h-net: hqc2331

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(6,7,2)
Vertex degrees	{4,3,3,4,4,4}
2D vertex symbol	{5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9}
Delaney-Dress Symbol	<2331.2:14:1 3 5 7 9 11 13 14,2 4 5 6 8 10 12 14,1 2 3 6 7 8 9 10 11 12 13 14:5 9,4 3 3 4 4 4>
Dual net	hqc2274

Derived s-nets

s-nets with faithful topology

10 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)
	sqc1215		Pmmm	47	orthorhombic	{3,4,3,4,4,4}	8	(6,7)
	sqc1218		Pmmm	47	orthorhombic	{4,4,4,3,3,4}	8	(6,7)
	sqc6600		C2/c	15	monoclinic	{4,3,3,4,4,4}	16	(6,8)
	sqc6609		I212121	24	orthorhombic	{4,3,3,4,4,4}	16	(6,8)
	sqc6841		C2/c	15	monoclinic	{4,3,3,4,4,4}	16	(6,8)
	sqc6894		C2/c	15	monoclinic	{4,3,3,4,4,4}	16	(6,8)
	sqc6602		Imma	74	orthorhombic	{4,3,3,4,4,4}	16	(6,7)
	sqc6837		Imma	74	orthorhombic	{4,3,3,4,4,4}	16	(6,7)
	sqc6899		Imma	74	orthorhombic	{4,3,3,4,4,4}	16	(6,7)

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
	UQC5861	*222222a	(6,7,2)	{4,3,3,4,4,4}	{5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}...	No s‑net	sqc6841	sqc6837
	UQC5862	*222222a	(6,7,2)	{4,3,3,4,4,4}	{5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}...	sqc1215	sqc6894	sqc6899
	UQC5863	*222222a	(6,7,2)	{4,3,3,4,4,4}	{5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}...	sqc1218	sqc6600	sqc6602
	UQC5864	*222222b	(6,7,2)	{4,3,3,4,4,4}	{5.5.5.5}{5.9.5}{5.9.9}{9.9.9.9}...	No s‑net	sqc6609	No s‑net

Symmetry-lowered hyperbolic tilings

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