h-net: hqc1053

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{6,6}
2D vertex symbol	{4.4.6.6.4.4}{4.4.6.4.4.6}
Delaney-Dress Symbol	<1053.2:9:1 2 3 5 7 8 9,2 4 9 8 7,1 3 6 7 8 9:4 4 6,6 6>
Dual net	hqc1117

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)
	sqc247	btu	Pmmm	47	orthorhombic	{6,6}	3	(2,5)
	sqc2434		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2715		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2444		C2/c	15	monoclinic	{6,6}	6	(2,6)
	sqc2456		C2/c	15	monoclinic	{6,6}	6	(2,6)
	sqc2579		I212121	24	orthorhombic	{6,6}	6	(2,6)
	sqc2690		C2/c	15	monoclinic	{6,6}	6	(2,6)
	sqc250		Cmmm	65	orthorhombic	{6,6}	3	(2,4)
	sqc289		P222	16	orthorhombic	{6,6}	3	(2,5)
	sqc2438		Imma	74	orthorhombic	{6,6}	6	(2,5)
	sqc2740		Imma	74	orthorhombic	{6,6}	6	(2,5)

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
	UQC1249	*222222a	(2,5,3)	{6,6}	{4.4.6.6.4.4}{4.4.6.4.4.6}	sqc2434	sqc2444	sqc2438
	UQC1250	*222222a	(2,5,3)	{6,6}	{4.4.6.6.4.4}{4.4.6.4.4.6}	sqc2715	sqc2456	sqc250
	UQC1251	*222222a	(2,5,3)	{6,6}	{4.4.6.6.4.4}{4.4.6.4.4.6}	sqc247	sqc2690	sqc2740
	UQC1252	*222222b	(2,5,3)	{6,6}	{4.4.6.6.4.4}{4.4.6.4.4.6}	sqc1542	sqc2579	sqc289

Symmetry-lowered hyperbolic tilings

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