Infinite-order pentagonal tiling

An infinite-order pentagonal tiling is a regular hyperbolic tiling in which an infinite amount of regular pentagons surround each vertex.

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$\{5,2\}$	$\{5, 3\}$	$\{5,4\}$	$\{5,5\}$	$\{5,6\}$	$\{5,7\}$	$\{5,8\}$	...	$\{5,\infty\}$	$\{5,\frac{\pi i}{\lambda}\}$
Pentagonal dihedron	Dodecahedron	Order-4 pentagonal tiling	Order-5 pentagonal tiling	Order-6 pentagonal tiling	Order-7 pentagonal tiling	Order-8 pentagonal tiling	...	Infinite-order pentagonal tiling	Imaginary-order pentagonal tiling


$\{2,\infty\}$	$\{3,\infty\}$	$\{4,\infty\}$	$\{5,\infty\}$	$\{6,\infty\}$	$\{7,\infty\}$	$\{8,\infty\}$	...	$\{\infty,\infty\}$	$\{\frac{\pi i}{\lambda},\infty\}$
Apeirogonal hosohedron	Infinite-order triangular tiling	Infinite-order square tiling	Infinite-order pentagonal tiling	Infinite-order hexagonal tiling	Infinite-order heptagonal tiling	Infinite-order octagonal tiling	...	Infinite-order apeirogonal tiling	Infinite-order pseudogonal tiling