h-net: hqc1442

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,6,2)
Vertex degrees	{4,4,4}
2D vertex symbol	{6.4.4.6}{6.6.4.4}{6.6.6.6}
Delaney-Dress Symbol	<1442.2:10:1 3 5 6 7 9 10,2 8 6 7 10,1 4 5 6 7 8 9 10:6 4,4 4 4>
Dual net	hqc1419

Derived s-nets

s-nets with faithful topology

27 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)
	sqc3679		Fmmm	69	orthorhombic	{4,4,4}	10	(3,6)
	sqc3844		Fmmm	69	orthorhombic	{4,4,4}	10	(3,6)
	sqc3846		Fmmm	69	orthorhombic	{4,4,4}	10	(3,6)
	sqc3858		Fmmm	69	orthorhombic	{4,4,4}	10	(3,6)
	sqc9840		P4/mmm	123	tetragonal	{4,4,4}	20	(3,6)
	sqc9846		P4/mmm	123	tetragonal	{4,4,4}	20	(3,6)
	sqc9875		P4/mmm	123	tetragonal	{4,4,4}	20	(3,6)
	sqc9579		I4122	98	tetragonal	{4,4,4}	20	(3,7)
	sqc9586		I4122	98	tetragonal	{4,4,4}	20	(3,7)
	sqc9590		Fddd	70	orthorhombic	{4,4,4}	20	(3,7)
	sqc9622		Fddd	70	orthorhombic	{4,4,4}	20	(3,7)
	sqc9623		Fddd	70	orthorhombic	{4,4,4}	20	(3,7)
	sqc9841		I4122	98	tetragonal	{4,4,4}	20	(3,7)
	sqc9845		I4122	98	tetragonal	{4,4,4}	20	(3,7)
	sqc9860		Fddd	70	orthorhombic	{4,4,4}	20	(3,7)
	sqc9864		Fddd	70	orthorhombic	{4,4,4}	20	(3,7)
	sqc9887		I4122	98	tetragonal	{4,4,4}	20	(3,7)
	sqc3262		P4222	93	tetragonal	{4,4,4}	10	(3,6)
	sqc3263		P4222	93	tetragonal	{4,4,4}	10	(3,6)
	sqc3274		P4222	93	tetragonal	{4,4,4}	10	(3,6)
	sqc3680		P4222	93	tetragonal	{4,4,4}	10	(3,6)
	sqc3689		Cmma	67	orthorhombic	{4,4,4}	10	(3,6)
	sqc3743		P4222	93	tetragonal	{4,4,4}	10	(3,6)
	sqc3746		Cmma	67	orthorhombic	{4,4,4}	10	(3,6)
	sqc3845		Cmma	67	orthorhombic	{4,4,4}	10	(3,6)
	sqc3861		Cmma	67	orthorhombic	{4,4,4}	10	(3,6)
	sqc3876		Cmma	67	orthorhombic	{4,4,4}	10	(3,6)

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
	UQC4118	*22222a	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc9840	sqc9841	sqc3274
	UQC4119	*22222a	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc9280	sqc9586	sqc3263
	UQC4120	*22222b	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc3091	sqc9623	sqc3876
	UQC4121	*22222a	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc9296	sqc9579	sqc3262
	UQC4122	*22222b	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc3846	sqc9864	sqc3861
	UQC4123	*22222b	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc3679	sqc9622	sqc3845
	UQC4124	*22222a	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc9846	sqc9845	sqc3680
	UQC4125	*22222a	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc9875	sqc9887	sqc3743
	UQC4126	*22222b	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc3844	sqc9590	sqc3689
	UQC4127	*22222b	(3,6,2)	{4,4,4}	{6.4.4.6}{6.6.4.4}{6.6.6.6}	sqc3858	sqc9860	sqc3746

Symmetry-lowered hyperbolic tilings

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