Geometric Constructions of Korean Danchong Patterns and Building Platonic Solids

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Kyongil Yoon, Hyunkyung Kim and Reza Sarhangi: Geometric Constructions of Korean Danchong Patterns and Building Platonic Solids. In: Bridges 2014. Pages 525–532



Danchong is drawn patterns or paintings on wooden buildings to protect the structures from being weathered and decorate them. Five basic colors of Wu Xing and compound colors of them are used, and patterns are drawn under certain rules. It is found from most Korean palaces and temples. The purpose of this workshop is to understand danchong, try to regenerate some of its patterns using geometric constructions, and finally apply generated patterns to cover faces of Platonic solids.

Extended Abstract


Used References

[1] Insook Kim, Study on the Peculiarity of Danchong Pattern Classified by Using of Building in Age of Choson, 2007., Master's Thesis, Kyungil University

[2] Hyunjoo Oh, Study on the porcelain pieces through reinterpretation of Dancheong patterns, 2011, Master's Thesis, Pusan National University

[3] Hyeyong Lim, Formative Analysis on Danchong Pattern of Korean Wooden Buildings, 2001., Master’s Thesis, Kyunghee University

[4] Gyeongbokgung Palace. Cultural Heritage Administration,

[5] Chunwoong Kang, Comparison of Palaces Rafters and Danchong Patterns on Them, 08 Feb. 2011, Web.

[6] Reza Sarhangi, "A Workshop in Geometric Constructions of Mosaic Designs", Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture, Tessellations Publishing, 2010, 531- 538

[7] Craig S. Kaplan, "Computer Generated Islamic Star Patterns", Proceedings of Bridges 2000: Mathematical Connections in Art, Music, and Science, Tarquin Publications, 2000, 105-112

[8] John Rigby, "Creating Penrose-type Islamic Interlacing Patterns", Proceedings of Bridges 2006: Mathematics, Music, Art, Architecture, Culture, Southwestern College 2006, 41-48

[9] E.B. Meenan and B.G. Thomas, "Creating Islamic Patterns from Folded Shapes", Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture, Tarquin Books, 2009, 367-374

[10] Geometer's Sketchpad, Web.


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