Snub tetraapeirogonal tiling

Snub tetraapeirogonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic uniform tiling
Vertex configuration	3.3.4.3.∞
Schläfli symbol	sr{∞,4} or $s{\begin{Bmatrix}\infty \\4\end{Bmatrix}}$
Wythoff symbol	\| ∞ 4 2
Coxeter diagram	or
Symmetry group	[∞,4]⁺, (∞42)
Dual	Order-4-infinite floret pentagonal tiling
Properties	Vertex-transitive Chiral

Type

3.3.4.3.∞

sr{∞,4} or

s{\begin{Bmatrix}\infty \\4\end{Bmatrix}}

| ∞ 4 2

[∞,4]⁺, (∞42)

Order-4-infinite floret pentagonal tiling

Properties

Related polyhedra and tiling

The snub tetrapeirogonal tiling is last in an infinite series of snub polyhedra and tilings with vertex figure 3.3.4.3.n.

More information Symmetry 4n2, Spherical ...

4n2 symmetry mutations of snub tilings: 3.3.4.3.n v t e
Symmetry 4n2	Spherical	Euclidean	Compact hyperbolic	Paracomp.
242	342	442	542	642	742	842	∞42
Snub figures
Config.	3.3.4.3.2	3.3.4.3.3	3.3.4.3.4	3.3.4.3.5	3.3.4.3.6	3.3.4.3.7	3.3.4.3.8	3.3.4.3.∞
Gyro figures
Config.	V3.3.4.3.2	V3.3.4.3.3	V3.3.4.3.4	V3.3.4.3.5	V3.3.4.3.6	V3.3.4.3.7	V3.3.4.3.8	V3.3.4.3.∞

More information Dual figures, Alternations ...

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Paracompact uniform tilings in [∞,4] family v t e


{∞,4}	t{∞,4}	r{∞,4}	2t{∞,4}=t{4,∞}	2r{∞,4}={4,∞}	rr{∞,4}	tr{∞,4}
Dual figures


V∞⁴	V4.∞.∞	V(4.∞)²	V8.8.∞	V4^∞	V4³.∞	V4.8.∞
Alternations
[1⁺,∞,4] (*44∞)	[∞⁺,4] (∞*2)	[∞,1⁺,4] (*2∞2∞)	[∞,4⁺] (4*∞)	[∞,4,1⁺] (*∞∞2)	[(∞,4,2⁺)] (2*2∞)	[∞,4]⁺ (∞42)
=				=
h{∞,4}	s{∞,4}	hr{∞,4}	s{4,∞}	h{4,∞}	hrr{∞,4}	s{∞,4}

Alternation duals


V(∞.4)⁴	V3.(3.∞)²	V(4.∞.4)²	V3.∞.(3.4)²	V∞^∞	V∞.4⁴	V3.3.4.3.∞

Images