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Zhizhin, (Gennadiĭ Vladimirovich),. The geometry of higher-dimensional polytopes / by Gennadiy Vladimirovich Zhizhin. — 1 online resource. — <URL:http://elib.fa.ru/ebsco/1869092.pdf>.

Record create date: 8/16/2018

Subject: Polytopes.; Polygons.; Molecules — Models.; Molecules — Models.; Polygons.; Polytopes.; MATHEMATICS / Geometry / General

Collections: EBSCO

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"This book determines the features of the geometry of polytopes of higher dimension, which are models of molecules of chemical compounds. This monograph is devoted to the study of geometry polytopes dimension four and above, taking into account the features of polytopes that are models of chemical compounds"--.

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Table of Contents

  • Title Page
  • Copyright Page
  • Book Series
  • Table of Contents
  • Preface
  • Chapter 1: Polytopes of Higher Dimension in the Nature
  • Chapter 2: Boundary Complexes and Interior Points of the Polytopes
  • Chapter 3: The Number of Symmetry Transformation of Convex Regular Polytopes in the n - Space
  • Chapter 4: Polytopic Prismahedrons
  • Chapter 5: Poly - Incident and Dual Polytopes
  • Chapter 6: The Detailed Structure of n - Cross - Polytopes and Polytopes With Their Participation
  • Chapter 7: Scaling in the Process of Hierarchical Filling of n - Dimensional Space
  • Chapter 8: On the Possible Electronic Structure of Atoms in a Space of Higher Dimension
  • Chapter 9: The Partition of n – Dimensional Space of Polytopic Prismahedrons
  • Conclusion
  • Index

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