h-net: hqc1781

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,4,3,4}
2D vertex symbol	{10.10.10.10}{10.6.6.10}{10.6.6}{6.6.6.6}
Delaney-Dress Symbol	<1781.2:11:1 3 5 7 8 10 11,2 4 5 8 9 11,1 2 3 6 7 8 9 10 11:10 6,4 4 3 4>
Dual net	hqc1691

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)
	sqc4187		Cmma	67	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4686		Cmma	67	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4489		I212121	24	orthorhombic	{4,4,3,4}	12	(4,7)
	sqc4498		C2/c	15	monoclinic	{4,4,3,4}	12	(4,7)
	sqc4675		C2/c	15	monoclinic	{4,4,3,4}	12	(4,7)
	sqc4685		C2/c	15	monoclinic	{4,4,3,4}	12	(4,7)
	sqc655		P222	16	orthorhombic	{4,3,4,4}	6	(4,6)
	sqc4497		Imma	74	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4565		Imma	74	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4664		Imma	74	orthorhombic	{4,4,3,4}	12	(4,6)

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
	UQC4871	*222222a	(4,6,2)	{4,4,3,4}	{10.10.10.10}{10.6.6.10}{10.6.6}...	sqc4187	sqc4675	sqc4664
	UQC4872	*222222a	(4,6,2)	{4,4,3,4}	{10.10.10.10}{10.6.6.10}{10.6.6}...	sqc4686	sqc4685	sqc4565
	UQC4873	*222222a	(4,6,2)	{4,4,3,4}	{10.10.10.10}{10.6.6.10}{10.6.6}...	No s‑net	sqc4498	sqc4497
	UQC4874	*222222b	(4,6,2)	{4,4,3,4}	{10.10.10.10}{10.6.6.10}{10.6.6}...	sqc3706	sqc4489	sqc655

Symmetry-lowered hyperbolic tilings

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