Order-3 pseudogonal tiling

Order-3 pseudogonal tiling
'"`UNIQ--postMath-00000001-QINU`"'
Dimensionality	H2 tiling
Schläfli Symbol	'"`UNIQ--postMath-00000002-QINU`"'
Subfacets
Vertices	ℵ0 points
Edges	ℵ0 line segments
Faces	ℵ0 '"`UNIQ--postMath-00000003-QINU`"' pseudogons
Cells	1 order-3 pseudogonal tiling

An order-3 pseudogonal tiling is a regular hyperbolic tiling constructed from joining three pseudogons of the same symmetry to a vertex.

The dual of an order-3 pseudogonal tiling is an imaginary-order triangular tiling.

Gallery

$\{12i, 3\}$

$\{11i, 3\}$

$\{10i, 3\}$

$\{9i,3\}$

$\{8i, 3\}$

$\{7i, 3\}$

$\{6i,3\}$

$\{5i, 3\}$

$\{4i, 3\}$

$\{3i,3\}$

$\{2i, 3\}$

$\{i, 3\}$

See Also

$\{2,3\}$	$\{3, 3\}$	$\{4,3\}$	$\{5, 3\}$	$\{6,3\}$	$\{7,3\}$	$\{8,3\}$	...	$\{\infty,3\}$	$\{\frac{\pi i}{\lambda},3$
Trigonal hosohedron	Tetrahedron	Cube	Dodecahedron	Hexagonal tiling	Order-3 heptagonal tiling	Order-3 octagonal tiling	...	Order-3 apeirogonal tiling	Order-3 pseudogonal tiling

$\{\frac{\pi i}{\lambda},2\}$	$\{\frac{\pi i}{\lambda},3\}$	$\{\frac{\pi i}{\lambda},4\}$	$\{\frac{\pi i}{\lambda},5\}$	$\{\frac{\pi i}{\lambda},6\}$	$\{\frac{\pi i}{\lambda}, 7\}$	$\{\frac{\pi i}{\lambda}, 8\}$	...	$\{\frac{\pi i}{\lambda},\infty\}$	$\{\frac{\pi i}{\lambda_1},\frac{\pi i}{\lambda_2}\}$
Pseudogonal dihedron	Order-3 pseudogonal tiling	Order-4 pseudogonal tiling	Order-5 pseudogonal tiling	Order-6 pseudogonal tiling	Order-7 pseudogonal tiling	Order-8 pseudogonal tiling	...	Infinite-order pseudogonal tiling	Imaginary-order pseudogonal tiling

Regular $t_0 \{\frac{\pi i}{\lambda},3\}$	Rectified $t_1 \{\frac{\pi i}{\lambda},3\}$	Birectified $t_2 \{\frac{\pi i}{\lambda},3\}$	Truncated $t_{0,1} \{\frac{\pi i}{\lambda},3\}$	Bitruncated $t_{1,2} \{\frac{\pi i}{\lambda},3\}$	Cantellated $t_{0,2} \{\frac{\pi i}{\lambda},3\}$	Cantitruncated $t_{0,1,2} \{\frac{\pi i}{\lambda},3\}$
Order-3 pseudogonal tiling	Tripseudogonal tiling	Imaginary-order triangular tiling	Truncated order-3 pseudogonal tiling	Truncated imaginary-order triangular tiling	Rhombitripseudogonal tiling	Truncated tripseudogonal tiling