cross-polytope meaning in French

hyperoctaèdre

The cross-polytope is the dual polytope of the hypercube.
L'hyperoctaèdre est le polytope dual de l'hypercube.
The 4-dimensional cross-polytope also goes by the name hexadecachoron or 16-cell.
Les 4-polytopes suivants sont basés sur le 16-cellules (ou hexadécachore).
The n-dimensional cross-polytope has 2n vertices, and 2n facets (n−1 dimensional components) all of which are n−1 simplices.
L'hyperoctaèdre de dimension n possède 2n sommets et 2n facettes (de dimension n-1), lesquelles sont des n-1 simplexes.
There are only 3 regular polytopes in 5 dimensions and above: the simplex, {3,3,3,...,3}; the cross-polytope, {3,3, ..., 3,4}; and the hypercube, {4,3,3,...,3}.
Il existe seulement 3 polytopes réguliers en 5 dimensions et au-dessus : le simplexe, {3, 3, 3, …, 3} ; l’hyperoctaèdre, {3, 3, … , 3, 4} ; et l’hypercube, {4, 3, 3, … , 3}.