This study aimed to explore the arithmetic sequence pattern found in Minangkabau carvings mounted on singok gonjong. The method used is a qualitative method with an ethnographic approach. Data was collected by observation, interviews, literature studies, and documentation. The object of this study is Minangkabau carving on singok gonjong. The data obtained in this study came fromdirect observation, results of interviews with Minang carving craftsmen, documentation, and literature studies. The results showed three kinds of arithmetic sequence patterns in Minang carvings in singok gonjong. The first is the arithmetic sequence pattern on the saik galamai carving with formula Un = n. The second is the pattern of odd and even arithmetic sequences on the sikambang manih carving wtih the odd formula U(2n+1) = 3n + 1 and the even formula U(2n) = 3n. The last is the pattern of odd and even arithmetic sequences on the combined engraving of saik galamai and sikambang manih wtih the odd formula U(2n+1) = 4n + 1 and the even formula U(2n) = 4n. The conclusion shows that the presence of patterns on the saik galamai carvings and sikambang manih carvings found on Singok Gonjong can be used as a preference for learning arithmetic sequences at school
Plant morphology modeling can be done mathematically which includes roots, stems, leaves, to flower. Modeling of plant stems using the Lindenmayer System (L-system) method is a writing returns that are repeated to form a visualization of an object. Deterministic L-system method is carried out by predicting the possible shape of a plant stem using its iterative writing rules based on the original object photo. The purpose of this study is to find a model of the plant stem with Deterministic Lindenmayer System method which will later be divided into two dimensional space three. The research was conducted by identifying objects in the form of pine tree trunks measured by the angle, thickness, and length of the stem. Then a deterministic and parametric model is built with L-system components . The stage is continued by visualizing the model in two dimensions and three dimensions. The result of this research is a visualization of a plant stem model that is close to the original. Addition color, thickness of the stem, as well as the parametric writing is done to get the results resembles the original. The iteration is limited to less than 20 iterations so that the simulation runs optimal.
This study explores the concept of fractal geometry found in the Tian Ti Pagoda. Fractal geometry is a branch of mathematics describing the properties and shapes of various fractals. A qualitative method with an ethnographic approach is used in this study. Observation, field notes, interviews, documentation, and literature study obtained research data. The observation results were processed computationally using the Lindenmayer system method via the L-Studio application to view fractal shapes. The results show that the concept of fractal geometry is contained in the ornaments on the Tian Ti Pagoda. The length and angles of each part of the ornament influence the fractal shape of the Tian Ti Pagoda ornament. In addition, the length and angle modifications resulted in several variations of the Tian Ti Pagoda fractal. The findings from this study can be used as an alternative medium for learning mathematics lectures, especially in applied mathematics, dynamical systems, and computational geometry.
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