Imaginary-order apeirogonal tiling

An imaginary-order apeirogonal tiling is a regular hyperbolic tiling with apeirogonal faces and pseudogonal vertex figures.

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


$\{2,\frac{\pi i}{\lambda}\}$	$\{3,\frac{\pi i}{\lambda}\}$	$\{4, \frac{\pi i}{\lambda}\}$	$\{5,\frac{\pi i}{\lambda}\}$	$\{6,\frac{\pi i}{\lambda}\}$	$\{7,\frac{\pi i}{\lambda}\}$	$\{8,\frac{\pi i}{\lambda}\}$	...	$\{\infty,\frac{\pi i}{\lambda}\}$	$\{\frac{\pi i}{\lambda_1},\frac{\pi i}{\lambda_2}\}$
Pseudogonal hosohedron	Imaginary-order triangular tiling	Imaginary-order square tiling	Imaginary-order pentagonal tiling	Imaginary-order hexagonal tiling	Imaginary-order heptagonal tiling	Imaginary-order octagonal tiling	...	Imaginary-order apeirogonal tiling	Imaginary-order pseudogonal tiling