h-net: hqc2221

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{8,6,4,4,4}
2D vertex symbol	{3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5}
Delaney-Dress Symbol	<2221.2:13:1 3 5 7 9 11 13,2 3 6 13 8 10 12,1 4 5 6 7 8 9 10 11 12 13:3 5,8 6 4 4 4>
Dual net	hqc2132

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)
	sqc1006		Pmmm	47	orthorhombic	{8,4,4,4,6}	5	(5,6)
	sqc1007		Pmmm	47	orthorhombic	{8,4,4,4,6}	5	(5,6)
	sqc1088		Pmmm	47	orthorhombic	{4,8,6,4,4}	5	(5,6)
	sqc5646		C2/c	15	monoclinic	{8,6,4,4,4}	10	(5,7)
	sqc5740		C2/c	15	monoclinic	{8,6,4,4,4}	10	(5,7)
	sqc5808		C2/c	15	monoclinic	{8,6,4,4,4}	10	(5,7)
	sqc5931		I212121	24	orthorhombic	{8,6,4,4,4}	10	(5,7)
	sqc1008		Pmmm	47	orthorhombic	{4,6,8,4,4}	5	(5,6)
	sqc5647		Imma	74	orthorhombic	{8,6,4,4,4}	10	(5,6)
	sqc5766		Imma	74	orthorhombic	{8,6,4,4,4}	10	(5,6)
	sqc5809		Imma	74	orthorhombic	{8,6,4,4,4}	10	(5,6)

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
	UQC5581	*222222a	(5,6,2)	{8,6,4,4,4}	{3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5...	sqc1088	sqc5646	sqc5647
	UQC5582	*222222b	(5,6,2)	{8,6,4,4,4}	{3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5...	sqc5613	sqc5931	sqc1008
	UQC5583	*222222a	(5,6,2)	{8,6,4,4,4}	{3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5...	sqc1007	sqc5740	sqc5766
	UQC5584	*222222a	(5,6,2)	{8,6,4,4,4}	{3.5.5.3.3.5.5.3}{3.5.5.3.5.5}{5...	sqc1006	sqc5808	sqc5809

Symmetry-lowered hyperbolic tilings

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