4次元球を媒介とした建築的造形の可能性

概要

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Architecture is composed of architectural inner space and structural materials both of which have the 3-dimensional geometrical extension. Usually, such a 3-dimensional extension is shown by an inequality according to the 3dimensional geometry, though the inequality can not represent the precise conditions inside of a 3-space. To the contrary, according to the 4-dimensional geometry, a 3-dimensional extension can be given by an equality which can show minutely the geometrical construction inside of a 3-space. By using this equality, we can get automalically millions of architectural design motifs from a few 4-dimensional mathematical shape. ln this paper, we adopt the 4-dimensional sphere as the 4-dimensional geometrical shape and derive various architectural design motifs through the medium of computer graphics.
社団法人日本建築学会の論文
1995-12-30