| Apeirogonal prism | |
|---|---|
| Type | Regular tiling |
| Vertex configuration | 4.4.∞ |
| Schläfli symbol(s) | t{2,∞} |
| Wythoff symbol(s) | 2 ∞ | 2 |
| Coxeter-Dynkin(s) | |
| Symmetry | *22 [∞,2,2], *∞2 |
| Dual | Rectangular double row |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
4.4.∞ |
|
In geometry, an apeirogonal prism or infinite prism is the arithmetic limit of the family of prisms; it can be considered an infinite polyhedron or a tiling of the plane.
Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard.
If the sides are squares, it is a uniform tiling. In general, it can have two sets of alternating congruent rectangles.
An alternation operation can create an apeirogonal antiprism composed of three triangles and one apeirogon at each vertex.