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n-cube Coxeter plane projections in the Bk Coxeter groups project into k-cube graphs, with power of two vertices overlapping in the projective graphs.
The regular 5-simplex is one of 19 uniform polytera based on the 3,3,3,3 Coxeter group, all shown here in A5 Coxeter plane orthographic projections.
The regular 6-simplex is one of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
The cantellated 5-simplex is one of 19 uniform polytera based on the 3,3,3,3 Coxeter group, all shown here in A5 Coxeter plane orthographic projections.
The truncated 6-simplex is one of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
The pentellated 6-simplex is one of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
The plane in question is the Coxeter plane of the symmetry group of the polygon, and the number of sides, h, is Coxeter number of the Coxeter group.
It is also one of 19 uniform polytera based on the 3,3,3,3 Coxeter group, all shown here in A5 Coxeter plane orthographic projections.
These polytopes are a part of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
These polytopes are in a set of 19 uniform polytera based on the 3,3,3,3 Coxeter group, all shown here in A5 Coxeter plane orthographic projections.
These polytopes are a part of 19 uniform polytera based on the 3,3,3,3 Coxeter group, all shown here in A5 Coxeter plane orthographic projections.
The truncated 5-simplex is one of 19 uniform polytera based on the 3,3,3,3 Coxeter group, all shown here in A5 Coxeter plane orthographic projections.