Nur Insani Maiwa
Universitas Negeri Makassar

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Projective Geometry Analysis of the Boyang Traditional House Based on Building Numbering of House Theory Ja'faruddin Ja'faruddin; Alimuddin Tampa; Muh. Ishaq Firdaus; Nur Insani Maiwa
Journal of Mathematics, Computations and Statistics Vol. 9 No. 2 (2026): Volume 09 Issue 02 (June 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/7xqaed88

Abstract

This study positions ethnomathematics as a framework for understanding mathematics as an embedded component of cultural practices and indigenous knowledge systems. Indonesia’s rich ethnic diversity provides a wide spectrum of traditional architectural forms containing implicit mathematical structures. This research aims to investigate the architectural structure of the Boyang traditional house through the perspective of projective geometry and House Theory, particularly in the construction of house diagrams, building numbering systems, and the formulation of projective coordinates. The study employed a descriptive qualitative approach by representing one-point, two-point, and three-point perspective views into projective geometric diagrams. The findings reveal that the Boyang house can be classified as a Type IV simple house based on House Theory classification. Furthermore, the resulting building numbers are identified as . The analysis demonstrates that the architectural structure of the Boyang house can be formally modeled within the framework of projective geometry, thereby illustrating the existence of mathematical reasoning embedded in local architectural traditions. These findings contribute to the development of ethnomathematics by strengthening the integration between formal mathematical concepts and cultural heritage studies, while also providing a theoretical foundation for interdisciplinary research in mathematics, architecture, and indigenous cultural studies.