Visualization of polygon topology in R2 by dividing the outer plane of the polygon

In geometric topology, it is very interesting to develop especially related to the visualization of similar polygons to show the existence of each topology in a two-dimensional plane (R2). The aim to be achieved is to evaluate the conceptual application through the application of the development of the theory of polygon duplication images that are similar with the aided triangle and rectangle. The method chosen in this study is basic research for aiming at discovering new knowledge that had not been previously known. of a visual illustration of a polygon where the number of duplications can be determined and the R2 field. The instrument used is a validated assessment sheet. The validity test result is 2.68 so it is included in the valid category. The visualization of polygon topology on R2 can determine the number of polygons produced by dividing the number of corner points (n) into 2 parts, namely even and odd. The phenomenon of the research result shows that the odd and even n shows an arithmetic sequence. With this division, the formula for the total polygon topology ∑ ?_? is obtained using the formula for (Un) in the arithmetic sequence. (paper)