Borobudur Was Built Algorithmically

Situngkir, Hokky

doi:10.2139/ssrn.1672522

Cited by 7 publications

(9 citation statements)

References 4 publications

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“…Sehingga diperoleh dimensi Candi Borobudur, yaitu (D) = 2,3252. Berdasarkan hasil perhitungan tersebut, 2<D<3, sehingga struktur bangunan Candi Borobudur bukan bangun ruang 3 dimensi maupun 2 dimensi, melainkan Candi Borobudur berada diantara dimensi 2 dan 3 (Situngkir, 2010).…”

Section: Hasil Dan Pembahasanunclassified

“…Gambar 8. Konsep bangun ruang pada Candi Borobudur jika dilihat dari atas dan samping (Situngkir, 2010) Konsep matematika mengenai perbandingan dengan pola teratur juga terdapat pada Candi Borobudur. Hal ini terlihat dari jumlah stupa pada tingkat Arupadhatu, yaitu pada lantai 7 berjumlah 16 stupa, lantai 8 berjumlah 24 stupa, dan lantai 9 berjumlah 32 stupa (Larisa, 2011, p.20).…”

Section: Hasil Dan Pembahasanunclassified

“…Sehingga diperoleh rasio 4:6:9. Rasio ini sesuai dengan konsep Hindu-Buddha dalam membangun kuil yang dihubungkan dengan bagian tubuh manusia (Situngkir, 2010;Panyadewa, 2014, p.193).…”

Section: Hasil Dan Pembahasanunclassified

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Etnomatematika: Eksplorasi Candi Borobudur

Utami¹,

Muhtadi²,

Ratnaningsih³

et al. 2020

JP3M

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Matematika merupakan ilmu tentang pola, struktur dan bentuk yang terintegrasi dalam budaya masyarakat. Konsep-konsep matematika yang diaplikasikan, merujuk pada aktivitas, kebiasaan, ataupun adat kehidupan masyarakat dalam menyelesaikan masalah disebut etnomatematika. Salah satu aplikasi etnomatematika ini terdapat pada Candi Borobudur. Candi Borobudur adalah megastruktur konseptual matematika yang dibangun sejak berabad-abad tahun yang lalu, dimana pada masa itu belum berkembang teknologi modern. Penelitian ini bertujuan untuk membahas tentang ajaran, filosofi, dan konsep matematika yang terdapat dalam Candi Borobudur, serta hubungan dari ketiganya. Penelitian ini menggunakan metode eksploratif dengan pendekatan historis dan kultural. Simpulan penelitian ini adalah sebagai berikut: (1) Candi borobudur sebagai produk etnomatematika menyajikan berbagai konsep agama, moral, budaya, dan matematika, (2) Secara keseluruhan, konsep-konsep tersebut memiliki hubungan dan keterkaitan diantara satu sama lain, (3) Konsep-konsep yang disepakati dan diterapkan dalam realita kehidupan, telah membawa matematika sebagai produk budaya yang tertanam sejak zaman dahulu meskipun mereka tidak menyadarinya, dan (4) Candi borobudur merupakan contoh monumen dari orkesta matematika dalam bentuk etnomatematika.Math is the science about the patterns, structures, and shape, integrated into the culture of the life of the community. Mathematical concepts which applicated in the cultural community, refer to activities or customs, habits, life incomplete the problem is called ethnomathematics. One of these ethnomathematics application is present on the Borobudur Temple. Borobudur Temple is a conceptual mathematical megastructure that was built centuries years ago, which at the time was not yet developing modern technology. The purpose of this study is to discuss the form of teaching, philosophy and mathematical patterns of the structure of the building of the temple, as well as the relationship of the third focus of the study. This research method using exploratory with historical and cultural approaches. The conclusions of this research are as follows: (1) Borobudur temple as ethnomatematics product presents various religious, moral, cultural, and mathematical concepts, (2) Overall, these concepts have a relationship and interrelationships with each other, (3) Concepts which are agreed upon and applied in the reality of life, have brought mathematics as a cultural product that has been embedded since ancient times even though they were not aware of it, and (4) Borobudur temple is an example of a monument of a mathematical orchestra in the form of ethnomatatics.

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Section: Hasil Dan Pembahasanunclassified

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Etnomatematika: Eksplorasi Candi Borobudur

Utami¹,

Muhtadi²,

Ratnaningsih³

et al. 2020

JP3M

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“…Research by Situngkir (2010) found that Candi (temple) Borobudur was built algorithmically from which it applied fractal geometry and self-similarity. The essential building of Borobudur is a stupa, but not with a commonly stupa-shaped dome, instead it is a punden (holy place) with six levels of a square (Soetarno, 1988, p. 90).…”

Section: Characteristic Of Mathematics At Borobudur Temple Buildingmentioning

confidence: 99%

Students’ Perception on Borobudur Temple as Mathematic Learning Resource

Danoebroto

2017

Southeast Asian Math. Educ. J.

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This study aims to describe junior high school student’s perception of Borobudur Temple as mathematic learning resources. Borobudur Temple is well known as having extraordinary architecture built algorithmically. The parts of Borobudur Temple such as the stupa, statue, and wall carvings (relief) consist of many geometric models. This study employs an ethnomathematics perspective in describing perceptions about cultural artefacts as a mathematical model. The result of this study may be used as a basis for developing meaningful mathematic learning in schools. The sample of the study was 313 students ofjunior high school located near Borobudur Temple. The measure of the sampling adequacy with KMO is 0.86 from which confirms that the number of the sample is sufficient. The data were collected using a questionnaire with Likert scale 1 to 4 with the following range: (1) disagree, (2) neutral, (3) agree, and (4) strongly agree. The exploratory factor analysis yielded three factors of perception of Borobudur Temple as a mathematic model, those are: (1) Borobudur Temple is a geometry model, (2) Borobudur Temple can be used as mathematic learning source at school, and (3) learning mathematics from Borobudur Temple is helpful for students. The total variance reached 49,572%. The value of Cronbach alpha was 0,8204 for the 14 items. The data were analyzed using descriptive statistics to attain average items of mean and average standard deviation for each factor. The result of the research shows that: (1) students agree that Borobudur Temple is a geometry model, (2) Borobudur Temple can be used as mathematic learning source at school, and (3) learning mathematics from Borobudur Temple is helpful for them.

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“…King Smaratungga built this enormous temple between 780 and 830 BC [1]. The study of this temple by Situngkir proved that the building of Borobudur temple was arranged in a symmetrical form and obeyed geometric laws [2]. When viewed from above, a symmetrical pattern formed from the large building which explains the philosophical concepts of Buddhist teachings.…”

Section: Introductionmentioning

confidence: 99%

A Phenomenology Approach: Religious Significance of Mandala in Ancient Nias Culture

Zaluchu¹,

Widjaja²

2019

Proceedings of the Proceedings of the 1st Seminar and Workshop on Research Design, for Education, Social Science, Arts, and Hum

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is one of the cultural and religious symbols. They found in various ancient cultures. One of them is in the culture of the community on the island of Nias in northern Sumatra Indonesia. This article found that mandala is not just a traditional art or ornament. However, it is the theological reflection of a belief system that connects humans on earth with transcendent divine entities. Through it, ancient Nias people believed in the existence of divine reality in strong religious beliefs. The diagram also relates to the philosophy of life. The findings show that the craftsmen intentionally used various forms of diagrams as philosophical reflections of life which are believed to be closely related to local wisdom. As a result of the change in the Nias belief system from animism to the monotheistic worship of God (Christianization of Nias), there was a shift in the meaning of the mandala into cultural icons and ornaments. This paper written with a review of the literature analysis using the Phenomenology of Religion theory approach, starting from a discussion of the concept of the Indian in ancient cosmology to its symbolic meaning in the religious system. They have compiled with literature analysis using the Phenomenology of Religion theory approach.

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Borobudur Was Built Algorithmically

Cited by 7 publications

References 4 publications

Etnomatematika: Eksplorasi Candi Borobudur

Etnomatematika: Eksplorasi Candi Borobudur

Students’ Perception on Borobudur Temple as Mathematic Learning Resource

A Phenomenology Approach: Religious Significance of Mandala in Ancient Nias Culture

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