Mathematics Used in the Indonesian’s Traditional Buildings

Chen, Wen-Haw; Jafaruddin,

doi:10.17654/um012010001

Cited by 2 publications

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“…House theory was established by Chen and Ja'faruddin [10] based on traditional buildings and projective geometry. Traditional buildings are those with a unique architecture that reflects a nation's culture, identity, and history [23].…”

Section: House Theorymentioning

confidence: 99%

“…Every traditional house has a philosophy that underlies the design of the building [24]. From a projective geometry perspective, simple houses are divided as follows [10]:…”

Section: House Theorymentioning

confidence: 99%

“…For example, Figures 2 and 3 illustrate the similarity between traditional houses around the world. Some tribes built traditional houses in which the roof forms a triangular prism [7][8][9][10][11][12][13]. These forms suggest that different local people had similar ideas when designing buildings and had similar geometrical concepts.…”

Section: Introductionmentioning

confidence: 99%

“…The concept of projective geometry could thus help us formulate and codify traditional houses. Chen and Ja'faruddin [10] defined traditional houses in some countries as simple houses that are build based on the theories of affine geometry and projective geometry. Affine geometry and projective geometry are mathematical interpretations of reality from the human eye perspective [14].…”

Section: Introductionmentioning

confidence: 99%

“…Form affine and projective geometry perspectives, buildings, and tools in human life are objects for learning and analyzing. Affine and projective geometry are the foundation of the new concept of building numbers and projective coordinates [10].…”

Section: Introductionmentioning

confidence: 99%

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Traditional Houses and Projective Geometry: Building Numbers and Projective Coordinates

Chen

Jafaruddin

2021

Journal of Applied Mathematics

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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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Section: House Theorymentioning

confidence: 99%

“…Every traditional house has a philosophy that underlies the design of the building [24]. From a projective geometry perspective, simple houses are divided as follows [10]:…”

Section: House Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Traditional Houses and Projective Geometry: Building Numbers and Projective Coordinates

Chen

Jafaruddin

2021

Journal of Applied Mathematics

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Topology And Tradition: The Knot Polynomials of Ketupat Nabi

Ja’faruddin,

When Haw

2024

ITM Web Conf.

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This study explores the intersection of mathematics and culinary traditions, focusing on “Ketupat Nabi,” a dish from South Sulawesi’s Bugis community. By applying knot theory, it seeks to understand the mathematical properties of the dish’s knot diagrams. The research began with selecting traditional foods characterized by knots or ties, essential for framing the study’s focus. Photographs and cultural histories of these foods were then collected to provide context. The analysis involved comparing these culinary knots with established knot theory literature, leading to the creation of graphical knot diagrams. These diagrams underwent mathematical analysis using the Alexander polynomial, a key tool in knot theory. The ketupat’s knot diagram, featuring 24 crossing points and incapable of 3-colorability, was a primary focus. Remarkably, this study identified a unique Alexander polynomial for the Ketupat Nabi’s knot diagram, a significant addition to the knowledge of polynomials associated with 24-crossing-point knots. The identified polynomial for the ketupat Nabi’s knot diagram is: Δ𝐾(𝑡)=−𝑡10+7𝑡9−21𝑡8+35𝑡7−35𝑡6+26𝑡5−26𝑡4+30𝑡3−37𝑡2+61𝑡1−79+61𝑡−1−37𝑡−2+30𝑡−3−26𝑡−4+26𝑡−5−35𝑡−6+35𝑡−7−21𝑡−8+7𝑡−9−𝑡−10 These findings accentuate the value of interdisciplinary approaches in elucidating the multifaceted relationship between cultural and mathematical paradigms. Moreover, the research illuminates the untapped scholarly potential of traditional foods as avenues for mathematical exploration.

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Mathematics Used in the Indonesian’s Traditional Buildings

Cited by 2 publications

References 0 publications

Traditional Houses and Projective Geometry: Building Numbers and Projective Coordinates

Traditional Houses and Projective Geometry: Building Numbers and Projective Coordinates

Topology And Tradition: The Knot Polynomials of Ketupat Nabi

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