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All Journal Jurnal Ilmu Dasar BERKALA SAINSTEK CAUCHY: Jurnal Matematika Murni dan Aplikasi Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Abdi: Media Pengabdian Kepada Masyarakat Majalah Ilmiah Matematika dan Statistika (MIMS) Operations Research: International Conference Series Jurnal Matematika Integratif
Firdaus Ubaidillah, Firdaus
Jurusan Matematika FMIPA Universitas Gadjah Mada Yogyakarta
Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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Journal : BERKALA SAINSTEK

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Kajian Fraktal k-Fibonacci Word Menggunakan Natural Drawing Rule Prastiwi, Ulfi Mega; Purnomo, Kosala Dwidja; Ubaidillah, Firdaus
BERKALA SAINSTEK Vol 6 No 2 (2018)
Publisher : Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/bst.v6i2.9225

Abstract

Fraktal k-Fibonacci Word dapat dibentuk dari suatu barisan khusus dari bilangan biner {0,1}. Barisan ini didefinisikan k secara rekursif sebagai, f =0 , f =0k−1 1 , f untuk n≥2 d a n k≥1 . Pembangkitan k ,0 k ,1 k ,n = f k ,n−1 f k , n−2 fraktal k-Fibonacci word dapat dilakukan dengan cara memodifikasi barisan baru yaitu menggunakan barisan Dense Fibonacci Word untuk menghasilkan kurva fraktal dengan menggunakan tiga digit {0,1,2}, kemudian untuk membangkitkan kurva fraktalnya menggunakan aturan garis sederhana yang disebut natural drawing rule. Tujuan dari penelitian ini adalah bagaimana cara menerapkan natural drawing rule untuk membangkitkan kurva fraktal k-Fibonacci Word dan mengetahui perubahan bentuk kurva generalisasi k genap dan k ganjil. Karakteristik yang diperoleh untuk barisan Dense Fibonacci word generalisasi k ganjil dan k genap berbeda untuk generalisasi k ganjil mempunyai kesamaan kurva F sedangkan untuk k−2 , n generalisasi k genap mempunyai kesamaan kurva yaitu F . k−4 , n Kata Kunci: fraktal k-Fibonacci Word, barisan Dense Fibonacci Word, natural drawing rule
On The Modification of Chaos Game Rules on A Square Purnomo, Kosala Dwidja; Mawarni, Anindita Setya; Ubaidillah, Firdaus
BERKALA SAINSTEK Vol 10 No 3 (2022)
Publisher : Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/bst.v10i3.24183

Abstract

Fractal is a collection of geometric patterns found in nature and can also be a mathematical model visualization in which the pattern is repeated on a different scale. The formation of a fractal object can be done with a rule called chaos games. Chaos games explain a dot that moves erratically. On this research there will be random and non-random modification of the chaos game rules on a square. The purpose of this research is to make modifications and get visual results from modifications of the rules random and non-random chaos game. Depictions of random and non-random chaos game are carried out using MATLAB programs. Visualization of the random chaos game rule modification is a new fractal object that has self-similarity. Whereas modifications of the non-random rules by giving a particular sequence in selection a square point result in convergent points at specific coordinates. This is demonstrated by showing the value of the limit from the distance between points that produced by non-random chaos game is zero.
Co-Authors Agus Triono Agustina Pradjaningsih Ahmad Kamsyakawuni Alfarezi, Mohammad Rifqi Bambang Piluharto Dian Safitri Fatmasari, Christine Ika Hesti Agustin, Ika Hesti Istiqomah, Rokhmatul Juliyanto, Bagus Juniar, Vina Alpiani Kosala Dwidja Purnomo Larasati, Indry Mawarni, Anindita Setya Mohammad Hasan Nina Mardiana (F01108057) Prastiwi, Ulfi Mega Purnomo, Kosala D. Purnomo, Kosala Dwija Puspita Sari, Merysa Ramdhan, Pradifta Gilang Rini Indrati, Rini Sakinah, Zulfatus Soeparna Darmawijaya Suny, Vian Hafid Tri Hartati, Tri Triadi, Muhammad Bagus Firman Wahana, Nadhilah Putri Wahyuningtyas, Dita