h-net: hqc2206

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,7,2)
Vertex degrees	{4,4,4,3,4}
2D vertex symbol	{7.7.7.7}{7.7.7.7}{7.6.6.7}{7.6.6}{6.6.6.6}
Delaney-Dress Symbol	<2206.2:13:1 3 5 7 9 10 12 13,2 4 6 7 10 11 13,1 2 3 4 5 8 9 10 11 12 13:7 6,4 4 4 3 4>
Dual net	hqc2170

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)
	sqc5708		Cmma	67	orthorhombic	{4,4,4,3,4}	14	(5,7)
	sqc6092		Cmma	67	orthorhombic	{4,4,4,3,4}	14	(5,7)
	sqc5875		C2/c	15	monoclinic	{4,4,4,3,4}	14	(5,8)
	sqc5876		I212121	24	orthorhombic	{4,4,4,3,4}	14	(5,8)
	sqc5915		C2/c	15	monoclinic	{4,4,4,3,4}	14	(5,8)
	sqc6088		C2/c	15	monoclinic	{4,4,4,3,4}	14	(5,8)
	sqc1042		P222	16	orthorhombic	{3,4,4,4,4}	7	(5,7)
	sqc5873		Imma	74	orthorhombic	{4,4,4,3,4}	14	(5,7)
	sqc5916		Imma	74	orthorhombic	{4,4,4,3,4}	14	(5,7)
	sqc6084		Imma	74	orthorhombic	{4,4,4,3,4}	14	(5,7)

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
	UQC5533	*222222a	(5,7,2)	{4,4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.6.6.7}{7.6....	No s‑net	sqc5915	sqc5916
	UQC5534	*222222a	(5,7,2)	{4,4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.6.6.7}{7.6....	sqc5708	sqc6088	sqc6084
	UQC5535	*222222a	(5,7,2)	{4,4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.6.6.7}{7.6....	sqc6092	sqc5875	sqc5873
	UQC5536	*222222b	(5,7,2)	{4,4,4,3,4}	{7.7.7.7}{7.7.7.7}{7.6.6.7}{7.6....	sqc5303	sqc5876	sqc1042

Symmetry-lowered hyperbolic tilings

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