h-net: hqc2038

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,8,8,4}
2D vertex symbol	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3.3.6.6.3.3}{3.3.3.3}
Delaney-Dress Symbol	<2038.2:12:1 3 5 7 9 11 12,2 4 12 8 11 10,1 2 3 6 7 8 9 10 11 12:6 3,4 8 8 4>
Dual net	hqc2004

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)
	sqc770		Pmmm	47	orthorhombic	{8,8,4,4}	4	(4,6)
	sqc771		Pmmm	47	orthorhombic	{8,8,4,4}	4	(4,6)
	sqc883		Pmmm	47	orthorhombic	{4,8,8,4}	4	(4,6)
	sqc4804		C2/c	15	monoclinic	{4,8,8,4}	8	(4,7)
	sqc5121		C2/c	15	monoclinic	{4,8,8,4}	8	(4,7)
	sqc5148		C2/c	15	monoclinic	{4,8,8,4}	8	(4,7)
	sqc5214		I212121	24	orthorhombic	{4,8,8,4}	8	(4,7)
	sqc769		Pmmm	47	orthorhombic	{4,4,8,8}	4	(4,6)
	sqc4832		Imma	74	orthorhombic	{4,8,8,4}	8	(4,6)
	sqc5120		Imma	74	orthorhombic	{4,8,8,4}	8	(4,6)
	sqc5128		Imma	74	orthorhombic	{4,8,8,4}	8	(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
	UQC5156	*222222a	(4,6,2)	{4,8,8,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc883	sqc5121	sqc5120
	UQC5157	*222222a	(4,6,2)	{4,8,8,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc770	sqc4804	sqc4832
	UQC5158	*222222b	(4,6,2)	{4,8,8,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc4382	sqc5214	sqc769
	UQC5159	*222222a	(4,6,2)	{4,8,8,4}	{6.6.6.6}{6.3.3.6.6.3.3.6}{6.6.3...	sqc771	sqc5148	sqc5128

Symmetry-lowered hyperbolic tilings

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