Recognizing the Correlation of Architectural Drawing Methods between Ancient Mathematical Books and Octagonal Timber-framed Monuments in East Asia

Abstract

ABSTRACT Octagonal buildings in ancient Korea were mostly constructed in the likeness of Buddhist pagodas that emerged during the Goguryeo era. The ancient Chinese books of Jiuzhang Suanshu and Yingzao Fashi confirm that, in constructing Fogongsi’s Yingxian Wooden Pagoda, the ancients could not design a full-form regular octagonal plan in the pre-seventeenth century before the introduction of Western mathematics. Eight-cornered monuments in Japan and Korea faced the same challenge. Thus, this study examines the acceptance and limitations of adapting octagonal drawing methods in Korean architecture from Chinese and Western mathematics. It conducts comparative studies of architectural and mathematical history in pre-modern and modern times. It reveals that field carpenters applied Yingzao Fashi’s formula in constructing an octagon via a square’s diagonal ratio. Further, the Western method of constructing regular octagons was introduced to the Korean Peninsula in the eighteenth century but was not utilized at work sites. Ultimately, the concepts in mathematics texts had a certain influence on the formative beauty of wooden constructions.