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| Order-7 cubic honeycomb | |
|---|---|
| Type | Regular honeycomb |
| Schläfli symbols | {4,3,7} |
| Coxeter diagrams |     
|
| Cells | {4,3} 
|
| Faces | {4} |
| Edge figure | {7} |
| Vertex figure | {3,7}
|
| Dual | {7,3,4} |
| Coxeter group | [4,3,7] |
| Properties | Regular |
In the geometry of hyperbolic 3-space, the order-7 cubic honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {4,3,7}, it has seven cubes {4,3} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many cubes existing around each vertex in an order-7 triangular tiling vertex arrangement.