This study is devoted to the development of a symmetric binary fractal tree model based on fractal geometry and the analysis of its application in furniture design. The main goal of the study is to form a parametrically controlled fractal tree structure using an iterative function system (IFS) and to determine its aesthetic, constructive and functional properties. The model was built based on the scaling factor (λ) and branching angle (θ) parameters. Based on the golden ratio (φ) condition, interconnected symmetric binary tree configurations were analyzed and a new model with an angle of θ = 45° was proposed.
| Mualliflar | Ismailova, Saodat, Anarova, Sh.A. |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2026-05-17 |
| Son | 2 |
| Betlar | 195-199 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
fraktal, fraktal daraxt, geometrik modellashtirish, mebel, interyer, iteratsion funksiyalar tizimi, model, oltin nisbat., fractal, fractal tree, geometric modeling, furniture, interior, iterative function system, model, golden ratio.
| APA | Ismailova, Saodat, & Anarova, Sh.A. (2026). Development of a symmetrical binary fractal tree geometric model and its application in furniture making. Al-Farg'oniy avlodlari, (2), 195-199. https://al-fargoniy.uz/index.php/journal/article/view/1153 |
|---|---|
| GOST (OAK) | Ismailova, Saodat, Anarova, Sh.A. Development of a symmetrical binary fractal tree geometric model and its application in furniture making // Al-Farg'oniy avlodlari. – 2026. – № 2. – P. 195-199. |
| MLA | Ismailova, Saodat, and Anarova, Sh.A. “Development of a symmetrical binary fractal tree geometric model and its application in furniture making.” Al-Farg'oniy avlodlari, (2), 195-199, 2026. https://al-fargoniy.uz/index.php/journal/article/view/1153 |
| Chicago | Ismailova, Saodat, and Anarova, Sh.A. “Development of a symmetrical binary fractal tree geometric model and its application in furniture making.” Al-Farg'oniy avlodlari, (2), 195-199 (2026). https://al-fargoniy.uz/index.php/journal/article/view/1153 |
| Harvard | Ismailova, Saodat, and Anarova, Sh.A (2026) ‘Development of a symmetrical binary fractal tree geometric model and its application in furniture making’, Al-Farg'oniy avlodlari, (2), 195-199. https://al-fargoniy.uz/index.php/journal/article/view/1153 |
| BibTeX | @article{ismailovasaodat2026,
title = {Development of a symmetrical binary fractal tree geometric model and its application in furniture making},
author = {Ismailova, Saodat and Anarova, Sh.A.},
journal = {Al-Farg'oniy avlodlari},
year = {2026},
number = {2},
pages = {195-199},
url = {https://al-fargoniy.uz/index.php/journal/article/view/1153}
} |
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