h-net: hqc51

Topological data

Orbifold symbol	*2223
Transitivity (vertex, edge, ring)	(2,2,1)
Vertex degrees	{4,3}
2D vertex symbol	{6.6.6.6}{6.6.6}
Vertex coordination sequence	[(4, 10, 22, 48, 104, 224, 482, 1038, 2236, 4816), (3, 9, 21, 45, 96, 207, 447, 963, 2073, 4464)]
Delaney-Dress Symbol	<51.1:3:1 3,2 3,1 2 3:6,4 3>
Dual net	hqc32

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)
	sqc2873		Fmmm	69	orthorhombic	{3,4,4}	10	(3,5)
	sqc3026		Fmmm	69	orthorhombic	{3,4,4}	10	(3,5)
	sqc3028		Fmmm	69	orthorhombic	{4,4,3}	10	(3,5)
	sqc3041		Fmmm	69	orthorhombic	{3,4,4}	10	(3,5)
	sqc9150		P4/mmm	123	tetragonal	{4,3,4}	20	(3,5)
	sqc9220		P4/mmm	123	tetragonal	{4,3,4}	20	(3,5)
	sqc9223	tfg	Pm-3m	221	cubic	{4,3}	20	(2,2)
	sqc8796		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc8829		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc8830		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc8831		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc8832		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc9157		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc9195		I4122	98	tetragonal	{4,3,4}	20	(3,6)
	sqc9196		I4132	214	cubic	{4,3}	20	(2,2)
	sqc9226		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc9227		Fddd	70	orthorhombic	{4,3,4}	20	(3,6)
	sqc2503		P4222	93	tetragonal	{4,4,3}	10	(3,5)
	sqc2517		P4222	93	tetragonal	{3,4,4}	10	(3,5)
	sqc2518		P4222	93	tetragonal	{4,3,4}	10	(3,5)
	sqc2874		Cmma	67	orthorhombic	{4,3,4}	10	(3,5)
	sqc2946		P4222	93	tetragonal	{4,4,3}	10	(3,5)
	sqc2947		Cmma	67	orthorhombic	{3,4,4}	10	(3,5)
	sqc2948	srd	P4232	208	cubic	{4,3}	10	(2,2)
	sqc2949		Cmma	67	orthorhombic	{4,3,4}	10	(3,5)
	sqc3027		Cmma	67	orthorhombic	{4,3,4}	10	(3,5)
	sqc3044		Cmma	67	orthorhombic	{4,4,3}	10	(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
	UQC54	*2223	(2,2,1)	{4,3}	{6.6.6.6}{6.6.6}	sqc9223	sqc9196	sqc2948
	UQC3897	*22222a	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc9150	sqc9157	sqc2517
	UQC3898	*22222b	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc2290	sqc8832	sqc3044
	UQC3899	*22222b	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc2873	sqc8831	sqc3027
	UQC3900	*22222b	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc3028	sqc9226	sqc2949
	UQC3901	*22222b	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc3026	sqc8830	sqc2874
	UQC3902	*22222b	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc3041	sqc9227	sqc2947
	UQC3903	*22222a	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc9220	sqc9195	sqc2946
	UQC3904	*22222a	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc8321	sqc8796	sqc2503
	UQC3905	*22222a	(3,5,2)	{4,3,4}	{6.6.6.6}{6.6.6}{6.6.6.6}	sqc8331	sqc8829	sqc2518

Symmetry-lowered hyperbolic tilings

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