h-net: hqc1787

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,4,4,3}
2D vertex symbol	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}
Delaney-Dress Symbol	<1787.2:11:1 3 5 7 9 10 11,2 4 6 7 10 11,1 2 3 4 5 8 9 10 11:7 4,4 4 4 3>
Dual net	hqc1667

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)
	sqc4470		Fmmm	69	orthorhombic	{3,4,4,4}	12	(4,6)
	sqc4652		Fmmm	69	orthorhombic	{3,4,4,4}	12	(4,6)
	sqc10669		P4/mmm	123	tetragonal	{4,4,4,3}	24	(4,6)
	sqc10326		I4122	98	tetragonal	{4,4,4,3}	24	(4,7)
	sqc10327		Fddd	70	orthorhombic	{4,4,4,3}	24	(4,7)
	sqc10355		I4122	98	tetragonal	{4,4,4,3}	24	(4,7)
	sqc10364		Fddd	70	orthorhombic	{4,4,4,3}	24	(4,7)
	sqc10367		Fddd	70	orthorhombic	{4,4,4,3}	24	(4,7)
	sqc10386		I4122	98	tetragonal	{4,4,4,3}	24	(4,7)
	sqc10577		I4122	98	tetragonal	{4,4,4,3}	24	(4,7)
	sqc10623		Fddd	70	orthorhombic	{4,4,4,3}	24	(4,7)
	sqc10624		Fddd	70	orthorhombic	{4,4,4,3}	24	(4,7)
	sqc10639		I4122	98	tetragonal	{4,4,4,3}	24	(4,7)
	sqc629		Pmmm	47	orthorhombic	{4,4,3,4}	6	(4,6)
	sqc4093		P4222	93	tetragonal	{3,4,4,4}	12	(4,6)
	sqc4184		P4222	93	tetragonal	{3,4,4,4}	12	(4,6)
	sqc4294		P4222	93	tetragonal	{3,4,4,4}	12	(4,6)
	sqc4651		Cmma	67	orthorhombic	{3,4,4,4}	12	(4,6)
	sqc4715		Cmma	67	orthorhombic	{4,3,4,4}	12	(4,6)
	sqc14609		P4222	93	tetragonal	{3,4,4,4}	12	(4,6)
	sqc14610		P4222	93	tetragonal	{4,4,3,4}	12	(4,6)
	sqc14623		Cmma	67	orthorhombic	{3,4,4,4}	12	(4,6)

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
	UQC4901	*22222a	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	No s‑net	sqc10577	sqc14610
	UQC4902	*22222a	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	sqc10080	sqc10326	sqc4093
	UQC4903	*22222b	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	No s‑net	sqc10327	sqc14623
	UQC4904	*22222a	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	sqc10669	sqc10639	sqc4294
	UQC4905	*22222b	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	sqc4470	sqc10367	sqc629
	UQC4906	*22222a	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	sqc10076	sqc10386	sqc4184
	UQC4907	*22222b	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	sqc4652	sqc10624	sqc629
	UQC4908	*22222b	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	sqc629	sqc10623	sqc4651
	UQC4909	*22222b	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	sqc3998	sqc10364	sqc4715
	UQC4910	*22222a	(4,6,2)	{4,4,4,3}	{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}	No s‑net	sqc10355	sqc14609

Symmetry-lowered hyperbolic tilings

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