h-net: hqc2041

Topological data

Orbifold symbol	*2244
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{8,4,4,8}
2D vertex symbol	{6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol	<2041.2:12:1 3 5 7 9 11 12,2 4 12 8 11 10,1 2 3 6 7 8 9 10 11 12:6 3,8 4 4 8>
Dual net	hqc2007

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)
	sqc10753		P4/nmm	129	tetragonal	{8,4,4,8}	20	(4,6)
	sqc10727		I41/a	88	tetragonal	{8,4,4,8}	20	(4,7)
	sqc10728		I-42d	122	tetragonal	{8,4,4,8}	20	(4,7)
	sqc4783		P-42m	111	tetragonal	{4,4,8,8}	10	(4,6)
	sqc10729		I41/amd	141	tetragonal	{8,4,4,8}	20	(4,6)

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
	UQC5163	*2244b	(4,6,2)	{8,4,4,8}	{6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3...	sqc10753	sqc10727	sqc10729
	UQC5164	*2244a	(4,6,2)	{8,4,4,8}	{6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3...	sqc10684	sqc10728	sqc4783

Symmetry-lowered hyperbolic tilings

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