Reimagining the image reconstruction of Candi Badut in Malang through geometry fractal
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Published:
Apr 1, 2022
Keywords:
Fractal geometry, Temple reconstruction, Vastu Purusha Mandala
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Abstract
Badut Temple is the oldest temple on Java Island and a historical relic of the Kanjuruhan Kingdom that collapsed due to natural and human factors. Therefore, this study aims to determine the suitability of the Badut Temple design drawn by B. De Haan. Based on the vastu purusha mandala philosophy, this Hindu-style temple uses repeated divisions of squares to prove that the design of the head of the temple uses Fractal Geometry with the box-counting method. The results showed that the fractal dimension index on the foot, body, and head with a ratio of 1.878: 1.870: 1.872 or be rounded up to 1:1:1. This means that the B. De Haan sketch design is similar to the existing temple. Furthermore, the ratio of the height of the foot, body, and head was 2.35:4.88:6.94 which is simplified to 1:2:3. Therefore, the Badut Temple adheres to the Vastu Purusha Mandala philosophy.
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Yusran, Yusfan Adeputera, Dhara Adyuta Sasikirana, and Abraham Mohammad Ridjal. 2022. “Reimagining the Image Reconstruction of Candi Badut in Malang through Geometry Fractal”. ARTEKS : Jurnal Teknik Arsitektur 7 (1), 85-94. https://doi.org/10.30822/arteks.v7i1.1246.
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ARTICLES-RESEARCH
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Benoit Mandelbrot. 1967. ‘How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension’. Science 156 (3775): 636–38. http://li.mit.edu/Stuff/CNSE/Paper/Mandelbrot67Science.pdf.
Green, Eric. 1998. ‘Fractal Dimension’. Wittenberg University , United States. https://pages.cs.wisc.edu/~ergreen/honors_thesis/dimension.html.
Lamb, Evelyn. 2015. ‘By Solving the Mysteries of Shape-Shifting Spaces, Mathematician Wins $3-Million Prize’. Scientific American. 2015. https://www.scientificamerican.com/article/by-solving-the-mysteries-of-shape-shifting-spaces-mathematician-wins-3-million-prize/.
Md Rian, Iasef, Jin-Ho Park, Hyung Uk Ahn, and Dongkuk Chang. 2007. ‘Fractal Geometry as the Synthesis of Hindu Cosmology in Kandariya Mahadev Temple, Khajuraho’. Building and Environment 42 (12): 4093–4107. https://doi.org/10.1016/j.buildenv.2007.01.028.
Ningsih, Widya Lestari. 2021. ‘Kerajaan Kanjuruhan: Sejarah, Masa Kejayaan, Dan Keruntuhan’. KOMPAS.Com. 2021. https://www.kompas.com/stori/read/2021/05/05/141141279/kerajaan-kanjuruhan-sejarah-masa-kejayaan-dan-keruntuhan?page=all.
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Oktavianto, Rully Dwi; Sutjitro; Kayan. 2013. ‘Kajian Historis Tentang Candi Badut Di Kabupaten Malang’. Pancaran 2/No.4: 196–208. https://jurnal.unej.ac.id/index.php/pancaran/article/view/796/612.
Parinduri, Alhidayath. 2021. ‘Sejarah Kerajaan Kanjuruhan Dan Isi Prasasti Peninggalannya’. Tirto.Id. 2021. https://tirto.id/sejarah-kerajaan-kanjuruhan-dan-isi-prasasti-peninggalannya-f9zB.
Risi, Vincenzo De. 2015. Mathematizing Space: The Object of Geometry from Antiquity to the Early Modern Age. Basel: Birkhäuser.
Sayekti, Sirly Intan, Chairil Budiarto Amiuza, and Nurachmad Sujudwijono A.S. 2014. ‘Geometri Fraktal Pada Candi Singosari Sebagai Konsep Desain Museum Purbakala Singosari’. Jurnal Mahasiswa Jurusan Arsitektur 2 (2). http://arsitektur.studentjournal.ub.ac.id/index.php/jma/article/view/45/46.
Situngkir, Hokky. 2010. ‘Borobudur Was Built Algorithmically’. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.1672522.
Soviyani, Aris. 1955. ‘Candi Jalatunda Dan Pemugarannya’. Jawa Timur.
Subroto, Lukman Hadi. 2021. ‘Prasasti Dinoyo: Sejarah, Isi, Dan Terjemahan’. KOMPAS.Com. 2021. https://www.kompas.com/stori/read/2021/12/09/150000579/prasasti-dinoyo--sejarah-isi-dan-terjemahan?page=all.
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Werner, Gerhard. 2010. ‘Fractals in the Nervous System: Conceptual Implications for Theoretical Neuroscience’. Frontiers in Physiology. https://doi.org/10.3389/fphys.2010.00015.
Wirasanti, Niken. 2016. ‘Struktur Dan Sistem Tanda Ruang Sakral Candi (Kasus Candi-Candi Masa Mataram Kuna Abad IX Masehi)’. Prosiding Prasasti III: Current Research in Linguistics III: 562–67. https://jurnal.uns.ac.id/prosidingprasasti/article/view/1608.
Yusran, Yusfan Adeputera, and Sebastian Hadinata. 2019. ‘Evaluation the Authenticity of Gereja Protestan Di Indonesia Bagian Barat (GPIB) Immanuel (Red Church) in Kediri City Using the Na’. ARTEKS : Jurnal Teknik Arsitektur 4 (1): 1–12. https://doi.org/10.30822/arteks.v4i1.73.