On the faces of an $n$-dimensional cube
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1126-1139

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The structure of the faces of an $n$-dimensional cube is studied. Some combinatorial results describing the mutual arrangement and the metric characteristics of this structure are obtained.
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     title = {On the faces of an $n$-dimensional cube},
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V. K. Leont'ev. On the faces of an $n$-dimensional cube. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 1126-1139. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a14/