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Polytopic Prismahedrons: Fundamental Regions of the n-Dimension Nanostructures

Polytopic Prismahedrons: Fundamental Regions of the n-Dimension Nanostructures

Copyright: © 2018 |Pages: 36
ISBN13: 9781522541080|ISBN10: 152254108X|EISBN13: 9781522541097
DOI: 10.4018/978-1-5225-4108-0.ch005
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MLA

Gennadiy Vladimirovich Zhizhin. "Polytopic Prismahedrons: Fundamental Regions of the n-Dimension Nanostructures." Chemical Compound Structures and the Higher Dimension of Molecules: Emerging Research and Opportunities, IGI Global, 2018, pp.105-140. https://doi.org/10.4018/978-1-5225-4108-0.ch005

APA

G. Zhizhin (2018). Polytopic Prismahedrons: Fundamental Regions of the n-Dimension Nanostructures. IGI Global. https://doi.org/10.4018/978-1-5225-4108-0.ch005

Chicago

Gennadiy Vladimirovich Zhizhin. "Polytopic Prismahedrons: Fundamental Regions of the n-Dimension Nanostructures." In Chemical Compound Structures and the Higher Dimension of Molecules: Emerging Research and Opportunities. Hershey, PA: IGI Global, 2018. https://doi.org/10.4018/978-1-5225-4108-0.ch005

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Abstract

The structure of polytopes—polytopic prismahedrons, which are products of polytopes of lower dimensionality—is investigated. The products of polytopes do not belong to the well-studied class of simplicial polytopes, and therefore their investigations are of independent interest. Analytical dependencies characterizing the structure of the product of polytopes are obtained as a function of the structures of polytope factors. Images of a number of specific polytopic prismahedrons are obtained, tables of structures of polytopic prismahedrons are compiled, depending on the types of polytopes of the factors. Polytopic prismahedrons can be considered as a result of the chemical interaction of molecules, which, from among which there is a polytope of a certain dimension.

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