Editing 16-cell (section)

== Tessellations ==
One can [[tessellation|tessellate]] 4-dimensional [[Euclidean space]] by regular 16-cells. This is called the [[16-cell honeycomb]] and has [[Schläfli symbol]] {3,3,4,3}. Hence, the 16-cell has a [[dihedral angle]] of 120°.{{sfn|Coxeter|1973|p=293}} Each 16-cell has 16 neighbors with which it shares a tetrahedron, 24 neighbors with which it shares only an edge, and 72 neighbors with which it shares only a single point. Twenty-four 16-cells meet at any given vertex in this tessellation.

The dual tessellation, the [[24-cell honeycomb]], {3,4,3,3}, is made of regular [[24-cell]]s. Together with the [[tesseractic honeycomb]] {4,3,3,4} these are the only three [[List of regular polytopes#Tessellations of Euclidean 4-space|regular tessellations]] of '''R'''<sup>4</sup>.