This research is devoted to developing a novel type of composite three-dimensional geometric model constructed on the basis of one of the fundamental objects of fractal geometry - the Sierpinski tetrahedron (Sierpinski pyramid). By inserting a vertical cylindrical volume passing through the fractal pyramid, a complex spatial structure is obtained, featuring a system of voids organized according to fractal principles. The methodological framework relies on two fundamental approaches: (1) constructing a primary analytical–geometrical model using R-functions (RFM); and (2) reconstructing the full iterative three-dimensional fractal structure through Iterated Function Systems (IFS).
| Mualliflar | Нурымбетов, Бахберген, Xoliqnazarov, Rashidjon |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2025-12-05 |
| Son | 4 |
| Betlar | 52-55 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
Sierpinski uchburchagi, fraktal geometriya, R-funksiyalar (RFM), Iteratsiyali funksiya tizimlari (IFS), 3D fraktal, tsilindr, Sierpinski triangle, fractal geometry, R-functions (RFM), Iterative function systems (IFS), 3D fractal, cylinder
| APA | Нурымбетов, Бахберген, & Xoliqnazarov, Rashidjon (2025). MODELING A THREE-DIMENSIONAL PYRAMID WITH A CYLINDRICAL PASS-THROUGH FRAGMENT BASED ON R-FUNCTIONS AND ITERATED FUNCTION SYSTEMS (IFS). Al-Farg'oniy avlodlari, (4), 52-55. https://al-fargoniy.uz/index.php/journal/article/view/929 |
|---|---|
| GOST (OAK) | Нурымбетов, Бахберген, Xoliqnazarov, Rashidjon MODELING A THREE-DIMENSIONAL PYRAMID WITH A CYLINDRICAL PASS-THROUGH FRAGMENT BASED ON R-FUNCTIONS AND ITERATED FUNCTION SYSTEMS (IFS) // Al-Farg'oniy avlodlari. – 2025. – № 4. – P. 52-55. |
| MLA | Нурымбетов, Бахберген, and Xoliqnazarov, Rashidjon. “MODELING A THREE-DIMENSIONAL PYRAMID WITH A CYLINDRICAL PASS-THROUGH FRAGMENT BASED ON R-FUNCTIONS AND ITERATED FUNCTION SYSTEMS (IFS).” Al-Farg'oniy avlodlari, (4), 52-55, 2025. https://al-fargoniy.uz/index.php/journal/article/view/929 |
| Chicago | Нурымбетов, Бахберген, and Xoliqnazarov, Rashidjon. “MODELING A THREE-DIMENSIONAL PYRAMID WITH A CYLINDRICAL PASS-THROUGH FRAGMENT BASED ON R-FUNCTIONS AND ITERATED FUNCTION SYSTEMS (IFS).” Al-Farg'oniy avlodlari, (4), 52-55 (2025). https://al-fargoniy.uz/index.php/journal/article/view/929 |
| Harvard | Нурымбетов, Бахберген, and Xoliqnazarov, Rashidjon (2025) ‘MODELING A THREE-DIMENSIONAL PYRAMID WITH A CYLINDRICAL PASS-THROUGH FRAGMENT BASED ON R-FUNCTIONS AND ITERATED FUNCTION SYSTEMS (IFS)’, Al-Farg'oniy avlodlari, (4), 52-55. https://al-fargoniy.uz/index.php/journal/article/view/929 |
| BibTeX | @article{article2025,
title = {MODELING A THREE-DIMENSIONAL PYRAMID WITH A CYLINDRICAL PASS-THROUGH FRAGMENT BASED ON R-FUNCTIONS AND ITERATED FUNCTION SYSTEMS (IFS)},
author = {Нурымбетов, Бахберген and Xoliqnazarov, Rashidjon},
journal = {Al-Farg'oniy avlodlari},
year = {2025},
number = {4},
pages = {52-55},
url = {https://al-fargoniy.uz/index.php/journal/article/view/929}
} |
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