List of regular polytopes and compounds
Tessellations of Euclidean 4-space
There are three kinds of infinite regular tessellations (honeycombs) that can tessellate Euclidean four-dimensional space: There are also the two improper cases {4,3,4,2} and {2,4,3,4}.

List of regular polytopes and compounds

Section Title: Tessellations of Euclidean 4-space
Table Section Text: There are three kinds of infinite regular tessellations (honeycombs) that can tessellate Euclidean four-dimensional space: There are also the two improper cases {4,3,4,2} and {2,4,3,4}.

Name	Schläfli Symbol {p,q,r,s}	Facet type {p,q,r}	Cell type {p,q}	Face type {p}	Face figure {s}	Edge figure {r,s}	Vertex figure {q,r,s}	Dual

Tesseractic honeycomb	{4,3,3,4}	{4,3,3}	{4,3}	{4}	{4}	{3,4}	{3,3,4}	Self-dual

16-cell honeycomb	{3,3,4,3}	{3,3,4}	{3,3}	{3}	{3}	{4,3}	{3,4,3}	{3,4,3,3}

24-cell honeycomb	{3,4,3,3}	{3,4,3}	{3,4}	{3}	{3}	{3,3}	{4,3,3}	{3,3,4,3}

Sentence(s)

The tesseractic honeycomb is one of the three regular tessellations (or honeycombs), represented by the Schläfli symbol {4,3,3,4}.

final_sentence: The tesseractic honeycomb is one of the three regular tessellations (or honeycombs), represented by the Schläfli symbol {4,3,3,4}.