h-net: hqc1102

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,5,2)
Vertex degrees	{4,6,4}
2D vertex symbol	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}
Delaney-Dress Symbol	<1102.2:9:1 3 5 6 8 9,2 3 6 7 9,1 4 5 6 7 8 9:3 6,4 6 4>
Dual net	hqc990

Derived s-nets

s-nets with faithful topology

23 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)
	sqc324		Pmmm	47	orthorhombic	{4,4,6}	4	(3,5)
	sqc2834		Fmmm	69	orthorhombic	{6,4,4}	8	(3,5)
	sqc2993		Fmmm	69	orthorhombic	{4,4,6}	8	(3,5)
	sqc9006		P4/mmm	123	tetragonal	{4,6,4}	16	(3,5)
	sqc8752		I4122	98	tetragonal	{4,6,4}	16	(3,6)
	sqc8759		I4122	98	tetragonal	{4,6,4}	16	(3,6)
	sqc8760		Fddd	70	orthorhombic	{4,6,4}	16	(3,6)
	sqc8774		I4122	98	tetragonal	{4,6,4}	16	(3,6)
	sqc8799		Fddd	70	orthorhombic	{4,6,4}	16	(3,6)
	sqc8800		Fddd	70	orthorhombic	{4,6,4}	16	(3,6)
	sqc8994		I4122	98	tetragonal	{4,6,4}	16	(3,6)
	sqc9000		Fddd	70	orthorhombic	{4,6,4}	16	(3,6)
	sqc9001		I4122	98	tetragonal	{4,6,4}	16	(3,6)
	sqc9002		Fddd	70	orthorhombic	{4,6,4}	16	(3,6)
	sqc2498		P4222	93	tetragonal	{6,4,4}	8	(3,5)
	sqc2705		P42/mmc	131	tetragonal	{4,4,6}	8	(3,5)
	sqc2762		P4222	93	tetragonal	{4,6,4}	8	(3,5)
	sqc2891		Cmma	67	orthorhombic	{4,6,4}	8	(3,5)
	sqc2962		P4222	93	tetragonal	{4,6,4}	8	(3,5)
	sqc2963		P4222	93	tetragonal	{6,4,4}	8	(3,5)
	sqc2995		Cmma	67	orthorhombic	{4,4,6}	8	(3,5)
	sqc3032		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
	UQC3855	*22222a	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	No s‑net	sqc8994	sqc2762
	UQC3856	*22222a	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	sqc9006	sqc9001	sqc2705
	UQC3857	*22222b	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	sqc2278	sqc8799	sqc3032
	UQC3858	*22222a	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	sqc8314	sqc8752	sqc2498
	UQC3859	*22222a	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	No s‑net	sqc8774	sqc2963
	UQC3860	*22222b	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	No s‑net	sqc8760	sqc2891
	UQC3861	*22222b	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	sqc324	sqc9000	sqc2995
	UQC3862	*22222b	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	sqc2834	sqc8800	sqc324
	UQC3863	*22222b	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	sqc2993	sqc9002	sqc324
	UQC3864	*22222a	(3,5,2)	{4,6,4}	{3.6.6.3}{3.6.6.3.6.6}{6.6.6.6}	sqc8347	sqc8759	sqc2962

Symmetry-lowered hyperbolic tilings

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