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Abstract ▼ AI-Helper

Recently many works have been appeared to investigate traditional cultural contents from the viewpoint of science and mathematics. This paper aims to research and classify Korean traditional patterns by wallpaper groups in symmetry theory, and to disclose that what patterns exist in each group. We d...

Recently many works have been appeared to investigate traditional cultural contents from the viewpoint of science and mathematics. This paper aims to research and classify Korean traditional patterns by wallpaper groups in symmetry theory, and to disclose that what patterns exist in each group. We describe a brief explanation on the theory of symmetry group and wallpaper groups for understanding of this paper. Research for finding the patterns was accomplished through reference books on Korean traditional patterns. Classification results disclosed that each of 13 groups among 17 wallpaper groups has at least one pattern which belongs to them. But for the other 4 remaining groups we could not find any patterns for them. We also applied wallpaper group to the creation of several patterns to demonstrate that the wallpaper group are a useful idea for designing new patterns.

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