Quasicrystal is an R&D project by Ken Furudate , an artist, engineer, and musician, and Hosoo, a traditional Kyoto Nishijin textile company, focusing on the fundamental components of textiles, the woven structure. Throughout their long history, textiles have been composed of a weave structure with periodicity, like a crystalline structure. This project is an attempt to create fabric from a new perspective by actively applying mathematics and algorithms to symbolize the quasicrystal, which has a high order but no periodicity. The project, which evolved from a 2017 R&D project between YCAM (Yamaguchi Center for Arts and Media) and Hosoo, has been selected as one of the projects for the Project to Support Emerging Media Arts Creators (2019), a program hosted by the Agency of Cultural Affairs. With Shoya Dozono, Tatsuki Hayama and Norimichi Hirakawa, who are engaged in computational expression and research activities in different fields such as design, mathematics and art, the project continues to work on creating new meanings and values for cloth with Hosoo craftsmen. They will be passing on the tradition and specialized techniques of Nishijin textiles, which have pursued beauty for 1200 years, to the next generation.