Ethnomathematics in Borobudur temple based on cellular automata perspective

Abstract

This research is based on the traditional architecture phenomena closely related to ideas in the field of mathematics. One of them is the historical building in Central Java - Indonesia, Borobudur Temple. This research aims to investigate how a mathematical model based on cellular automata is in Borobudur Temple. The research used a descriptive qualitative with ethnography approach. The study was carried out by reading literature on the Borobudur temple, cellular automata, and ethnomathematics, then we looking for and finding the relationship among them. To find their relationship we use online websites, such as Wolfram in generating the rule of cellular automata. Data analysis in this research was carried out by approaching (approximate) pictures of temple buildings, temple building structures, and stupas with 1-dimensional and 2-dimensional cellular automata theory. To get credible results, the author conducted a discussion or interview with an expert in the Computer Science field. The result of this research is the discovery of cellular automata parameters that can construct the structure of the Borobudur Temple building by using of wolfram alpha cellular automata generator. The Borobudur Temple structure contains Cellular Automata (CA), 1-dimensional CA, 2-dimensional CA, and 3-dimensional CA. In 1-dimensional CA, we got that CA can approach the Borobudur Temple building, its stupa, and the stupa structure. The Borobudur Temple contains 1-dimensional CA in 2 colors on rule 92 and rule 254. This research concludes that the Borobudur temple and its building structure have a close relationship with the cellular automata concept.