h-net: hqc1056

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{6,6}
2D vertex symbol	{4.8.3.3.8.4}{8.8.3.8.8.3}
Delaney-Dress Symbol	<1056.2:9:1 2 3 5 7 8 9,2 4 9 8 7,1 3 6 7 8 9:4 8 3,6 6>
Dual net	hqc1116

Derived s-nets

s-nets with faithful topology

11 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)
	sqc247	btu	Pmmm	47	orthorhombic	{6,6}	3	(2,5)
	sqc248		Pmmm	47	orthorhombic	{6,6}	3	(2,5)
	sqc266		Pmmm	47	orthorhombic	{6,6}	3	(2,5)
	sqc2435		C2/c	15	monoclinic	{6,6}	6	(2,6)
	sqc2636		I212121	24	orthorhombic	{6,6}	6	(2,6)
	sqc2700		C2/c	15	monoclinic	{6,6}	6	(2,6)
	sqc2755		C2/c	15	monoclinic	{6,6}	6	(2,6)
	sqc265		Pmmm	47	orthorhombic	{6,6}	3	(2,5)
	sqc2442		Imma	74	orthorhombic	{6,6}	6	(2,5)
	sqc2701		Imma	74	orthorhombic	{6,6}	6	(2,5)
	sqc2771		Imma	74	orthorhombic	{6,6}	6	(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
	UQC1267	*222222a	(2,5,3)	{6,6}	{4.8.3.3.8.4}{8.8.3.8.8.3}	sqc247	sqc2435	sqc2442
	UQC1268	*222222a	(2,5,3)	{6,6}	{4.8.3.3.8.4}{8.8.3.8.8.3}	sqc248	sqc2700	sqc2701
	UQC1269	*222222b	(2,5,3)	{6,6}	{4.8.3.3.8.4}{8.8.3.8.8.3}	sqc1550	sqc2636	sqc265
	UQC1270	*222222a	(2,5,3)	{6,6}	{4.8.3.3.8.4}{8.8.3.8.8.3}	sqc266	sqc2755	sqc2771

Symmetry-lowered hyperbolic tilings

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