The Geometry of Higher-Dimensional Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Higher-Dimensional Polytopes write by Zhizhin, Gennadiy Vladimirovich. This book was released on 2018-08-03. The Geometry of Higher-Dimensional Polytopes available in PDF, EPUB and Kindle. The majority of the chemical elements form chemical compounds with molecules of higher dimension (i.e., substantially exceeding three). This fact is very important for the analysis of molecular interactions in various areas: nanomedicine, nanotoxicology, and quantum biology. The Geometry of Higher-Dimensional Polytopes contains innovative research on the methods and applications of the structures of binary compounds. It explores the study of geometry polytopes from a higher-dimensional perspective, taking into account the features of polytopes that are models of chemical compounds. While highlighting topics including chemical compounds, symmetry transformation, and DNA structures, this book is ideally designed for researchers, academicians, and students seeking current research on dimensions present in binary compounds.
The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems
The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems write by Zhizhin, Gennadiy Vladimirovich. This book was released on 2022-04-08. The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems available in PDF, EPUB and Kindle. The study of the geometry of structures that arise in a variety of specific natural systems, such as chemical, physical, biological, and geological, revealed the existence of a wide range of types of polytopes of the highest dimension that were unknown in classical geometry. At the same time, new properties of polytopes were discovered as well as the geometric patterns to which they obey. There is a need to classify these types of polytopes of the highest dimension by listing their properties and formulating the laws to which they obey. The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems explains the meaning of higher dimensions and systematically generalizes the results of geometric research in various fields of knowledge. This book is useful both for the fundamental development of geometry and for the development of branches of science related to human activities. It builds upon previous books published by the author on this topic. Covering areas such as heredity, geometry, and dimensions, this reference work is ideal for researchers, scholars, academicians, practitioners, industry professionals, instructors, and students.
The Fourth Dimension: Toward a Geometry of Higher Reality
The Fourth Dimension: Toward a Geometry of Higher Reality - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Fourth Dimension: Toward a Geometry of Higher Reality write by Rudy Rucker. This book was released on 2014-09-17. The Fourth Dimension: Toward a Geometry of Higher Reality available in PDF, EPUB and Kindle. One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the Fourth Dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.
Regular Polytopes
Regular Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Regular Polytopes write by H. S. M. Coxeter. This book was released on 2012-05-23. Regular Polytopes available in PDF, EPUB and Kindle. Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition.
Realization Spaces of Polytopes
Realization Spaces of Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Realization Spaces of Polytopes write by Jürgen Richter-Gebert. This book was released on 2006-11-13. Realization Spaces of Polytopes available in PDF, EPUB and Kindle. The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes". It is a comprehensive survey of the important results that have been obtained in that direction. The approaches chosen are direct and very geometric in nature. The book is addressed to researchers and to graduate students. The former will find a comprehensive source for the above mentioned results. The latter will find a readable introduction to the field. The reader is assumed to be familiar with basic concepts of linear algebra.
