Claim Missing Document
Check
Articles

Found 21 Documents
Search

Pembangkitan Fraktal Koch Anti-Snowflake (m,n,c) Menggunakan Metode Transformasi Affine Alkhori, Ellenda Alkhori; Purnomo, Kosala Dwidja; Juliyanto, Bagus
Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami) Vol 3 No 1 (2019): Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai Islami)
Publisher : Mathematics Department

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (289.21 KB)

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.
MODELISASI TIANG TERAS MENGGUNAKAN HASIL DEFORMASI PRISMA SEGIENAM, TABUNG DAN BOLA Henik, Elsha; Juliyanto, Bagus; Kusno, Kusno
Majalah Ilmiah Matematika dan Statistika Vol 18 No 1 (2018): 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.v18i1.17242

Abstract

The cup is given to someone as a sign of apreciation and a gift of achievement. In general, the cup consists of the top, the middle, and the base. This research aims to obtain various forms of the design of cup that varied by merging the deformation results of solid geometry objects. This research method is divided into several stages. First, construct some basic objects as constituent components of cup from deformation of prism hexagon, tube, and cone. Second, set some basic objects of the component of cup on three types of modeling axis. Third, arrange program using software Maple 18. The results of this research obtained the procedure for designing various forms of constituent components of cup from the basic object of a prism hexagon, tube, and cone. Furthermore, the procedure for assembling the components of cup from the first procedure results on three types of modeling axis. Keywords: Cup, Defomation, Prism Hexagon, Tube, Cone
APLIKASI KURVA BEZIER PADA DESAIN BOTOL MINUMAN Triadi, Muhammad Bagus Firman; Juliyanto, Bagus; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 20 No 1 (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.v20i1.17217

Abstract

The beverage bottle consists of several parts. There are mouth, neck, shoulders and body of the beverage bottle. This study aims to modeled the shape of the beverage bottles use Bezier curves with degrees less than or equal to six (n ≤ 6), for obtain a varied and symmetrical shape of the beverage bottles. This research method are divided into several stages. First, modeled the mouth of the beverage bottle. Second, modeled the neck of the beverage bottle. Third, modeled the body of the beverage bottle. Fifth, combined the parts of the beverage bottle. The results of this study was obtained a procedure for modeled varied and symmetrical beverage bottles using Bezier curves with degrees less than or equal to six (n ≤ 6). Keywords: Beverage Bottle, Bezier Curve, Computer Aided Geometric Design
PEMODELAN UJUNG BATANG DAN KAIT GORDEN DENGAN KURVA BÉZIER Istiqomah, Rokhmatul; Juliyanto, Bagus; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 21 No 1 (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.v21i1.19142

Abstract

The end cup consists of the crown, head and neck, while the hook consists of a stand and a hook. This study aimed to obtain various of shapes vary. The modeling can be done with deformation techniques such as interpolation and Bezier curves. The method of this study uses three step namely constructing the basic objects of the geometry, arranging these basic objects on one modeling axis, and visualization with Maple 18. This study obtained 160 the models of end cup and 8 models hook consisting of geometric shapes of tube, cone, sphere, the beam, torus, and the octagonal prism.
MODELISASI HANDLE PINTU DENGAN PENGGABUNGAN KURVA BEZIER DAN HASIL DEFORMASI TABUNG Wahana, Nadhilah Putri; Juliyanto, Bagus; 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.v20i2.19141

Abstract

Door handles are one of the important parts of a door that is used as a handle when closing or opening the door. Door handles are divided into three parts, which are the body part, the leg part, and the footgear part. The study was designed to model the shapes of the door handles using the Bezier curve method, dilatation deformation, and translation deformation, so that the shapes of the door handle become more various and symmetrical. The method of this study was divided into several steps. First, the body part, the leg part, and the footgear part of the door handles were modeled. Then, the model of the every part of the door handles from the previous step were combined. The results of this study were modelling the door handles.Keywords: Bezier curve, dilatation, door handle, translation.
Algebratic Properties Of Residu Quadratic Codes Expanded Kusbudiono, Kusbudiono; Juliyanto, Bagus
Majalah Ilmiah Matematika dan Statistika Vol 17 No 2 (2017): 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.v17i2.23757

Abstract

In code theory one of the important code types is binary code. At binary field till, there is a residu quadratic and a permutation defined with residu quadratic can form a code called residu quadratic code. This code can be extended. In this paper, we discuss the propertis of group of it.
PENERAPAN TEKNIK DEFORMASI BENDA GEOMETRI PADA LAMPU DINDING Fatmasari, Christine; Juliyanto, Bagus; Ubaidillah, Firdaus
Majalah Ilmiah Matematika dan Statistika Vol 21 No 1 (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.v21i1.19137

Abstract

In general, the wall lamp has a function as lighting. Wall lamps consist of lamp shades, connectors and stands. This study aims to obtain calculation methods for designing more varied lamp shades, connectors and stands. This research method is divided into several stages. First, build some basic objects as components of wall lamps from cone deformation, ten-prism prisms, tubes and beams with Bezier curve. Second, it arranges several basic objects of wall lamp components on the modeling axis. Third, arrange a program. The results of this study obtained calculation methods for designing various forms of constituent components of wall lamps from conical base objects, triangular prisms, tubes and beams. Furthermore, assembling the components of wall light on modeling axis.
MODELISASI PIALA DENGAN PENGGABUNGAN HASIL DEFORMASI BENDA GEOMETRI RUANG Putri, Nurika Heidianti; Kusno, Kusno; Juliyanto, Bagus
Majalah Ilmiah Matematika dan Statistika Vol 18 No 1 (2018): 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.v18i1.25004

Abstract

The cup is given to someone as a sign of apreciation and a gift of achievement. In general, the cup consists of the top, the middle, and the base. This research aims to obtain various forms of the design of cup that varied by merging the deformation results of solid geometry objects. This research method is divided into several stages. First, construct some basic objects as constituent components of cup from deformation of prism hexagon, tube, and cone. Second, set some basic objects of the component of cup on three types of modeling axis. Third, arrange program using software Maple 18. The results of this research obtained the procedure for designing various forms of constituent components of cup from the basic object of a prism hexagon, tube, and cone. Furthermore, the procedure for assembling the components of cup from the first procedure results on three types of modeling axis.
PEMANFAATAN ITERATED FUNCTION SYSTEM (IFS) UNTUK MEMBANGKITKAN MOTIF ANYAMAN UKURAN n x n Maris, Ingka; Purnomo, Kosala Dwidja; Juliyanto, Bagus
Majalah Ilmiah Matematika dan Statistika Vol 21 No 1 (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.v21i1.23120

Abstract

Woven is one of art thats very close to life. Woven has a pattern consisting of two-dimensional (2D) and has a basic pattern. Along with the development times, technology is also growing including computer technology. Computer can be used for mathematical calculation process, one of them is fractal. Fractal Sierpinski carpet is formed from a square that use Iterated Function System (IFS) method. This method is exact self-similar resulting in the same fractal with the original constituent object. The writer want to get woven pattern using computer technology, that is GUI application in Matlab that utilizes the IFS method on fractal. Woven patterns formed from woven that have a grid size of n x n and are given a few iterations. So, that it can make it easier for craftsmen to make woven pattern that are interesting and varied.
Design Of Evolutive Pipe Shape Kusno, Kusno; Hidayat, Rusli; Juliyanto, Bagus
Majalah Ilmiah Matematika dan Statistika Vol 16 No 1 (2016): 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.v16i1.23733

Abstract

We formulate evolution tube defined by Bezier dan natural curve in three steps as the following. Firstly, calculating the parametric surfaces of Bezier and natural evolution tube defined by Serret Frenet frame is done. Secondly, we formulate parametric continuity for joining the tubes. Finally, the application of those formulas for modeling the tubes by using computer are simulated.