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Statements

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dbnary-eng:__ws_1_octachoron__Noun__1

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ontolex:LexicalSense

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1

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dbnary-eng:hypercube dbnary-eng:4-cube dbnary-eng:tesseract dbnary-eng:8-cell

skos:definition

_:vb7736960

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_:vb7736961 _:vb7736962 _:vb7736963

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_:vb7736960

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(mathematics) A four-dimensional object analogous to a cube, constructed out of eight cubes.

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_:vb7736961

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Our 16-point 4D constellation is described by the set {(±1,±1,±1,±1)}, which is indeed the set of vertices of a tesseract (i.e., a regular octachoron) [4].

dcterms:bibliographicCitation

2012, Yequn Zhang, Murat Arabaci, Ivan B. Djordjevic, Rate-Adaptive Four-Dimensional Nonbinary LDPC-Coded Modulation for Long-Haul Optical Transport Networks‎[1], page 3:

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_:vb7736962

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The Schlegel diagram from this figure is a projection of a regular octachoron from the 4-D space to the 3-D space through a point beyond one of its facets.

dcterms:bibliographicCitation

2013, Milorad Cvijetic, Ivan B. Djordjevic, Advanced Optical Communication Systems and Networks, page 357:

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_:vb7736963

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...completing the notation for the vertices of an elementary lattice octachoron.

dcterms:bibliographicCitation

2013, Paul Jennings, Frank Nijhoff, On an elliptic extension of the Kadomtsev-Petviashvili equation‎[1], page 4: