Infinite-order hexagonal tiling

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

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