Rhombitetraheptagonal tiling explained

In geometry, the rhombitetraheptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of rr. It can be seen as constructed as a rectified tetraheptagonal tiling, r, as well as an expanded order-4 heptagonal tiling or expanded order-7 square tiling.

Dual tiling

The dual is called the deltoidal tetraheptagonal tiling with face configuration V.4.4.4.7.

References

• John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)
• Book: The Beauty of Geometry: Twelve Essays. 1999. Dover Publications. 99035678. 0-486-40919-8. Chapter 10: Regular honeycombs in hyperbolic space.

See also

• Uniform tilings in hyperbolic plane
• List of regular polytopes

External links

• • • Hyperbolic and Spherical Tiling Gallery
• KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
• Hyperbolic Planar Tessellations, Don Hatch