h-net: hqc1829

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{8,3,4,4}
2D vertex symbol	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<1829.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:6 4,8 3 4 4>
Dual net	hqc1632

Derived s-nets

s-nets with faithful topology

19 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)
	sqc4352		Fmmm	69	orthorhombic	{3,4,4,8}	10	(4,5)
	sqc10339		P4/mmm	123	tetragonal	{8,3,4,4}	20	(4,5)
	sqc10145		I4122	98	tetragonal	{8,3,4,4}	20	(4,6)
	sqc10213		I4122	98	tetragonal	{8,3,4,4}	20	(4,6)
	sqc10245		I4122	98	tetragonal	{8,3,4,4}	20	(4,6)
	sqc10268		Fddd	70	orthorhombic	{8,3,4,4}	20	(4,6)
	sqc10269		I4122	98	tetragonal	{8,3,4,4}	20	(4,6)
	sqc10272		Fddd	70	orthorhombic	{8,3,4,4}	20	(4,6)
	sqc10273		Fddd	70	orthorhombic	{8,3,4,4}	20	(4,6)
	sqc10337		I4122	98	tetragonal	{8,3,4,4}	20	(4,6)
	sqc10460		Fddd	70	orthorhombic	{8,3,4,4}	20	(4,6)
	sqc10461		Fddd	70	orthorhombic	{8,3,4,4}	20	(4,6)
	sqc594		Pmmm	47	orthorhombic	{3,4,4,8}	5	(4,5)
	sqc4114		P4222	93	tetragonal	{4,8,3,4}	10	(4,5)
	sqc4126		P4222	93	tetragonal	{3,4,8,4}	10	(4,5)
	sqc4353		Cmma	67	orthorhombic	{8,4,3,4}	10	(4,5)
	sqc4543		P4222	93	tetragonal	{3,4,4,8}	10	(4,5)
	sqc4597		Cmma	67	orthorhombic	{4,3,4,8}	10	(4,5)

s-nets with edge collapse

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Derived U-tilings

10 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC4990	*22222a	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	No s‑net	sqc10145	No s‑net
	UQC4991	*22222a	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	sqc9964	sqc10213	sqc4114
	UQC4992	*22222a	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	No s‑net	sqc10245	No s‑net
	UQC4993	*22222b	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	No s‑net	sqc10460	No s‑net
	UQC4994	*22222b	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	sqc4352	sqc10273	sqc594
	UQC4995	*22222b	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	sqc3959	sqc10272	sqc594
	UQC4996	*22222b	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	sqc594	sqc10268	sqc4353
	UQC4997	*22222a	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	sqc10013	sqc10269	sqc4126
	UQC4998	*22222b	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	sqc594	sqc10461	sqc4597
	UQC4999	*22222a	(4,5,2)	{8,3,4,4}	{6.4.4.6.6.4.4.6}{6.4.4}{4.4.4.4...	sqc10339	sqc10337	sqc4543

Symmetry-lowered hyperbolic tilings

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