h-net: hqc1176

Topological data

Orbifold symbol	*2224
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{16,6,4}
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}
Vertex coordination sequence	[(16, 64, 312, 1296, 5824, 25168, 110856), (6, 48, 184, 886, 3704, 16586, 71800), (4, 28, 116, 554, 2342, 10430, 45270)]
Delaney-Dress Symbol	<1176.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,16 6 4>
Dual net	hqc1005

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)
	sqc8604		I4/mmm	139	tetragonal	{16,4,6}	10	(3,4)
	sqc12579		I41/acd	142	tetragonal	{16,6,4}	20	(3,5)
	sqc12580		I41/acd	142	tetragonal	{16,6,4}	20	(3,5)
	sqc8532		P42/nnm	134	tetragonal	{4,6,16}	10	(3,4)
	sqc8636		P42/nnm	134	tetragonal	{16,6,4}	10	(3,4)

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
	UQC4065	*2224	(3,4,2)	{16,6,4}	{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3...	sqc8604	sqc12580	sqc8532
	UQC4066	*2224	(3,4,2)	{16,6,4}	{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3...	sqc2220	sqc12579	sqc8636

Symmetry-lowered hyperbolic tilings

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