cover
Contact Name
Yudi Ari Adi
Contact Email
bamme@math.uad.ac.id
Phone
+6285743036020
Journal Mail Official
bamme@math.uad.ac.id
Editorial Address
Mathematics Department, Faculty of Applied Science and Technology, Universitas Ahmad Dahlan Kampus 4 Jalan Ahmad Yani, Tamanan, Banguntapan, Bantul, Daerah Istimewa Yogyakarta 55191 INDONESIA E-mail: bamme@math.uad.ac.id
Location
Kota yogyakarta,
Daerah istimewa yogyakarta
INDONESIA
Bulletin of Applied Mathematics and Mathematics Education
ISSN : 27761002     EISSN : 27761029     DOI : https://doi.org/10.12928/bamme.v2i1.5129
Core Subject : Education,
BAMME welcomes high-quality manuscripts resulted from a research project in the scope of applied mathematics and mathematics education, which includes, but is not limited to the following topics: Analysis and applied analysis, algebra and applied algebra, logic, geometry, differential equations, dynamical system, fuzzy system, etc. Graph theory, combinatorics, number theory, coding theory, cryptography, etc. Mathematical modeling in economics, physics, biology, medicine, engineering, control theory and automation, optimization, operational research, neural network, data science, machine learning, etc. Applied statistics and probability, finance mathematics, biostatistics, actuary, etc. RME-based mathematics education. Development studies in mathematics education. Mathematics Ability, includes the following abilities: reasoning, connection, communication, representation, and problem solving. Ethnomathematics, the results of research on the relationship between mathematics and culture practiced by members of cultural groups who share experiences and practices similar to mathematics that can be in a unique form. Application of ICT in mathematical learning and the design, development, and evaluation of the implementation or application of learning media.
Articles 1 Documents
Search results for , issue "vol. 6 no. 2 (2026)" : 1 Documents clear
Transforming Cartesian coordinates into parallel coordinates in 2D space for geometric visualization Gibran Khalil Gibran; Farida Nurhasanah
Bulletin of Applied Mathematics and Mathematics Education Vol. 6 No. 2 (2026)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/bamme.v6i2.13792

Abstract

This study develops, step by step, the geometric transformation that carries the conventional two-dimensional Cartesian plane into a parallel coordinate system. Cartesian coordinates, while foundational in geometry and mathematics, are inherently limited to three dimensions, restricting their effectiveness in representing multidimensional data. As a solution, the parallel coordinate system, originally introduced by Maurice d’Ocagne and later developed into a coordinate system for multidimensional geometry by Alfred Inselberg, is explored for its ability to visualize data with higher dimensions using equidistant, parallel axes. The transformation is carried out in two explicit steps: a 90° rotation of the X-axis about the origin, so that it comes to coincide with the Y-axis, followed by a translation that separates the two axes by a fixed distance d. The duality principle is then applied to illustrate the reversed roles of points and lines. Two results follow. Every point P(x1,y1) of the Cartesian plane is mapped to a line segment joining the two parallel axes; and every line y=mx+b with m≠1 is mapped to the single point (d/1-m, b/1-m), while in the singular case m = 1 the dual is an ideal point of the projective extension of the plane. Visual constructions and worked examples validate the model, showing that the transformation preserves collinearity and the ratios of segments along a line while enabling multidimensional insights. This research highlights the potential of parallel coordinates in mathematical visualization, particularly in representing relationships among multiple variables in two-dimensional spaces.

Page 1 of 1 | Total Record : 1