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In geometry, the infinite-order apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,∞}, which means it has an infinite number of apeirogons around all its ideal vertices.
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Symmetry
This tiling represents the fundamental domains of *∞∞ symmetry.
Uniform colorings
This tiling can also be alternately colored in the [(∞,∞,∞)] symmetry from 3 generator positions.
Related polyhedra and tiling
The union of this tiling and its dual can be seen as orthogonal red and blue lines here, and combined define the lines of a *2∞2∞ fundamental domain.
a{∞,∞} or = ∪References
Infinite-order apeirogonal tiling Wikipedia(Text) CC BY-SA