ITERATIVNO GENERISANJE FRAKTALA NA PRIMERU TROUGLA SIERPINSKOG I SIERPINSKI TETRAEDRA
Ključne reči:
fraktal, trogao Sierpinskog, Sierpinski tetraedar
Apstrakt
Ovaj rad istražuje fraktalnu geometriju, posebno fraktale Sierpinski, njihovu istoriju, generisanje i primene. Takođe se istražuje generisanje trougla Sierpinskog i Sierpinskog tetraedra korišćenjem biblioteke Matplotlib u Google Colaboratory, nudeći različite načine za vizualizaciju ovih fraktala putem iterativnih procesa i animacija.
Reference
[1] Barnsley, Michael F, “Fractals Everywhere”, 2nd Edition, Academic Press Professional, 1993
[2] Aleksandra Ivković, “Fraktalna geometrija Koch-ove krive”, master rad
[3] Taylor R, Micolich A, Jonas D, “Fractal analysis of Pollock`s drip paintings”, Nature 399, 422 (1999). https://doi.org/10.1038/20833
[4] Michael F, Benoit M, Fractals, Graphics, and Mathematics Education, Cambridge University Press, 2002
[5] Kuratowski, Kazimiez, “Waclaw Sierpisnki”, Acta Arithmetica, 21(1): 1-5. doi:10.4064/aa-21-1-1-5, 2022
[6] Bannon, Thomas. "Fractals and Transformations," Mathematics Teacher, March 1991
[7] Vinod S, Ergun A, "Connected & Manifold Sierpinsky Polyhedra", ACM Symposium on Solid Modeling and Applications
[2] Aleksandra Ivković, “Fraktalna geometrija Koch-ove krive”, master rad
[3] Taylor R, Micolich A, Jonas D, “Fractal analysis of Pollock`s drip paintings”, Nature 399, 422 (1999). https://doi.org/10.1038/20833
[4] Michael F, Benoit M, Fractals, Graphics, and Mathematics Education, Cambridge University Press, 2002
[5] Kuratowski, Kazimiez, “Waclaw Sierpisnki”, Acta Arithmetica, 21(1): 1-5. doi:10.4064/aa-21-1-1-5, 2022
[6] Bannon, Thomas. "Fractals and Transformations," Mathematics Teacher, March 1991
[7] Vinod S, Ergun A, "Connected & Manifold Sierpinsky Polyhedra", ACM Symposium on Solid Modeling and Applications
Objavljeno
2024-05-08
Sekcija
Animacija u inženjerstvu
