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Hypercube vs Hyperoctahedral - What's the difference?

hypercube | hyperoctahedral |

As a noun hypercube

is a geometric figure in four or more dimensions, which is analogous to a cube in three dimensions. Specifically, the n-dimensional equivalent of a cube for any non-negative integer n.

As an adjective hyperoctahedral is

describing a graph more commonly known as the cocktail party graph.

hypercube

English

(wikipedia hypercube)

Noun

(en noun)
  • (geometry) A geometric figure in four or more dimensions, which is analogous to a cube in three dimensions. Specifically, the n''-dimensional equivalent of a cube for any non-negative integer ''n .
  • (geometry) Such a figure in four dimensions; a tesseract.
  • (computing) A computer architecture in which each processor is connected to n'' others based on analogy to a hypercube of ''n dimensions.

    • Synonyms

    * (tesseract) , octachoron, tesseract

    See also

    * enneract * hepteract * hexeract * hypersphere * octeract * penteract * polytope * tesseract ----

    hyperoctahedral

    English

    Adjective

    (-)
  • (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.