h-net: hqc1780

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,4,3,4}
2D vertex symbol	{5.5.5.5}{5.12.12.5}{5.12.12}{12.12.12.12}
Delaney-Dress Symbol	<1780.2:11:1 3 5 7 8 10 11,2 4 5 8 9 11,1 2 3 6 7 8 9 10 11:5 12,4 4 3 4>
Dual net	hqc1692

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)
	sqc662		Pmmm	47	orthorhombic	{4,4,3,4}	6	(4,6)
	sqc4568		Cmma	67	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4668		Cmma	67	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4491		C2/c	15	monoclinic	{4,4,3,4}	12	(4,7)
	sqc4496		I212121	24	orthorhombic	{4,4,3,4}	12	(4,7)
	sqc4503		C2/c	15	monoclinic	{4,4,3,4}	12	(4,7)
	sqc4670		C2/c	15	monoclinic	{4,4,3,4}	12	(4,7)
	sqc666		P222	16	orthorhombic	{3,4,4,4}	6	(4,6)
	sqc4198		Imma	74	orthorhombic	{4,3,4,4}	12	(4,6)
	sqc4492		Imma	74	orthorhombic	{4,4,3,4}	12	(4,6)
	sqc4506		Imma	74	orthorhombic	{4,4,3,4}	12	(4,6)

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
	UQC4867	*222222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.12.12.5}{5.12.12}{12...	sqc662	sqc4503	sqc4506
	UQC4868	*222222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.12.12.5}{5.12.12}{12...	sqc4668	sqc4670	sqc4198
	UQC4869	*222222b	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.12.12.5}{5.12.12}{12...	sqc3839	sqc4496	sqc666
	UQC4870	*222222a	(4,6,2)	{4,4,3,4}	{5.5.5.5}{5.12.12.5}{5.12.12}{12...	sqc4568	sqc4491	sqc4492

Symmetry-lowered hyperbolic tilings

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