h-net: hqc552

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(3,3,2)
Vertex degrees	{4,6,4}
2D vertex symbol	{10.10.10.10}{10.4.10.10.4.10}{10.4.10.4}
Delaney-Dress Symbol	<552.2:7:1 3 5 7,2 4 5 6 7,1 2 3 6 7:10 4,4 6 4>
Dual net	hqc364

Derived s-nets

s-nets with faithful topology

9 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)
	sqc67		Pmmm	47	orthorhombic	{4,4,6}	3	(3,3)
	sqc72		Pmmm	47	orthorhombic	{4,4,6}	3	(3,3)
	sqc1293		C2/c	15	monoclinic	{4,6,4}	6	(3,4)
	sqc1329		C2/c	15	monoclinic	{4,6,4}	6	(3,4)
	sqc1333		I212121	24	orthorhombic	{4,6,4}	6	(3,4)
	sqc1334		C2/c	15	monoclinic	{4,6,4}	6	(3,4)
	sqc1311		Imma	74	orthorhombic	{4,6,4}	6	(3,3)
	sqc1354		Imma	74	orthorhombic	{4,6,4}	6	(3,3)
	sqc1358		Imma	74	orthorhombic	{4,6,4}	6	(3,3)

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
	UQC3480	*222222a	(3,3,2)	{4,6,4}	{10.10.10.10}{10.4.10.10.4.10}{1...	sqc72	sqc1329	sqc1354
	UQC3481	*222222a	(3,3,2)	{4,6,4}	{10.10.10.10}{10.4.10.10.4.10}{1...	sqc72	sqc1293	sqc1311
	UQC3482	*222222a	(3,3,2)	{4,6,4}	{10.10.10.10}{10.4.10.10.4.10}{1...	sqc67	sqc1334	sqc1358
	UQC3483	*222222b	(3,3,2)	{4,6,4}	{10.10.10.10}{10.4.10.10.4.10}{1...	No s‑net	sqc1333	sqc72

Symmetry-lowered hyperbolic tilings

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