h-net: hqc264

Topological data

Orbifold symbol	*2224
Transitivity (vertex, edge, ring)	(2,3,2)
Vertex degrees	{6,12}
2D vertex symbol	{3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence	[(6, 36, 138, 648, 2742, 12204, 52986), (12, 48, 228, 960, 4284, 18576, 81684)]
Delaney-Dress Symbol	<264.2:6:1 3 5 6,2 3 4 6,1 4 5 6:3 3,6 12>
Dual net	hqc279

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)
	sqc5070		I4/mmm	139	tetragonal	{6,12}	6	(2,3)
	sqc10719		I41/acd	142	tetragonal	{6,12}	12	(2,4)
	sqc10722		I41/acd	142	tetragonal	{6,12}	12	(2,4)
	sqc5078		P42/nnm	134	tetragonal	{6,12}	6	(2,3)
	sqc5091		P42/nnm	134	tetragonal	{6,12}	6	(2,3)

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
	UQC225	*2224	(2,3,2)	{6,12}	{3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3....	sqc5070	sqc10722	sqc5078
	UQC226	*2224	(2,3,2)	{6,12}	{3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3....	sqc592	sqc10719	sqc5091

Symmetry-lowered hyperbolic tilings

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