h-net: hqc2123

Topological data

Orbifold symbol	*2244
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,8,16,8}
2D vertex symbol	{3.3.3.3}{3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol	<2123.2:12:2 4 6 8 10 12,3 6 5 9 12 11,1 2 3 4 7 8 9 10 11 12:3 3,4 8 16 8>
Dual net	hqc2015

Derived s-nets

s-nets with faithful topology

5 records listed.

Image	s-net name	Other names	Space group	Space group number	Symmetry class	Vertex degree(s)	Vertices per primitive unit cell	Transitivity (Vertex, Edge)
	sqc10771		P42/mmc	131	tetragonal	{4,8,16,8}	12	(4,5)
	sqc10725		I-42d	122	tetragonal	{4,8,16,8}	12	(4,6)
	sqc10783		I41/a	88	tetragonal	{4,8,16,8}	12	(4,6)
	sqc4966		P-42m	111	tetragonal	{8,4,8,16}	6	(4,5)
	sqc10784		I41/amd	141	tetragonal	{4,8,16,8}	12	(4,5)

s-nets with edge collapse

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Derived U-tilings

2 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC5210	*2244a	(4,5,2)	{4,8,16,8}	{3.3.3.3}{3.3.3.3.3.3.3.3}{3.3.3...	sqc10771	sqc10725	sqc4966
	UQC5211	*2244b	(4,5,2)	{4,8,16,8}	{3.3.3.3}{3.3.3.3.3.3.3.3}{3.3.3...	sqc4226	sqc10783	sqc10784

Symmetry-lowered hyperbolic tilings

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