h-net: hqc1113

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{6,4,4}
2D vertex symbol	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}
Delaney-Dress Symbol	<1113.2:9:1 3 5 6 8 9,2 7 4 6 9,1 4 5 6 7 8 9:6 3,6 4 4>
Dual net	hqc1052

Derived s-nets

s-nets with faithful topology

22 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)
	sqc2776		Fmmm	69	orthorhombic	{6,4,4}	8	(3,5)
	sqc2850		Fmmm	69	orthorhombic	{4,6,4}	8	(3,5)
	sqc9004		P4/mmm	123	tetragonal	{6,4,4}	16	(3,5)
	sqc8451		I4122	98	tetragonal	{6,4,4}	16	(3,6)
	sqc8668		I4122	98	tetragonal	{6,4,4}	16	(3,6)
	sqc8669		Fddd	70	orthorhombic	{6,4,4}	16	(3,6)
	sqc8683		Fddd	70	orthorhombic	{6,4,4}	16	(3,6)
	sqc8684		Fddd	70	orthorhombic	{6,4,4}	16	(3,6)
	sqc8696		I4122	98	tetragonal	{6,4,4}	16	(3,6)
	sqc8763		I4122	98	tetragonal	{6,4,4}	16	(3,6)
	sqc8811		Fddd	70	orthorhombic	{6,4,4}	16	(3,6)
	sqc8909		Fddd	70	orthorhombic	{6,4,4}	16	(3,6)
	sqc8999		I4122	98	tetragonal	{6,4,4}	16	(3,6)
	sqc268		Pmmm	47	orthorhombic	{4,4,6}	4	(3,5)
	sqc2394		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2465		P4222	93	tetragonal	{4,6,4}	8	(3,5)
	sqc2466		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2499		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2702		P42/mmc	131	tetragonal	{6,4,4}	8	(3,5)
	sqc2864		Cmma	67	orthorhombic	{4,4,6}	8	(3,5)
	sqc2887		Cmma	67	orthorhombic	{4,4,6}	8	(3,5)
	sqc3016		Cmma	67	orthorhombic	{4,4,6}	8	(3,5)

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
	UQC3931	*22222a	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc8350	sqc8668	sqc2394
	UQC3932	*22222a	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc8359	sqc8451	sqc2466
	UQC3933	*22222b	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc2274	sqc8669	sqc2887
	UQC3934	*22222a	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc9004	sqc8999	sqc2702
	UQC3935	*22222b	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc2279	sqc8684	sqc2864
	UQC3936	*22222b	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc2850	sqc8811	sqc268
	UQC3937	*22222a	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc8348	sqc8696	sqc2465
	UQC3938	*22222b	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc2776	sqc8683	sqc268
	UQC3939	*22222a	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc8293	sqc8763	sqc2499
	UQC3940	*22222b	(3,5,2)	{6,4,4}	{6.3.6.6.3.6}{6.6.3.3}{6.6.6.6}	sqc268	sqc8909	sqc3016

Symmetry-lowered hyperbolic tilings

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