h-net: hqc32

Topological data

Orbifold symbol	*2223
Transitivity (vertex, edge, ring)	(1,2,2)
Vertex degrees	{6}
2D vertex symbol	{3.4.4.3.4.4}
Vertex coordination sequence	[(6, 22, 72, 234, 762, 2480, 8070, 26262, 85464)]
Delaney-Dress Symbol	<32.1:3:1 2 3,1 3,2 3:3 4,6>
Dual net	hqc51

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)
	sqc2624		Fmmm	69	orthorhombic	{6,6}	6	(2,5)
	sqc2628		Fmmm	69	orthorhombic	{6,6}	6	(2,5)
	sqc2726		Fmmm	69	orthorhombic	{6,6}	6	(2,5)
	sqc8990	reo-e	Pm-3m	221	cubic	{6}	12	(1,2)
	sqc8424		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc8443		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc8612		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc8657		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8661		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8691		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8692		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc8869		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8874		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc9035		I4132	214	cubic	{6}	12	(1,2)
	sqc2395		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2455		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2463		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2540		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2627		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2664		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2672		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2727		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2914		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2969		P4232	208	cubic	{6}	6	(1,2)

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
	UQC12	*2223	(1,2,2)	{6}	{3.4.4.3.4.4}	sqc8990	sqc9035	sqc2969
	UQC1016	*22222a	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc8270	sqc8424	sqc2395
	UQC1017	*22222a	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc7838	sqc8443	sqc2540
	UQC1018	*22222b	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc2156	sqc8657	sqc2672
	UQC1019	*22222b	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc2256	sqc8661	sqc2463
	UQC1020	*22222a	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc8329	sqc8692	sqc2455
	UQC1021	*22222b	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc2726	sqc8874	sqc2627
	UQC1022	*22222b	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc2624	sqc8691	sqc2727
	UQC1023	*22222b	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc2628	sqc8869	sqc2914
	UQC1024	*22222a	(2,5,3)	{6,6}	{4.3.4.4.3.4}{3.4.4.3.4.4}	sqc7612	sqc8612	sqc2664

Symmetry-lowered hyperbolic tilings

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