Pembangkitan Fraktal Koch Anti-Snowflake (m,n,c) Menggunakan Metode Transformasi Affine

  • Ellenda Alkhori Alkhori Jurusan Matematika, Universitas Jember
  • Kosala Dwidja Purnomo Jurusan Matematika, Universitas Jember
  • Bagus Juliyanto Jurusan Matematika, Universitas Jember
Keywords: Fraktal, Koch Anti-Snowflake, Transformasi Affine

Abstract

Fractal Koch Anti-Snowflake (m,n,c) is a developmental form of fractal Koch Anti-Snowflake (m,n,c) with variation of m is initiator (basic form) using polygon-m and with variation of n is generator (iteration) using polygon-n. While c the size of the middle segment that removed on each side of initiator. Each iteration on generation procedure of Koch Anti-Snowflake (m,n,c) using affine transformation method will produce several forms, the first form is Koch Anti-Snowflake (m.n,c) that does not intersect with variation of initiator polygon-m, variation of generator polygon-n, and the selected c value that is a half the upper limit value ​​have been specified. The Second forms is Koch Anti-Snowflake (m,n,c) coincide with a variation of the initiator polygon-m, variation of generator polygon-n and there are variation value of  c which is less than half of the upper limit in the value of c selected. The third form is Koch Anti-Snowflake (m,n,c) intersect with a variation of the initiator polygon-m and variation of generator polygon-n, variation of the initiator polygon-m and variation of generator polygon-n with the selected variation c value which is close enough with the  upper limit of  value specified is c-0,00001.

References

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Published
2020-02-13