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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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PEMANFAATAN METODE ITERATED FUNCTION SYSTEM (IFS) PADA PEMBANGKITAN KURVA NAGA Suny, Vian Hafid; Purnomo, Kosala Dwidja; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 20 No 2 (2020): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v20i2.15780

Abstract

Fractals have two types, namely fractals sets (artificial fractals) and natural fractals. Each type of fractal has a variety of fractal objects. One of the fractal objects is the Dragon Curve. Fractal objects can be generated through two methods, namely the Lindenmayer System (L-System) and the Iterated Function System (IFS). In previous studies, the Dragon curve can be generated through the L-System approach. The method is to start from determining the rotation angle, then determining the initial string, and the last one, which is determining the production rules. In this study, the Dragon curve is generated using IFS with Affine Transformation. The Affine transformation used in this study is dilation and rotation. Some variation is given on the scale of dilation and rotation angle. The variation is using a fixed angle with a variety of scale and using a fixed scale with a variation of angle. Each variation gives a different effect. This influence results in a varied visualization of the Naga curve. If the scale and angle that is varied approach a scale of one and an angle of 90° then the fractal formed approaches the Dragon curve of a scale of one with an angle of 90°. Conversely, if the scale and angle are varied away from one scale and angle of 90°, the fractal formed away from the Dragon curve of scale one with an angle of 90°. Keywords: Affine transformation, dragon curve, IFS method.
VARIASI POHON FRAKTAL MENGGUNAKAN L-SYSTEMS Ramdhan, Pradifta Gilang; Purnomo, Kosala D.; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 21 No 2 (2021): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v21i2.25697

Abstract

Fractal tree is simply a trunk and a number of branches, each of which looks like the tree itself. The fractal tree can be generated using the IFS and L-Systems methods. In this article, the author develops fractal tree generation using L-Systems with additional variations. The variations given are in thickness, length, and branch angle. This development is expected to produce more diverse fractal tree patterns. In generating a fractal tree using L-Systems, it begins by determining the letters and symbols to be used. Then determine which axioms should be used. Then the production rules are made together with the determination of the parametric L-Systems. And the last is to determine the probability value for the stochastic L-Systems. In the deterministic L-Systems, thickness variations, length variations, and branch angle variations are carried out. In the variation of branch thickness, if the ratio of the thickness of the left branch is greater than that of the right branch, the fractal tree is skewed to the left. Then in the variation of branch length if the ratio of the length of the left branch is smaller than the ratio of the length of the right branch, the length of the left branch is longer than the length of the right branch. Then at the angle of the branching the smaller the ???? that is included causes the branches to be closer together. The use of stochastic L-Systems can produce more diverse fractal tree patterns, even though they use the same production rules and parameter values
DESAIN MOZAIK PADA BINGKAI JAJARAN GENJANG DENGAN MOTIF GEOMETRIS Sakinah, Zulfatus; Juliyanto, Bagus; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 21 No 2 (2021): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v21i2.25337

Abstract

This research is intended to obtain the steps of a parallelogram frame mosaic design with a Pinwheel tile pattern with geometric motifs. The design of the basic shape of the mosaic on the interior of a parallelogram which is then filled with several geometric motifs in the basic shape of the mosaic is the method used in this study. The results obtained from this study are the basic modeling procedure for the mosaic with a parallelogram frame. the first step, setting the second repetition (iteration) pinwheel tile. the second step, dividing the field on the frame into several basic shapes of mosaics. then for the procedure for filling the basic shape of the geometric patterned mosaic with the following steps. First, determine the geometric motifs that match the selected mosaic shapes. Secondly, fill the motif into each basic form. Thirdly, fill colour on the background.
MODELISASI KOTAK TISU DENGAN PENGGABUNGAN KURVA BEZIER, KURVA HERMIT DAN HASIL DEFORMASI BENDA GEOMETRI Safitri, Dian; Juliyanto, Bagus; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 21 No 2 (2021): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v21i2.22818

Abstract

The tissue box is a place to store tissues to make them look neat and protect the tissues from dirt and dust. Tissue boxes are often used in households, restaurants and also as room decorations. Therefore, the shapes of tissue boxes that are being developed are increasingly varied according to consumer interests. The tissue box consists of three main parts, namely the cover, body and base of the box. This research was carried out by developing variations in the shape of the tissue box components using the Bezier curve, the Hermit curve and the results of the deformation of geometric objects. The deformation techniques used are rotation, dilation, and curve interpolation. Tissue box modeling processes are divided into four stages. The first, modeling the tissue box by dividing into three models, namely model A, model B and model C. The second, determining the size of the tissue box components based on the model. The third, modeling tissue box components. Finally, visualizing the results of the tissue box model by combining the components so that a variety of tissue box models are produced.
KONSTRUKSI LAMPU GANTUNG MENGGUNAKAN TABUNG, BOLA, TORUS, KERUCUT DENGAN KONSEP DEFORMASI, TRANSFORMASI DAN KURVA BEZIER Juniar, Vina Alpiani; Juliyanto, Bagus; Ubaidillah, Firdaus
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 15 No 1 (2023): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2023.15.1.7291

Abstract

ABSTRACT. The purpose of this study is to obtain a hanging light design from a combination of several components using Maple. The results show that the construction procedure for the hanging light components can be carried out in three stages. First, determining some data for cylinder, sphere, torus, cone, and Bezier curve. Second, dividing the hanging light into several components, then creating a procedure for constructing each component using the concepts of deformation, transformation, and Bezier curve. Third, combining all components on the modeling axis and compiling a program using a computer.Keywords: Deformation, Bezier curve, hanging light, transformation ABSTRAK. Tujuan dari penelitian ini adalah untuk mendapatkan desain lampu gantung dari gabungan beberapa komponen menggunakan program Maple. Hasilnya menunjukkan bahwa prosedur pengkonstruksian komponen lampu gantung dapat dilakukan dengan tiga tahapan. Pertama, menetapkan beberapa data untuk tabung, bola, torus, kerucut, dan kurva Bezier. Kedua, membagi lampu gantung menjadi beberapa komponen, kemudian membuat prosedur untuk mengkonstruksi masing-masing komponen menggunakan konsep deformasi, transformasi, dan kurva Bezier. Ketiga, menggabungkan seluruh komponen pada sumbu pemodelan dan menyusun program menggunakan komputer.Kata Kunci: Deformasi, kurva Bezier, lampu gantung, transformasi
Construction of Three Branches Fractal Trees Using Iterated Function System Purnomo, Kosala Dwidja; Wahyuningtyas, Dita; Ubaidillah, Firdaus
Jurnal ILMU DASAR Vol 23 No 1 (2022)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/jid.v23i1.17447

Abstract

There are two types of fractal: natural fractals and fractals set. The examples of natural fractals are trees, leaves, ferns, mountain, and coastlines. One of the examples of fractals set is Pythagorean tree. In the earlier study, the Pythagorean tree has two branches generated through several affine transformations, i.e dilation and rotation. Here, we developed the Pythagorean tree (or fractal tree) with three branches through dilation, translation, and rotation transformation using Iterated Function System (IFS) method. Some values of height and length parameters were selected to ensure the formation of a fractal tree. These parameters affected the branching angle that can result in different fractal tree shape. Some random values of height and length parameters produced several variations of fractal tree. These values influenced the shape of fractal whether it tended to the left, to the right, or symmetrical shape.
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.
Application of Metaheuristic Algorithm for Solving Fully Fuzzy Linear Equations System Puspita Sari, Merysa; Pradjaningsih, Agustina; Ubaidillah, Firdaus
Operations Research: International Conference Series Vol. 3 No. 3 (2022): Operations Research International Conference Series (ORICS), September 2022
Publisher : Indonesian Operations Research Association (IORA)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/orics.v3i3.170

Abstract

A linear equation is an equation in which each term contains a constant with a variable of degree one or single and can be described as a straight line in a Cartesian coordinate system. A Linear equations system is a collection of several linear equations. A system of linear equations whose coefficients and variables are fuzzy numbers is called a fully fuzzy linear equation system. This study aims to apply a metaheuristic algorithm to solve a system of fully fuzzy linear equations. The objective function used is the minimization objective function. At the same time, the metaheuristic algorithms used in this research are Particle Swarm Optimization (PSO), Firefly Algorithm (FA), and Cuckoo Search (CS). The input in this research is a fully fuzzy linear equation system matrix and parameters of the PSO, FA, and CS algorithms. The resulting output is the best objective function and the variable value of the fully fuzzy linear equations system. The work was compared for accuracy with the Gauss-Jordan elimination method from previous studies with the help of the Matlab programming language. The results obtained indicate that the Particle Swarm Optimization (PSO) algorithm is better at solving fully fuzzy linear equation systems than the Firefly Algorithm (FA) and Cuckoo Search (CS). This case can be seen from the value of the resulting objective function close to the value of the Gauss-Jordan elimination methodKeywords: Mathematics, investation
PENGEMBANGAN DAN PEMBERDAYAAN INDUSTRI RUMAH TANGGA (IRT) JAMUR TIRAM DI DESA PONTANG, KECAMATAN AMBULU, KABUPATEN JEMBER Piluharto, Bambang; Ubaidillah, Firdaus; Triono, Agus
Jurnal ABDI: Media Pengabdian Kepada Masyarakat Vol. 10 No. 2 (2025): JURNAL ABDI : Media Pengabdian Kepada masyarakat
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/abdi.v10i2.31765

Abstract

Home industry Oyster Mushroom “Kayla” which is located in Dusun Tengan RT 47 RW 12 Pontang Village, Ambulu District, Jember Regency is a business unit that produces oyster mushrooms. This home industry’s production capacity is 5 kgs of mushrooms per day, with the main consumers being melijo traders and the sorrounding community. The demand for mushrooms from customers is often not met due to limited production capacity. Mushroom baglog as a growth medium is an important component in mushroom production. So far, Mushroom baglogs have been suplied from self-made baglogs and purchased from other parties. Self-made baglogs was produced manually by hand. This is inefficient, besides purchasing baglog from other parties also increases production costs. This activity aims to provide training and assistance to partners, namely the oyster mushroom home industry “Kayla” as a form of training in production of mushroom baglog using the baglog press technique along with digital marketing technique. To achieve this goal, the methods used include training and assistance to activity partners. From the results obtained, the activity partners were independently able to carry out production using the baglog press technique. Apart from that, digital marketing development using social media has been carried out to market mushroom products. The impact obtained from this activity is an increase in the number of baglog obtained, thereby increasing mushroom production capacity to around 10 kgs/day. In the future, skill development and economic empowerment of activity partners can be continued with an emphasis on training on mushroom – based product diversification.
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