Mathematical Solutions of Geometric and Floral Elements in Ornament Composition Examples
Symmetrical Structure and Proportional Harmony of Forms in Traditional Ornamentation Systems
DOI:
https://doi.org/10.30546/200309.2025.001.607Keywords:
Mathematical Ornament, Function, Two-Variable Equation, System of Inequalities, Applied Decorative ArtAbstract
In applied decorative arts, it is considered appropriate to study ornaments in conjunction with various scientific disciplines. For this purpose, the article utilizes mathematical regularities to conduct a comprehensive analysis of ornaments in Azerbaijani applied-decorative art. This approach strengthens analytical thinking and encourages logical exploration. Specifically, by constructing graphs of analytically defined functions—whether exponential, logarithmic, trigonometric, inverse trigonometric, or involving modular signs—as well as solving two-variable equations and inequalities mathematically, it is possible to derive geometric elements within ornament composition examples. Thus, it is feasible to develop the art of ornamentation based on rigorous mathematical foundations and logical principles.
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