h-net: hqc2207

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,7,2)
Vertex degrees	{3,4,4,4,4}
2D vertex symbol	{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7.7}{6.6.6.6}
Delaney-Dress Symbol	<2207.2:13:1 3 5 7 9 10 12 13,2 11 4 6 8 10 13,1 4 5 6 7 8 9 10 11 12 13:6 7,3 4 4 4 4>
Dual net	hqc2163

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)
	sqc5761		Cmma	67	orthorhombic	{3,4,4,4,4}	14	(5,7)
	sqc6101		Cmma	67	orthorhombic	{3,4,4,4,4}	14	(5,7)
	sqc14555		Pmmm	47	orthorhombic	{4,4,3,4,4}	7	(5,7)
	sqc5878		I212121	24	orthorhombic	{3,4,4,4,4}	14	(5,8)
	sqc5883		C2/c	15	monoclinic	{3,4,4,4,4}	14	(5,8)
	sqc5903		C2/c	15	monoclinic	{3,4,4,4,4}	14	(5,8)
	sqc6090		C2/c	15	monoclinic	{3,4,4,4,4}	14	(5,8)
	sqc1047		P222	16	orthorhombic	{4,4,4,4,3}	7	(5,7)
	sqc5886		Imma	74	orthorhombic	{3,4,4,4,4}	14	(5,7)
	sqc5905		Imma	74	orthorhombic	{3,4,4,4,4}	14	(5,7)
	sqc6089		Imma	74	orthorhombic	{3,4,4,4,4}	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
	UQC5537	*222222a	(5,7,2)	{3,4,4,4,4}	{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7....	sqc14555	sqc6090	sqc6089
	UQC5538	*222222a	(5,7,2)	{3,4,4,4,4}	{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7....	sqc5761	sqc5903	sqc5905
	UQC5539	*222222a	(5,7,2)	{3,4,4,4,4}	{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7....	sqc6101	sqc5883	sqc5886
	UQC5540	*222222b	(5,7,2)	{3,4,4,4,4}	{6.7.6}{6.6.7.7}{7.7.7.7}{7.7.7....	sqc5304	sqc5878	sqc1047

Symmetry-lowered hyperbolic tilings

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