h-net: hqc2239

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{4,4,6,4,4}
2D vertex symbol	{10.10.10.10}{10.4.4.10}{10.4.4.10.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<2239.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:10 4,4 4 6 4 4>
Dual net	hqc2152

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)
	sqc1079		Pmmm	47	orthorhombic	{4,4,4,4,6}	6	(5,6)
	sqc5982		Cmma	67	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc6104		Cmma	67	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc5895		I212121	24	orthorhombic	{4,4,6,4,4}	12	(5,7)
	sqc5896		C2/c	15	monoclinic	{4,4,6,4,4}	12	(5,7)
	sqc5981		C2/c	15	monoclinic	{4,4,6,4,4}	12	(5,7)
	sqc6016		C2/c	15	monoclinic	{4,4,6,4,4}	12	(5,7)
	sqc1106		P222	16	orthorhombic	{6,4,4,4,4}	6	(5,6)
	sqc5795		Imma	74	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc6017		Imma	74	orthorhombic	{4,4,6,4,4}	12	(5,6)
	sqc6078		Imma	74	orthorhombic	{4,4,6,4,4}	12	(5,6)

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
	UQC5653	*222222a	(5,6,2)	{4,4,6,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4....	sqc5982	sqc5981	sqc6078
	UQC5654	*222222b	(5,6,2)	{4,4,6,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4....	sqc5614	sqc5895	sqc1106
	UQC5655	*222222a	(5,6,2)	{4,4,6,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4....	sqc1079	sqc5896	sqc5795
	UQC5656	*222222a	(5,6,2)	{4,4,6,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4....	sqc6104	sqc6016	sqc6017

Symmetry-lowered hyperbolic tilings

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