المستخلص: |
The design process depends on the visual and cognitive organizing of elements in nature that the designer sees around him, the forms that appear to us in nature as appearing random or chaotic have been shown to result from mathematical equations these equations are used to study a different type of mathematics known as fractal mathematics and Voronoi diagrams and It deals with the study of the laws of growth and the formation of cells and their aesthetic proportions in nature, which differ from Euclidean geometry, and some art schools throughout the ages such as The Bauhaus, Art Novo and others have adopted the idea of relying and focusing on Euclidean geometry in its geometric forms such as circle, square and triangle to achieve simplification, abstraction and clarity considering that these forms are the basic forms. In this research, the geometries of nature and its basic forms based on modern theories and the difference between them and Euclidean geometry were highlighted, and the research dealt with two types of geometric forms to realize the difference between them and their role in some successive artistic movements as the research have the work of a number of international artists who took From the new trend based on nature engineering in their works of art, the study then identified some innovative entrances to the design of four artists: Zaha Hadid, JoeReese Larman, Clint Volkerson and George Hart, and came up with new innovative formulas for designing the printing of women's fabrics Based on Fractal Mathematics and Voronoi diagrams as well as the golden ratio.
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