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MINIMUM DENSITY OF TRIANGULATED PACKING’S THREE DIFFERENT SIZE CIRCLES
Maqola haqida umumiy ma'lumotlar
The current work demonstrates an ideal packing on a triangular flat torus, particularly those with three tangent circles of varying sizes. We ascertain the minimum and maximum densest packing for three disks of various sizes on a torus. The ratio of a triangle's total area to a circle's sectors on a torus yields the minimal density.
T. Kennedy, "Compact packings of the plane with two sizes of discs. Discrete & Computational Geometry," Springer, pp. 255-258, 2006 . |
M. Messerschmidt, "On compact packings of the plane with circles of three. Computational Geometry," Elsevier, pp. 2-3, 2020. |
M. Brandt and H. Smith, " Optimal Packings of 4 Equal Circles on a Square Flat Torus," math.berkeley.edu, pp. 3-7, 2013. |
R. Connelly and M. Pierre, "Maximally Dense Disk Packings on the Plane," arxiv.org, pp. 2-15, 2019. |
V. Mityushev and W. Nawalaniec, "Basic sums and their random dynamic changes in description of microstructure of 2D composites," Computational Materials Science, pp. 64-74, 2015. |
Noori, H. ., & Besharat, R. . (2023). MINIMUM DENSITY OF TRIANGULATED PACKING’S THREE DIFFERENT SIZE CIRCLES. Academic Research in Educational Sciences, 4(1), 303–315. https://doi.org/
Noori, Hamidullah, and Rahman Besharat,. “MINIMUM DENSITY OF TRIANGULATED PACKING’S THREE DIFFERENT SIZE CIRCLES.” Academic Research in Educational Sciences, vol. 1, no. 4, 2023, pp. 303–315, https://doi.org/.
Noori, . and Besharat, . 2023. MINIMUM DENSITY OF TRIANGULATED PACKING’S THREE DIFFERENT SIZE CIRCLES. Academic Research in Educational Sciences. 1(4), pp.303–315.