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A METHOD OF COMPUTATIONS OF CONGRUENT NUMBERS AND ELLIPTIC CURVES
Park, Jong-Youll,Lee, Heon-Soo The Honam Mathematical Society 2010 호남수학학술지 Vol.32 No.1
We study the concepts of congruent number problems and elliptic curves. We research the structure of the group of elliptic curves and find out a method of the computation of L($E_n$, 1) and L'($E_n$, 1) by using SAGE program. In this paper, we obtain the first few congruent numbers for n ${\leq}$ 2500.
AN APPLICATION OF TILINGS IN THE HYPERBOLIC PLANE
Park, Jong-Youll The Honam Mathematical Society 2007 호남수학학술지 Vol.29 No.3
We will construct several types of semi-regular tilings of a hyperbolic unit disk model by defining geometric features of the definition of distance in a hyperbolic plane, area of triangle, and isometry of inversions. We researched the method of regular tilings and semi-regular tilings of hyperbolic unit disk model and wrote an semi-regular tiling construction algorithm using Cabri2 program and Cinderella program. Lastly, We want to make a product related to traditional heritage cultural patterns using Photoshop, so we'll model the advertising photos of cites; Seoul, Gwangju.