Rectified_1_32_polytope 1_32_polytope

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1 rectified 1_32 polytope

1.1 alternate names
1.2 construction
1.3 images





rectified 1_32 polytope

the rectified 132 (also called 0321) rectification of 132 polytope, creating new vertices on center of edge of 132. vertex figure duoprism prism, product of regular tetrahedra , triangle, doubled prism: {3,3}×{3}×{}.


alternate names

rectified pentacontihexa-hecatonicosihexa-exon rectified 56-126 facetted polyexon (acronym rolin) (jonathan bowers)

construction

it created wythoff construction upon set of 7 hyperplane mirrors in 7-dimensional space. these mirrors represented coxeter-dynkin diagram, , , ring represents position of active mirror(s).


removing node on end of 3-length branch leaves rectified 122 polytope,


removing node on end of 2-length branch leaves demihexeract, 131,


removing node on end of 1-length branch leaves birectified 6-simplex,


the vertex figure determined removing ringed node , ringing neighboring node. makes tetrahedron-triangle duoprism prism, {3,3}×{3}×{},


images







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