Traditional Houses and Projective Geometry: Building Numbers and Projective Coordinates

Abstract

The natural mathematical abilities of humans have advanced civilizations. These abilities have been demonstrated in cultural heritage, especially traditional houses, which display evidence of an intuitive mathematics ability. Tribes around the world have built traditional houses with unique styles. The present study involved the collection of data from documentation, observation, and interview. The observations of several traditional buildings in Indonesia were based on camera images, aerial camera images, and documentation techniques. We first analyzed the images of some sample of the traditional houses in Indonesia using projective geometry and simple house theory and then formulated the definitions of building numbers and projective coordinates. The sample of the traditional houses is divided into two categories which are stilt houses and nonstilt house. The present article presents 7 types of simple houses, 21 building numbers, and 9 projective coordinates.

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“…I Komang Gede Santhyasa,Wahyudi Arimbawa, Another study on the principles of proportion and geometry in traditional building complexes and settlements is found to be associated with the universe (Eltrapolsi et al, 2022;Chen et al, 2021). In principle, the scale represents nature converted into the size of humans and their environment in harmonization.…”