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Science and mathematics developed with great leaps that affected the world, and as a result, new trends and concepts appeared based on the development of mathematics and computers. One of these concepts is the "Voronoi diagram ". The new concept emerged as an important mathematical principle in the field of architecture, and the development of computer algorithms affected the concept of the Voronoi diagram significantly. The Voronoi diagram is one of the most common structural network systems in nature, due to its abundance in nature through plant and animal shapes, ground cracks, tree branches, and lines Blood vessels in humans, animal fur patterns, and beeswax tablets. Its use dates back to the year 1644 AD when Rene Descartes used it in describing the partition of space by means of the stars. And Johann Gustav in 1850 AD, while studying mathematical quadratic equations, the term "Voronoi diagram", taken from the name of the Russian mathematician Georgi Voronoy. Voronoi diagram varies in shapes and patterns and ranges from random to structured form. Architects and designers used the aesthetic features and structural systems of the Voronoy diagram inspired by nature and applied them to their various projects and designs; The research presents the idea of Voronoy diagram, their characteristics, and the different types of structures, which range from organization to randomness and their multiple uses in architecture. The research dealt with several practical examples that the architects were inspired by the diagram of Voronoi. The research also dealt with the application of the concept of Voronoi to furniture units through various design examples. The research proposes the idea of taking advantage of the different forms of the Voronoy diagram and how to benefit from them in designing different theatrical scenes suitable for sci-fi and fantasy performances, celebrations, fashion shows and other theatrical performances. use the application of “aesthetics of the concept of Voronoi” in designing The theatrical scenes range from simplification to complexity in design, and finally, at the end of the article, the results of the study.
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