Geometric Models of Some Microstructures

Abstract

Macro structures on our planet that we can see with the naked eye or microstructures that we can only see with a microscope; They have a certain structure that allows them to settle and perpetuate in the environment they live in. These structures are not random, they are placed in a certain order. It is possible to observe them in objects that we can see with the naked eye. For example, this situation can be observed in the placement of fruits and flowers on the plant. These layouts provide them with advantages such as minimum space occupancy and maximum stability. People use these settlement forms, which we give as examples in plants, in architecture, industry, and in different areas such as the design of many products. Essentially, the geometrical rules of mathematics form the basis of these settlements in plants. In this study, it was tried to determine the definitions of geometric structures based on mathematical rules in some plant structures that we can only observe with a microscope. In the study, different plant samples were used to define the geometric models. In mathematical evaluations, mathematical concepts determined in the light of the literature were used to describe the geometric models of microstructures. In the study, literature information about geometric structures and their mathematical formulas was evaluated.