5-orthoplex honeycomb

class="wikitable" align="right" style="margin-left:10px" width="250" !bgcolor=#e7dcc3 colspan=2|5-orthoplex honeycomb
bgcolor=#ffffff align=center colspan=2|(No image)
bgcolor=#e7dcc3|Type	Hyperbolic regular honeycomb
bgcolor=#e7dcc3|Schläfli symbol	{3,3,3,4,3}
bgcolor=#e7dcc3|Coxeter diagram	{{CDD|node_1|3|node|3|node|3|node|4|node|3|node}} {{CDD|node_1|3|node|3|node|splitsplit1|branch3|node}} = {{CDD|node_1|3|node|3|node|3|node|4|node_g|3sg|node_g}}
bgcolor=#e7dcc3|5-faces	50px {3,3,3,4}
bgcolor=#e7dcc3|4-faces	50px {3,3,3}
bgcolor=#e7dcc3|Cells	50px {3,3}
bgcolor=#e7dcc3|Faces	50px {3}
bgcolor=#e7dcc3|Cell figure	50px {3}
bgcolor=#e7dcc3|Face figure	50px {4,3}
bgcolor=#e7dcc3|Edge figure	50px {3,4,3}
bgcolor=#e7dcc3|Vertex figure	50px {3,3,4,3}
bgcolor=#e7dcc3|Dual	24-cell honeycomb honeycomb
bgcolor=#e7dcc3|Coxeter group	{{overline|U}}5, [3,3,3,4,3]
bgcolor=#e7dcc3|Properties	Regular

In the geometry of hyperbolic 5-space, the 5-orthoplex honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is paracompact because it has infinite vertex figures, with all vertices as ideal points at infinity. With Schläfli symbol {3,3,3,4,3}, it has three 5-orthoplexes around each cell. It is dual to the 24-cell honeycomb honeycomb.