h-net: hqc1828

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,5,2)
Vertex degrees	{4,6,4,4}
2D vertex symbol	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<1828.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:6 4,4 6 4 4>
Dual net	hqc1635

Derived s-nets

s-nets with faithful topology

30 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)
	sqc4290		Fmmm	69	orthorhombic	{4,4,6,4}	10	(4,5)
	sqc4292		Fmmm	69	orthorhombic	{4,4,6,4}	10	(4,5)
	sqc4613		Fmmm	69	orthorhombic	{6,4,4,4}	10	(4,5)
	sqc4614		Fmmm	69	orthorhombic	{4,4,4,6}	10	(4,5)
	sqc4657		Fmmm	69	orthorhombic	{4,4,4,6}	10	(4,5)
	sqc10255		P4/mmm	123	tetragonal	{4,6,4,4}	20	(4,5)
	sqc10256		P4/mmm	123	tetragonal	{4,6,4,4}	20	(4,5)
	sqc10299		P4/mmm	123	tetragonal	{4,6,4,4}	20	(4,5)
	sqc10534		P4/mmm	123	tetragonal	{4,6,4,4}	20	(4,5)
	sqc10541		P4/mmm	123	tetragonal	{4,6,4,4}	20	(4,5)
	sqc10334		I4122	98	tetragonal	{4,6,4,4}	20	(4,6)
	sqc10335		I4122	98	tetragonal	{4,6,4,4}	20	(4,6)
	sqc10342		I4122	98	tetragonal	{4,6,4,4}	20	(4,6)
	sqc10538		I4122	98	tetragonal	{4,6,4,4}	20	(4,6)
	sqc10540		Fddd	70	orthorhombic	{4,6,4,4}	20	(4,6)
	sqc10542		Fddd	70	orthorhombic	{4,6,4,4}	20	(4,6)
	sqc10543		I4122	98	tetragonal	{4,6,4,4}	20	(4,6)
	sqc10544		Fddd	70	orthorhombic	{4,6,4,4}	20	(4,6)
	sqc10545		Fddd	70	orthorhombic	{4,6,4,4}	20	(4,6)
	sqc10546		Fddd	70	orthorhombic	{4,6,4,4}	20	(4,6)
	sqc4291		Cmma	67	orthorhombic	{4,6,4,4}	10	(4,5)
	sqc4339		P4222	93	tetragonal	{4,6,4,4}	10	(4,5)
	sqc4563		P4222	93	tetragonal	{4,6,4,4}	10	(4,5)
	sqc4566		Cmma	67	orthorhombic	{6,4,4,4}	10	(4,5)
	sqc4572		P42/mcm	132	tetragonal	{4,4,4,6}	10	(4,5)
	sqc4584		P4222	93	tetragonal	{4,4,6,4}	10	(4,5)
	sqc4590		Cmma	67	orthorhombic	{4,4,4,6}	10	(4,5)
	sqc4608		Cmma	67	orthorhombic	{4,4,6,4}	10	(4,5)
	sqc4609		Cmma	67	orthorhombic	{4,4,4,6}	10	(4,5)
	sqc4610		P4222	93	tetragonal	{4,4,4,6}	10	(4,5)

s-nets with edge collapse

No items to display.

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
	UQC4980	*22222a	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc10256	sqc10334	sqc4339
	UQC4981	*22222a	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc10255	sqc10335	sqc4572
	UQC4982	*22222a	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc10299	sqc10342	sqc4563
	UQC4983	*22222b	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc4292	sqc10545	sqc4609
	UQC4984	*22222a	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc10541	sqc10543	sqc4584
	UQC4985	*22222b	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc4614	sqc10540	sqc4566
	UQC4986	*22222a	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc10534	sqc10538	sqc4610
	UQC4987	*22222b	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc4613	sqc10546	sqc4291
	UQC4988	*22222b	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc4290	sqc10544	sqc4590
	UQC4989	*22222b	(4,5,2)	{4,6,4,4}	{6.4.4.6}{6.4.4.6.4.4}{4.4.4.4}{...	sqc4657	sqc10542	sqc4608

Symmetry-lowered hyperbolic tilings

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