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. 
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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/

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