Pentaapeirogonal tiling

pentaapeirogonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex figure5..5.
Schläfli symbolr{,5}
Wythoff symbol2 | 5
Coxeter diagram
Symmetry group[,5], (*52)
DualOrder-5-infinite rhombille tiling
PropertiesVertex-transitive edge-transitive

In geometry, the pentaapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r{∞,5}.

Related polyhedra and tiling

Dimensional family of quasiregular polyhedra and tilings: 5.n.5.n
Symmetry
*5n2
[n,5]
Spherical Hyperbolic... Paracompact Noncompact
*352
[3,5]
*452
[4,5]
*552
[5,5]
*652
[6,5]
*752
[7,5]
*852
[8,5]...
*52
[,5]
 
[iπ/λ,5]
Coxeter
Quasiregular
figures
configuration

5.3.5.3

5.4.5.4

5.5.5.5

5.6.5.6

5.7.5.7

5.8.5.8

5..5.
 
5..5.
Dual figures
Coxeter
Dual
(rhombic)
figures
configuration

V5.3.5.3

V5.4.5.4

V5.5.5.5

V5.6.5.6

V5.7.5.7

V5.8.5.8

V5..5.
V5..5.

See also

Wikimedia Commons has media related to Uniform tiling 5-i-5-i.

References

    • John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 19, The Hyperbolic Archimedean Tessellations)
    • "Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678.

    External links