，義理相襯，多有可究之處。輯收之《易》圖，並非只是前人圖式的彙編，更重要的是章潢個人詳細而獨到的理解。在龐富的圖式認識中，〈河圖〉與〈洛書〉一系，為重要之大宗；綜理接受與批判前人之說，並建立自屬的認識主張。〈河圖〉與〈洛書〉以天地之數為基礎，數值化建立宇宙自然的世界圖式，章潢指出天地人物、芸芸萬有，〈河圖〉與〈洛書〉作為造化自然之文，一切的存在，不能逃出數之範疇，而〈河圖〉與〈洛書〉，正以數值變化展現《易》道乃至自然運化之思想。〈河圖〉十數盈滿無虧，為天地全體之實貌，〈洛書〉九數顯其天地之用，得以無窮盡者。萬有之生成變化，具現於此天地體用之中。本文主要關注〈河圖〉與〈洛書〉有關圖說之數值運用推衍，從四個面向進行開展：其一、理氣象數一體而活數通吾心；其二、天地之數的構築原型與衍化殊分；其三、參天兩地與參伍錯綜之道；其四、〈河圖〉與〈洛書〉運數的終始循環結構。根據以上面向之討論，述明有關圖說之具體內涵，梳理其數值變化的多元性與規律性情形，以及其造化自然的陰陽之道之思想意義，並進行有關圖說之總結。

Zhang Huang compiles a huge number of Yi diagrams devised by his predecessors in his Tushubian, which sets him apart from other philosophers in Song, Ming and the following periods. Zhang’s theory on Xiang-Shu is illustrated through Yili (Principle Study), and is worthy of attention and exploration. The Yi diagrams in Tushubian are not just a collection of diagrams by Zhang’s predecessors. What truly makes this book stand out is Zhang’s detailed and insightful interpretations of these diagrams. Among these complex and large-scale diagrams, Hetu and Luoshu are of great importance. Zhang analyzes and evaluates his predecessors’ views and then establishes his own theory. Based on the numbers of heaven and earth, Hetu and Luoshu are cosmological diagrams that use numbers to construct the cosmos and nature. Zhang points out that the heaven, earth, humans, other creatures and non-creatures—every existence in the universe can be included in the realm of numbers. Through the change of numbers, Hetu and Luoshu demonstrate the thought of Yi and the change of nature. In Hetu, everything in the cosmos can be covered in the numbers from 1 to 10, which is a complete set in itself. In Luoshu, the numbers from 1 to 9 show their unexhausted applications in the laws of nature, and heaven and the earth. The change and formation of every existence is manifested in these applications. The present study focuses on the derivations and applications of the numbers in Hetu and Luosho, and aims to provide a comprehensive and detailed analysis of Zhang’s theory, and investigate the diversity and patterns demonstrated in the change of numbers, and explore the important meanings they convey in the formation of nature and in the change of yin and yang.