h-net: hqc1051

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{12,6}
2D vertex symbol	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3.4.4.3}
Delaney-Dress Symbol	<1051.2:9:1 2 3 5 7 8 9,2 4 9 8 7,1 3 6 7 8 9:4 4 3,12 6>
Dual net	hqc1121

Derived s-nets

s-nets with faithful topology

7 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)
	sqc194		Pmmm	47	orthorhombic	{6,12}	2	(2,5)
	sqc2311		I212121	24	orthorhombic	{12,6}	4	(2,6)
	sqc2315		C2/c	15	monoclinic	{12,6}	4	(2,6)
	sqc2353		C2/c	15	monoclinic	{12,6}	4	(2,6)
	sqc2696		C2/c	15	monoclinic	{12,6}	4	(2,6)
	sqc199		Pmmm	47	orthorhombic	{12,6}	2	(2,5)
	sqc2313		Imma	74	orthorhombic	{12,6}	4	(2,5)

s-nets with edge collapse

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Derived U-tilings

4 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC1235	*222222a	(2,5,3)	{12,6}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3....	sqc99	sqc2696	sqc1664
	UQC1236	*222222a	(2,5,3)	{12,6}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3....	sqc194	sqc2353	sqc1185
	UQC1237	*222222b	(2,5,3)	{12,6}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3....	sqc1019	sqc2311	sqc199
	UQC1238	*222222a	(2,5,3)	{12,6}	{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3....	sqc100	sqc2315	sqc2313

Symmetry-lowered hyperbolic tilings

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