h-net: hqc2205

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,7,2)
Vertex degrees	{4,4,3,4,4}
2D vertex symbol	{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8.8}{8.8.8.8}
Delaney-Dress Symbol	<2205.2:13:1 3 5 7 9 10 12 13,2 4 5 8 11 10 13,1 2 3 6 7 8 9 10 11 12 13:5 8,4 4 3 4 4>
Dual net	hqc2193

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)
	sqc1078		Pmmm	47	orthorhombic	{4,4,3,4,4}	7	(5,7)
	sqc5707		Cmma	67	orthorhombic	{4,4,3,4,4}	14	(5,7)
	sqc6103		Cmma	67	orthorhombic	{4,4,3,4,4}	14	(5,7)
	sqc5901		C2/c	15	monoclinic	{4,4,3,4,4}	14	(5,8)
	sqc5904		I212121	24	orthorhombic	{4,4,3,4,4}	14	(5,8)
	sqc5912		C2/c	15	monoclinic	{4,4,3,4,4}	14	(5,8)
	sqc6096		C2/c	15	monoclinic	{4,4,3,4,4}	14	(5,8)
	sqc1081		P222	16	orthorhombic	{4,4,4,3,4}	7	(5,7)
	sqc1082		Cmmm	65	orthorhombic	{3,4,4,4}	7	(4,5)
	sqc5902		Imma	74	orthorhombic	{4,4,3,4,4}	14	(5,7)
	sqc5914		Imma	74	orthorhombic	{4,4,3,4,4}	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
	UQC5529	*222222a	(5,7,2)	{4,4,3,4,4}	{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8....	sqc5707	sqc5912	sqc5914
	UQC5530	*222222a	(5,7,2)	{4,4,3,4,4}	{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8....	sqc1078	sqc5901	sqc5902
	UQC5531	*222222a	(5,7,2)	{4,4,3,4,4}	{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8....	sqc6103	sqc6096	sqc1082
	UQC5532	*222222b	(5,7,2)	{4,4,3,4,4}	{5.5.5.5}{5.8.8.5}{5.8.8}{8.8.8....	sqc4734	sqc5904	sqc1081

Symmetry-lowered hyperbolic tilings

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