h-net: hqc1111

Topological data

Orbifold symbol	*2224
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{3,4,8}
2D vertex symbol	{6.3.6}{6.6.3.3}{6.6.6.6.6.6.6.6}
Vertex coordination sequence	[(3, 5, 16, 73, 259, 841, 2738, 8922, 29030, 94462), (4, 10, 46, 166, 552, 1790, 5830, 18976, 61746), (8, 40, 136, 432, 1408, 4592, 14936, 48600)]
Delaney-Dress Symbol	<1111.2:9:1 3 5 6 8 9,2 7 4 6 9,1 4 5 6 7 8 9:6 3,3 4 8>
Dual net	hqc1060

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)
	sqc8568		I4/mmm	139	tetragonal	{3,4,8}	18	(3,5)
	sqc12585		I41/acd	142	tetragonal	{3,4,8}	36	(3,6)
	sqc12586		I41/acd	142	tetragonal	{3,4,8}	36	(3,6)
	sqc8402		P42/nnm	134	tetragonal	{4,3,8}	18	(3,5)
	sqc8530		P42/nnm	134	tetragonal	{3,4,8}	18	(3,5)

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
	UQC3919	*2224	(3,5,2)	{3,4,8}	{6.3.6}{6.6.3.3}{6.6.6.6.6.6.6.6}	sqc2243	sqc12586	sqc8402
	UQC3920	*2224	(3,5,2)	{3,4,8}	{6.3.6}{6.6.3.3}{6.6.6.6.6.6.6.6}	sqc8568	sqc12585	sqc8530

Symmetry-lowered hyperbolic tilings

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