h-net: hqc1122

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{4,4,6}
2D vertex symbol	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}
Delaney-Dress Symbol	<1122.2:9:1 3 5 7 8 9,2 4 5 8 9,1 2 3 6 7 8 9:5 4,4 4 6>
Dual net	hqc1040

Derived s-nets

s-nets with faithful topology

24 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)
	sqc2728		Fmmm	69	orthorhombic	{4,4,6}	8	(3,5)
	sqc2851		Fmmm	69	orthorhombic	{4,6,4}	8	(3,5)
	sqc2974		Fmmm	69	orthorhombic	{4,4,6}	8	(3,5)
	sqc9038		P4/mmm	123	tetragonal	{4,4,6}	16	(3,5)
	sqc8446		I4122	98	tetragonal	{4,4,6}	16	(3,6)
	sqc8765		I4122	98	tetragonal	{4,4,6}	16	(3,6)
	sqc8767		I4122	98	tetragonal	{4,4,6}	16	(3,6)
	sqc8784		Fddd	70	orthorhombic	{4,4,6}	16	(3,6)
	sqc8805		Fddd	70	orthorhombic	{4,4,6}	16	(3,6)
	sqc8808		Fddd	70	orthorhombic	{4,4,6}	16	(3,6)
	sqc8882		Fddd	70	orthorhombic	{4,4,6}	16	(3,6)
	sqc8883		I4122	98	tetragonal	{4,4,6}	16	(3,6)
	sqc8918		Fddd	70	orthorhombic	{4,4,6}	16	(3,6)
	sqc9040		I4122	98	tetragonal	{4,4,6}	16	(3,6)
	sqc2396		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2457		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2459		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2606		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2729		Cmma	67	orthorhombic	{4,4,6}	8	(3,5)
	sqc2865		Cmma	67	orthorhombic	{4,4,6}	8	(3,5)
	sqc2939		Cmma	67	orthorhombic	{4,6,4}	8	(3,5)
	sqc2973		Cmma	67	orthorhombic	{4,4,6}	8	(3,5)
	sqc2982		P4222	93	tetragonal	{4,4,6}	8	(3,5)
	sqc2987		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
	UQC3985	*22222a	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc8295	sqc8765	sqc2396
	UQC3986	*22222a	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc8367	sqc8446	sqc2459
	UQC3987	*22222a	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc8294	sqc8767	sqc2606
	UQC3988	*22222a	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc8352	sqc8883	sqc2457
	UQC3989	*22222a	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc9038	sqc9040	sqc2982
	UQC3990	*22222b	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc2974	sqc8918	sqc2939
	UQC3991	*22222b	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc2728	sqc8882	sqc2973
	UQC3992	*22222b	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc2257	sqc8784	sqc2865
	UQC3993	*22222b	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc2851	sqc8805	sqc2729
	UQC3994	*22222b	(3,5,2)	{4,4,6}	{5.5.5.5}{5.4.4.5}{5.4.4.5.4.4}	sqc2283	sqc8808	sqc2987

Symmetry-lowered hyperbolic tilings

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