h-net: hqc2047

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,8,4,4}
2D vertex symbol	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<2047.2:12:1 3 5 7 9 11 12,2 12 6 11 8 10,1 4 5 6 7 8 9 10 11 12:4 4,4 8 4 4>
Dual net	hqc1960

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)
	sqc5113		Fmmm	69	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc5387		Fmmm	69	orthorhombic	{4,4,8,4}	10	(4,6)
	sqc5388		Fmmm	69	orthorhombic	{4,4,8,4}	10	(4,6)
	sqc5390		Fmmm	69	orthorhombic	{4,4,4,8}	10	(4,6)
	sqc10701		P4/mmm	123	tetragonal	{4,8,4,4}	20	(4,6)
	sqc10837		P4/mmm	123	tetragonal	{4,8,4,4}	20	(4,6)
	sqc10840		P4/mmm	123	tetragonal	{4,8,4,4}	20	(4,6)
	sqc10704		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10793		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10794		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10833		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10835		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10839		I4122	98	tetragonal	{4,8,4,4}	20	(4,7)
	sqc10880		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10881		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10922		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc10924		Fddd	70	orthorhombic	{4,8,4,4}	20	(4,7)
	sqc4834		P4222	93	tetragonal	{4,4,4,8}	10	(4,6)
	sqc4840		P4222	93	tetragonal	{8,4,4,4}	10	(4,6)
	sqc4852		Cmma	67	orthorhombic	{4,4,8,4}	10	(4,6)
	sqc4858		P4222	93	tetragonal	{8,4,4,4}	10	(4,6)
	sqc5009		P4222	93	tetragonal	{4,8,4,4}	10	(4,6)
	sqc5114		Cmma	67	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc5317		P4222	93	tetragonal	{8,4,4,4}	10	(4,6)
	sqc5357		Cmma	67	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc5389		Cmma	67	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc5392		Cmma	67	orthorhombic	{4,4,4,8}	10	(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
	UQC5186	*22222a	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc10701	sqc10704	sqc4858
	UQC5187	*22222a	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc10683	sqc10833	sqc4834
	UQC5188	*22222a	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc10837	sqc10835	sqc5009
	UQC5189	*22222b	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc4727	sqc10881	sqc4852
	UQC5190	*22222b	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc5390	sqc10922	sqc5392
	UQC5191	*22222b	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc5113	sqc10880	sqc5357
	UQC5192	*22222a	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc10689	sqc10793	sqc4840
	UQC5193	*22222b	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc5388	sqc10794	sqc5114
	UQC5194	*22222a	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc10840	sqc10839	sqc5317
	UQC5195	*22222b	(4,6,2)	{4,8,4,4}	{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4...	sqc5387	sqc10924	sqc5389

Symmetry-lowered hyperbolic tilings

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