| Apeirogonal antiprism | |
|---|---|
| Type | Regular tiling |
| Vertex configuration | 3.3.3.∞ |
| Schläfli symbol(s) | s{2,∞} |
| Wythoff symbol(s) | | 2 2 ∞ |
| Coxeter-Dynkin(s) | |
| Symmetry | 22, [∞,2+,2], ∞2 |
| Dual | Pentagonal row |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
3.3.3.∞ |
|
In geometry, an apeirogonal antiprism or infinite antiprism is the arithmetic limit of the family of antiprisms; it can be considered an infinite polyhedron or a tiling of the plane.
If the sides are equilateral triangles, it is a uniform tiling. In general, it can have two sets of alternating congruent isosceles triangles, surrounded by two half-planes.
It can be constructed by an alternation operation applied to an apeirogonal prism: