Rahul Sharma (Editor)

Infinite order pentagonal tiling

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
Infinite-order pentagonal tiling

In 2-dimensional hyperbolic geometry, the infinite-order pentagonal tiling is a regular tiling. It has Schläfli symbol of {5,∞}. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection.

Contents

Symmetry

There is a half symmetry form, , seen with alternating colors:

This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (5n).

References

Infinite-order pentagonal tiling Wikipedia