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- W4254147464 abstract "The structure of the n – cross - polytopes for large values of n with an exact enumeration of elements of various dimensions entering their boundary complexes is studied in detail. Examples of chemical compounds with the structure of the n – cross - polytopes are given. It is shown that the polytopic prismahedrons can be polytopes, which simultaneously include the n - simplexes and the n – cross- polytopes as faces. It is established that the list of the n - simplexes and the n – cross - polytopes of different dimensions represented by Gosset as faces of this polytope contradicts the analytic laws of increasing incidence coefficients with increasing n, first established in Chapters 1, 3, 4 of this book. This testifies to the impossibility of the existence of Gosset's polytope." @default.
- W4254147464 created "2022-05-12" @default.
- W4254147464 date "2018-08-08" @default.
- W4254147464 modified "2023-09-27" @default.
- W4254147464 title "The Detailed Structure of n - Cross - Polytopes and Polytopes With Their Participation" @default.
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- W4254147464 doi "https://doi.org/10.4018/978-1-5225-6968-8.ch006" @default.
- W4254147464 hasPublicationYear "2018" @default.
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