The Representation of symmetric patterns using the quadtree data structure

Hierarchical data structures for image representation have been widely explored in recent years. These data structures are based on the principle of recursive decomposition of an image region. The most commonly mentioned picture data structure for two-dimensional data is referred to as a quadtree . The purpose of this thesis is to investigate the use of a general quadtree scheme as a means of representing symmetric images. Specifically, images are generated according to the rules of selected two-dimensional plane symmetry groups

Structural inorganic chemistry

The textbook contains sections: «Introduction to the structural inorganic chemistry», «Geometric crystallography», «Crystal chemistry» and «Structural crystallography». The textbook is considered the importance of the solid state in the inorganic chemistry, the structure of different types of crystals, their symmetry and the connection with the properties of matter, the spatial arrangement and the chemical bond of atoms in crystals, etc. The methodical recommendations for implementation of practical works containing brief theoretical information, examples and tasks for independent performance are given; the recommendations for the control home work and independent study of this discipline are given. The textbook is for providing study of the discipline «Structural inorganic chemistry», which is taught for Bachelor students of the specialty 161 «Chemical technologies and engineering», specialization «Chemical technologies of inorganic substances and water purification»