Integrating mathematics and art : Using fractal analysis for modern graphic design optimization
Vaibhav Arjunrao Parjaneparjanevaibhav77@gmail.comDepartment of Computer TechnologySanjivani K.B.P. PolytechnicKopargaon, Maharashtra, 423603, IndiaView full profile → , Nitin Chakolenitinbchakole@gmail.comDepartment of Electronics and Communication EngineeringRamdeobaba UniversityNagpur, Maharashtra, 440013, IndiaView full profile → , *KhushbooCorresponding authorkhushboo@niu.edu.inSchool of Fine Arts & DesignNoida International UniversityGreater Noida, Uttar Pradesh, 203201, IndiaView full profile → , Haripriya H. Kulkarniharipriya.kulkarni@dypvp.edu.inDepartment of Electrical EngineeringPimpriDr. D. Y. Patil Institute of TechnologyPune, Maharashtra, 411018, IndiaView full profile → , Purva Mangepurva.mange@gmail.comSymbiosis School of Planning Architecture and DesignNagpur Campus, Symbiosis International (Deemed University)Nagpur, Maharashtra, 440008, IndiaView full profile → , Sardor Sabirovsabirov_sardor@mamunedu.uzDepartment of General Professional SciencesMamun UniversityKhiva, 220900, UzbekistanView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Apr 2025
- Published Online:
- 18 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2486
- Pages:
- 517–525
Abstract
Keywords
Subject Classifications
References
[1] A. S. Buriboev, D. Sultanov, Z. Ibrohimova, and H. S. Jeon, “Mathematical Modeling and Recursive Algorithms for Constructing Complex Fractal Patterns,” Mathematics, vol. 13, no. 4, pp. 646 (2025).
[2] G. Pál, G. Domokos, and F. Kun, “Curvature flows, scaling laws and the geometry of attrition under impacts,” Scientific Reports, vol. 11, pp. 20661 (2021).
[3] I. D. Morris, “Fast approximation of the affinity dimension for dominated affine iterated function systems,” Annales Fennici Mathematica, vol. 47, pp. 645–694 (2022).
[4] M. Hochman and A. Rapaport, “Hausdorff dimension of planar self-affine sets and measures with overlaps,” Journal of the European Mathematical Society, vol. 24, pp. 2361–2441 (2021).
[5] N. Srikanth and A. Ramarao,“Context-Aware Intelligent Smart Data Recorder for Real-Time Vehicle Tracking and Accident Response, Volume 6, Issue 4, pp. 143–158 (2025), doi: 10.5281/zenodo.16728954
[6] B. Popa, D. Selișteanu, and A. E. Lorincz, “Possibilities of Use for Fractal Techniques as Parameters of Graphic Analysis,” Fractal and Fractional, vol. 6, no. 11, pp. 686 (2022).
[7] Z. Wang, Y. Bao, K. Feng, B. Li, Z. Dong, R. Kang, and Y. Wang, “Characterization, Quantitative Evaluation, and Formation Mechanism of Surface Damage in Ultrasonic Vibration Assisted Scratching of Cf/SiC Composites,” Journal of the European Ceramic Society, vol. 44, pp. 4502–4523 (2024).
[8] F. Mushtaq, K. Ramesh, S. Deshmukh, T. Ray, C. Parimi, P. Tandon, and P. K. Jha, “Nuts & Bolts: YOLO-v5 and Image Processing Based Component Identification System,” Engineering Applications of Artificial Intelligence, vol. 118, pp. 105665 (2023).
[9] M. Soori, B. Arezoo, and R. Dastres, “Internet of Things for Smart Factories in Industry 4.0, A Review,” Internet of Things and Cyber-Physical Systems, vol. 3, pp. 192–204 (2023).
[10] V. Azamfirei, F. Psarommatis, and Y. Lagrosen, “Application of Automation for In-Line Quality Inspection, a Zero-Defect Manufacturing Approach,” Journal of Manufacturing Systems, vol. 67, pp. 1–22 (2023).
[11] L. Susilowati, Slamin, U. Maulida, N. Estuningsih, S. Zahidah, and S. Prabhu, “On the central resolver set of the edge coronation graphs,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 28, no. 1, pp. 29–42, 2025.
[12] R. Gadre, H. Lonkar, T. Gahule, H. Aashtankar, and M. Patle, “Design & Fabrication of Burning Block Making Machine From Agriculture Waste,” International Journal of Technical Advancement and Research in Mechanical Engineering (IJTARME), vol. 14, no. 1, pp. 16–21 (May 2025).
[13] S. N. Ajani, J. Moulick, J. Mohur, R. H. J. Rani, A. D. Sonawane, and P. Shende, “Enhancing secure access in RF communications through advanced elliptic curve encryption,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-A, pp. 571–579 (2026), doi: 10.47974/JDMSC-2498.
[14] D. Motwani, V. Chitre, V. Bhosale, M. M. Nashipudmath, S. Shinde, and A. Nerurkar, “Implementing secure elliptic curve cryptography for blockchain-based financial transactions,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 29, no. 2-A, pp. 617–627 (2026), doi: 10.47974/JDMSC-2504.
