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Concept
9-demicube
Summary
In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM9 for a 9-dimensional half measure polytope.
Coxeter named this polytope as 161 from its Coxeter diagram, with a ring on
one of the 1-length branches, and Schläfli symbol or {3,36,1}.
Cartesian coordinates for the vertices of a demienneract centered at the origin are alternate halves of the enneract:
(±1,±1,±1,±1,±1,±1,±1,±1,±1)
with an odd number of plus signs.
Official source
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