Geometrical Models Some of Microstructure Using Tessellation

Year 2022, Issue: 15, 40 - 46, 22.06.2022

Ali Özdemir , Canan Özdemir

Abstract

The physical, biological and functional properties of many materials in nature depend on the size, shape, and spatial distribution of their microstructures, as well as their location. This distribution of layout corresponds to the concept of tessellation, which is expressed by formulas in geometry. This concept has been defined in botany by the term "mosaic" for morphological structures such as a flower petal, bark, or fruit. It is easier to determine the productivity of materials with known microstructures at the macro scale. In many areas, the geometry of the microstructures of materials can be clarified and their usability can be increased. Similar research has been done in the food field. The stability, transport properties, structural integrity or nutritional quality of food materials are reflections of microstructure communities, and when they are embedded, they reveal the engineering structures we call macrostructure (tissue and organ). As a result, when the micro-geometrical structures of the materials are known and considered, the productivity parameters at the macro scale become determinable. The transition from microstructure to macrostructure can then be achieved by appropriate homogenization procedures. Since the microstructures that make up the materials make up the whole of that material, the shape of the connection between them is important. Plant tissues also have a micromorphological structure consisting of many cells. Therefore, the characteristics of the plant depend not only on the characteristics of individual cells, but also on the connection, location, and interactions between the cellular components. In this study, it has been tried to determine the geometric models of the cells that make up the microscopic structures of some plants by using the geometric definitions of tessellation, which is a mathematical concept.

Keywords

Geometric, model, microstructure, tessellation, plant

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