Editing 16-cell (section)

== Related uniform polytopes and honeycombs ==

The regular 16-cell and [[tesseract]] are the regular members of a set of 15 [[B4 polytope|uniform 4-polytopes with the same B<sub>4</sub> symmetry]]. The 16-cell is also one of the [[D4 polytope|uniform polytopes of D<sub>4</sub> symmetry]].

The 16-cell is also related to the [[cubic honeycomb]], [[order-4 dodecahedral honeycomb]], and [[order-4 hexagonal tiling honeycomb]] which all have [[Hexagonal tiling honeycomb#Polytopes and honeycombs with tetrahedral vertex figures|octahedral vertex figures]].

It belongs to the sequence of  [[Order-6 tetrahedral honeycomb#Related polytopes and honeycombs|{3,3,p} 4-polytopes]] which have tetrahedral cells. The sequence includes three [[regular 4-polytope]]s of Euclidean 4-space, the [[5-cell]] {3,3,3}, 16-cell {3,3,4}, and [[600-cell]] {3,3,5}, and the [[order-6 tetrahedral honeycomb]] {3,3,6} of hyperbolic space.

It is first in a sequence of [[Tetrahedral-octahedral honeycomb#Quasuiregular honeycombs|quasiregular polytopes and honeycombs]] h{4,p,q}, and a [[Order-4 hexagonal tiling honeycomb#Quasiregular honeycombs|half symmetry sequence]], for regular forms {p,3,4}.