This paper deals with the construction of the various inflate-deflate pipe patches with its center curve of a line segment. The construction is formulated by the cross-section, the longitudinal section and the line segment center curve of the pipe patches. The objectives of the research are to model the cross-section curves of the patches by using the polar coordinate, and the longitudinal section of the trigonometry, Bézier, and Hermit curves to enable designing the various models of pipe parts. The study found that some polar formulas and regular polygon sides can evaluate the various cross-section forms of the pipes, and the function cosine, sinus, Bézier and cubic Hermit can draw, respectively, the longitudinal section forms of the pipes. We have tested as well these formulas, and the results show that they are very useful to design the pipes in which its center curves are lines. In the future works, we need to study the pipe modeling with its center curves of space curves.
Vigilance is a top priority in carrying out daily activities considering the number of various crimes that arise due to the increasingly rampant social conflicts regardless of economic class. During 2019, the crime rate in the Labuhanbatu police area (Labuhanbatu, Labuhanbatu Selatan, Labuhanbatu Utara) increased by approximately 10 percent from the previous year, and is still dominated by criminal theft with ballast, motor vehicle theft and drug cases, as for the case data in 2018 there were 4,412 cases and in 2019 4,663 cases. Based on the case, the researcher wants to help the community and the police in preventing crime, especially in Labuhanbatu. The research method used is descriptive method that is research based on actual data by comparing theories and then drawing conclusions. This research will create an Android-based application that helps the community and the police in preventing or overcoming crime. This crime alarm application makes it easy for people who use when a crime occurs because it can be accessed directly on the phone and help the police in handling crime.
The collection of midpoints in chaos game at early iteration looked like a shapeless or chaos. However, at the thousands of iterations the collection will converge to the Sierpinski triangle pattern. In this article Sierpinski triangle pattern will be discussed by the midpoint formula and affine transformation, that is dilation operation. The starting point taken is not bounded within the equilateral triangle, but also outside of it. This study shows that midpoints plotted always converge at one of vertices of the triangle. The sequence of collection midpoints is on the line segments that form Sierpinski triangle, will always lie on the line segments at any next iteration. Meanwhile, a midpoint that is not on the line segments, in particular iteration will be possible on the line segments that form Sierpinski triangle. In the next iteration these midpoints will always be on the line segment that form Sierpinski triangle. So, the collection of midpoints at thousands of iteration will form Sierpinski triangle pattern.
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