Rectified_1_22_polytope 1_22_polytope




1 rectified 1_22 polytope

1.1 alternate names
1.2 construction
1.3 images





rectified 1_22 polytope

the rectified 122 polytope (also called 0221) can tessellate 6-dimensional space voronoi cell of e6* honeycomb lattice (dual of e6 lattice).


alternate names

birectified 221 polytope
rectified pentacontatetrapeton (acronym ram) - rectified 54-facetted polypeton (jonathan bowers)

construction

its construction based on e6 group , information can extracted ringed coxeter-dynkin diagram representing polytope: .


removing ring on short branch leaves birectified 5-simplex, .


removing ring on either 2-length branch leaves birectified 5-orthoplex in alternated form: t2(211), .


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


images

vertices colored multiplicity in projection, in progressive order: red, orange, yellow.









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