Geodesic
Multidimensional triangle-truncated simplexes
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 92-100

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We consider the convex polytopes, called triangle-truncated simplexes. From the point of view of a constructive object in four and higher dimensions vector space such polytopes are multidimensional analogs of one classical semi-regular polytopes, namely, truncated tetrahedron. We present results of investigations of inner geometrical structure and combinatorial characteristics of the complete assemblage of faces of triangle-truncated simplexes in vector spaces of arbitrary dimension. We formulate and prove a theorem about the volumes of multidimensional truncated simplex of generalized kind in Euclidean space.
Keywords: constructive geometrical object, multidimensional analog of truncated tetrahedron, triangle-truncated simplex, combinatorial characteristics. 
@article{IVM_2016_7_a9,
     author = {Yu. S. Reznikova},
     title = {Multidimensional triangle-truncated simplexes},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {92--100},
     publisher = {mathdoc},
     number = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_7_a9/}
}
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Yu. S. Reznikova. Multidimensional triangle-truncated simplexes. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2016), pp. 92-100. http://geodesic.mathdoc.fr/item/IVM_2016_7_a9/