Geodesic
Semiregular Gosset polytopes
Izvestiya. Mathematics , Tome 86 (2022) no. 4, pp. 667-698

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The paper is devoted to the study of metric properties of semiregular polytopes in Euclidean spaces $\mathbb{R}^n$ for $n\geqslant 4$ (Gosset polytopes). The results obtained here enable us to complete the classification of regular and semiregular polytopes in Euclidean spaces whose sets of vertices form normal homogeneous or Clifford–Wolf homogeneous metric spaces.
Keywords: finite normal homogeneous metric space, finite homogeneous metric space, finite Clifford–Wolf homogeneous metric space, Gosset polytope, semiregular polytope, regular polytope. 
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     author = {V. N. Berestovskii and Yu. G. Nikonorov},
     title = {Semiregular {Gosset} polytopes},
     journal = {Izvestiya. Mathematics },
     pages = {667--698},
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     number = {4},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2022_86_4_a1/}
}
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V. N. Berestovskii; Yu. G. Nikonorov. Semiregular Gosset polytopes. Izvestiya. Mathematics , Tome 86 (2022) no. 4, pp. 667-698. http://geodesic.mathdoc.fr/item/IM2_2022_86_4_a1/