h-net: hqc1492

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,6,3,4}
2D vertex symbol	{5.5.5.5}{5.10.5.5.10.5}{5.10.10}{10.10.10.10}
Delaney-Dress Symbol	<1492.2:10:1 3 5 7 9 10,2 4 5 6 8 10,1 2 3 6 7 8 9 10:5 10,4 6 3 4>
Dual net	hqc1347

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)
	sqc3742		Cmma	67	orthorhombic	{4,6,3,4}	10	(4,5)
	sqc3772		Cmma	67	orthorhombic	{4,6,3,4}	10	(4,5)
	sqc3501		I212121	24	orthorhombic	{4,6,3,4}	10	(4,6)
	sqc3622		C2/c	15	monoclinic	{4,6,3,4}	10	(4,6)
	sqc3691		C2/c	15	monoclinic	{4,6,3,4}	10	(4,6)
	sqc3771		C2/c	15	monoclinic	{4,6,3,4}	10	(4,6)
	sqc503		P222	16	orthorhombic	{6,3,4,4}	5	(4,5)
	sqc3275		Imma	74	orthorhombic	{4,6,3,4}	10	(4,5)
	sqc3538		Imma	74	orthorhombic	{4,6,3,4}	10	(4,5)
	sqc3623		Imma	74	orthorhombic	{4,6,3,4}	10	(4,5)

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
	UQC4608	*222222a	(4,5,2)	{4,6,3,4}	{5.5.5.5}{5.10.5.5.10.5}{5.10.10...	sqc3772	sqc3771	sqc3275
	UQC4609	*222222a	(4,5,2)	{4,6,3,4}	{5.5.5.5}{5.10.5.5.10.5}{5.10.10...	No s‑net	sqc3691	sqc3538
	UQC4610	*222222b	(4,5,2)	{4,6,3,4}	{5.5.5.5}{5.10.5.5.10.5}{5.10.10...	sqc2748	sqc3501	sqc503
	UQC4611	*222222a	(4,5,2)	{4,6,3,4}	{5.5.5.5}{5.10.5.5.10.5}{5.10.10...	sqc3742	sqc3622	sqc3623

Symmetry-lowered hyperbolic tilings

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