Geodesic
On Simplicial Partitions of Polytopes
Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 840-848

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We prove some general properties of prismoids, i.e., polytopes all of whose vertices lie in two parallel planes. On the basis of these properties, we obtain a nontrivial lower bound for the number of simplices in a triangulation of the $n$-dimensional cube.
Mots-clés : prismoid, simplicial partition, triangulation
Keywords: $(0,1)$-polytope, minimal triangulation, inextensible set. 
@article{MZM_2009_85_6_a3,
     author = {A. A. Glazyrin},
     title = {On {Simplicial} {Partitions} of {Polytopes}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {840--848},
     publisher = {mathdoc},
     volume = {85},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a3/}
}
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A. A. Glazyrin. On Simplicial Partitions of Polytopes. Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 840-848. http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a3/