Geometric definition of druse crystal in plant cells Özdemir Ali1, Ozdemir Canan2* 1Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey 2Department of Biology, Manisa Celal Bayar University, Manisa, Turkey *E-mail: cozdemir13@gmail.com
Online published on 5 October, 2021. Abstract In this study, we determined that micromorphological structures of some plant crystal have geometric structures and mathematical formulas. Plant crystals are the storage of many mineral acid salts (inorganic salts) in many plants, such as chloride, phosphate, carbonate, silicate anhydrides and sulfates, which are formed as a result of metabolism. The crystals formed take different shapes. They are named according to these shapes. One of these is called as druse crystal. In our study, it was determined that the microscopic structures of the druse crystals show a minimal surface feature, which has an important place in mathematics. Minimal surfaces are described as surfaces with zero mean curvature. Minimal surface that parametrized as x= (u, v, h (u, v)) so satisfiesLagrange's equation (1 + hl)huu-2kuhvhm + (1 + hl)hPn = 0. In the microscopic observations of our investigated plants, we determined that the druse crystals have a mathematically mmimal surface. The minimal surface of these crystals are ‘great stellated dodecahedron minimal surface ’that is a mathematics definition. It is important example of minimal surfaces. These geometric shapes provide them with some important advantages such as taking up less space and durability. Top Keywords Stellated dodecahedron, Microscopic structures, Minimal surface, Druse crystal. Top |