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Pronunciation varies by accent · noun
(geometry) A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions)..
We made use of another way of considering the 120 cells, starting with the eight at the vertices of an orthoplex, that is, in the cells of a hypercube.
It is remarkable that the four-dimensional orthoplex is the same polytope as the four-dimensional hemicube.
The combinatorics of this case apply to all members of the Gosset series; in every case, their cells are simplexes and orthoplexes, the latter appearing with only half symmetry.
Use orthoplex when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Orthoplex means (geometry) A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions)..
Common synonyms include cocube, cross-polytope, hyperoctahedron.
The opposite depends on the specific sense.
We made use of another way of considering the 120 cells, starting with the eight at the vertices of an orthoplex, that is, in the cells of a hypercube.
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