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Pronunciation varies by accent · noun
(mathematics) A four-dimensional object analogous to a cube, constructed out of eight cubes..
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].
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.
...completing the notation for the vertices of an elementary lattice octachoron.
Use octachoron when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Octachoron means (mathematics) A four-dimensional object analogous to a cube, constructed out of eight cubes..
Common synonyms include 4-cube, 8-cell, hypercube, tesseract.
The opposite depends on the specific sense.
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].
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