h-net: hqc2036

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(4,6,2)
Vertex degrees	{4,4,8,4}
2D vertex symbol	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3.3}{3.3.3.3}
Delaney-Dress Symbol	<2036.2:12:1 3 5 7 9 11 12,2 4 12 8 11 10,1 2 3 6 7 8 9 10 11 12:6 3,4 4 8 4>
Dual net	hqc2000

Derived s-nets

s-nets with faithful topology

22 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)
	sqc5159		Fmmm	69	orthorhombic	{4,4,8,4}	10	(4,6)
	sqc5296		Fmmm	69	orthorhombic	{4,8,4,4}	10	(4,6)
	sqc10984		P4/mmm	123	tetragonal	{4,4,8,4}	20	(4,6)
	sqc10772		I4122	98	tetragonal	{4,4,8,4}	20	(4,7)
	sqc10791		I4122	98	tetragonal	{4,4,8,4}	20	(4,7)
	sqc10792		Fddd	70	orthorhombic	{4,4,8,4}	20	(4,7)
	sqc10795		I4122	98	tetragonal	{4,4,8,4}	20	(4,7)
	sqc10796		Fddd	70	orthorhombic	{4,4,8,4}	20	(4,7)
	sqc10797		Fddd	70	orthorhombic	{4,4,8,4}	20	(4,7)
	sqc10858		Fddd	70	orthorhombic	{4,4,8,4}	20	(4,7)
	sqc10859		I4122	98	tetragonal	{4,4,8,4}	20	(4,7)
	sqc10918		Fddd	70	orthorhombic	{4,4,8,4}	20	(4,7)
	sqc10972		I4122	98	tetragonal	{4,4,8,4}	20	(4,7)
	sqc790		Pmmm	47	orthorhombic	{4,4,4,8}	5	(4,6)
	sqc4811		P4222	93	tetragonal	{4,4,8,4}	10	(4,6)
	sqc4855		P4222	93	tetragonal	{4,4,8,4}	10	(4,6)
	sqc4856		P4222	93	tetragonal	{4,4,8,4}	10	(4,6)
	sqc4891		P4222	93	tetragonal	{4,4,8,4}	10	(4,6)
	sqc5122		P42/mmc	131	tetragonal	{4,4,8,4}	10	(4,6)
	sqc5297		Cmma	67	orthorhombic	{4,4,8,4}	10	(4,6)
	sqc5311		Cmma	67	orthorhombic	{4,4,8,4}	10	(4,6)
	sqc5382		Cmma	67	orthorhombic	{4,4,8,4}	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
	UQC5136	*22222a	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc10687	sqc10791	sqc4811
	UQC5137	*22222a	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc10679	sqc10859	sqc4856
	UQC5138	*22222b	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc4728	sqc10792	sqc5311
	UQC5139	*22222a	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc10686	sqc10795	sqc4855
	UQC5140	*22222b	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc4730	sqc10796	sqc5297
	UQC5141	*22222b	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc5159	sqc10797	sqc790
	UQC5142	*22222b	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc5296	sqc10858	sqc790
	UQC5143	*22222b	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc790	sqc10918	sqc5382
	UQC5144	*22222a	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc10984	sqc10972	sqc5122
	UQC5145	*22222a	(4,6,2)	{4,4,8,4}	{6.6.6.6}{6.3.3.6}{6.6.3.3.6.6.3...	sqc10681	sqc10772	sqc4891

Symmetry-lowered hyperbolic tilings

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