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Truncated order-4 pentagonal tiling

In geometry, the truncated order-4 pentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t<sub>0,1</sub>{5,4}.

Uniform colorings

A half symmetry [1+,4,5] = [5,5] coloring can be constructed with two colors of decagons. This coloring is called a truncated pentapentagonal tiling.

Symmetry

There is only one subgroup of [5,5], [5,5]<sup>+</sup>, removing all the mirrors. This symmetry can be doubled to 542 symmetry by adding a bisecting mirror.

Related polyhedra and tiling

References

  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)

See also

External links