北宋陳摶一系開啟《易》與《洪範》之融攝會通，創制圖說， 好於衍數，尤其南宋蔡沈，更構立創造性新法，以「範數」倡言《洪 範》，至此《洪範》之學，另闢新義，歷元明而未墜。明代韓邦奇 《洪範圖解》，正為有關之學傳承譜系中之典型代表，亦是蔡沈思 想之再詮解與補充之有功者。因此，本文主要以韓邦奇《洪範圖解》 作為研究之對象，輔以其《易學啟蒙意見》與相關之論著，立基於 《易》與《洪範》會通之視域，探討《河圖》與《洛書》合範數之 推衍，有關圖象數理化的具體內涵，以及對蔡氏之說的承繼、改造 與創新之重要意義，予以客觀之學術定位。

Chen Tuan proposed the integration of Yi-diagrams and Hongfan in the Northern Song Dynasty, devising innovative Yi-diagrams and exceling in cre-ating new ways of divination with the use of numbers. Among his supporters and followers, Cai Chen formulated a new approach in the Southern Song Dynasty by interpreting Hongfan with “Fanshu” and thus formed the study of Hongfan, which had a prevailing influence lasting into the Yuan and Ming Dynasties. In the Ming Dynasty, Han Bangchi authored Hongfan Tujie, a typical representation of this school of thought, and reinterpreted and supplemented Cai’s theory with his ideas. Focusing on Han’s Hongfan Tujie, along with his Yixue Qimeng Yijian, from the perspective of the integration of Yi-diagrams and Hongfan, the present study aims to delve into Han’s new ways of divination formed by combining Hetu, Luoshu and Fanshu, discuss the important contents of his presentation of Yi-diagrams with numbers, explore his modification and reinvention of Cai’s theory, and offer an objection evaluation of Han’s role in the Yixue history.