| Order-4 square hosohedral honeycomb | |
|---|---|
 Centrally projected onto a sphere | |
| Type | Degenerate regular honeycomb |
| Schläfli symbol | {2,4,4} |
| Coxeter diagrams |     
|
| Cells | {2,4} 
|
| Faces | {2} |
| Edge figure | {4} |
| Vertex figure | {4,4}
|
| Dual | Order-2 square tiling honeycomb |
| Coxeter group | [2,4,4] |
| Properties | Regular |
In geometry, the order-4 square hosohedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {2,4,4}. It has 4 square hosohedra {2,4} around each edge. In other words, it is a packing of infinitely tall square columns. It is a degenerate honeycomb in Euclidean space, but can be seen as a projection onto the sphere. Its vertex figure, a square tiling is seen on each hemisphere.