different between hyperoctahedron vs hyperoctahedral

English

hyper- +? octahedron

hyperoctahedron (plural hyperoctahedra)

hyper- +? octahedral

hyperoctahedral (not comparable)

(mathematics) Describing a graph more commonly known as the cocktail party graph
(mathematics) Describing a group that can be realized as the group of symmetries of a hypercube or hyperoctahedron.

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