h-net: hqc2000

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{3,6}
2D vertex symbol	{4.8.4}{4.4.4.4.8.8}
Delaney-Dress Symbol	<2000.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:4 4 8 4,3 6>
Dual net	hqc2036

Derived s-nets

s-nets with faithful topology

26 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)
	sqc4886		P4/mmm	123	tetragonal	{3,6}	12	(2,5)
	sqc5043		Fmmm	69	orthorhombic	{6,3}	12	(2,6)
	sqc5046		Fmmm	69	orthorhombic	{3,6}	12	(2,6)
	sqc5367		Fmmm	69	orthorhombic	{3,6}	12	(2,6)
	sqc10706		P4/mmm	123	tetragonal	{6,3}	24	(2,6)
	sqc11047		P4/mmm	123	tetragonal	{6,3}	24	(2,6)
	sqc10705		I4122	98	tetragonal	{6,3,3}	24	(3,7)
	sqc10760		I4122	98	tetragonal	{6,3,3}	24	(3,7)
	sqc10801		Fddd	70	orthorhombic	{6,3,3}	24	(3,7)
	sqc10803		I4122	98	tetragonal	{6,3,3}	24	(3,7)
	sqc10808		Fddd	70	orthorhombic	{6,3,3}	24	(3,7)
	sqc10812		Fddd	70	orthorhombic	{6,3,3}	24	(3,7)
	sqc10884		Fddd	70	orthorhombic	{6,3,3}	24	(3,7)
	sqc10886		Fddd	70	orthorhombic	{6,3,3}	24	(3,7)
	sqc10887		I4122	98	tetragonal	{6,3,3}	24	(3,7)
	sqc11046		I4122	98	tetragonal	{6,3,3}	24	(3,7)
	sqc897		Fmmm	69	orthorhombic	{3,6}	6	(2,5)
	sqc4737		P4222	93	tetragonal	{6,3}	12	(2,6)
	sqc5040		P4222	93	tetragonal	{6,3}	12	(2,6)
	sqc5045		Cmma	67	orthorhombic	{6,3}	12	(2,6)
	sqc5072		P4222	93	tetragonal	{3,6}	12	(2,6)
	sqc5074		Cmma	67	orthorhombic	{3,6}	12	(2,6)
	sqc5315		Cmma	67	orthorhombic	{3,6}	12	(2,6)
	sqc5329		Cmma	67	orthorhombic	{3,6}	12	(2,6)
	sqc5365		P4222	93	tetragonal	{3,6}	12	(2,6)
	sqc5369		P4222	93	tetragonal	{3,6}	12	(2,6)

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
	UQC2330	*22222a	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc10706	sqc10705	sqc4737
	UQC2331	*22222b	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc4621	sqc10812	sqc5074
	UQC2332	*22222a	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc10429	sqc10760	sqc5040
	UQC2333	*22222a	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc11047	sqc11046	sqc5365
	UQC2334	*22222a	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc10555	sqc10803	sqc5072
	UQC2335	*22222b	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc5367	sqc10886	sqc5045
	UQC2336	*22222b	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc5043	sqc10808	sqc897
	UQC2337	*22222b	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc5046	sqc10884	sqc5329
	UQC2338	*22222b	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc5367	sqc10801	sqc5315
	UQC2339	*22222a	(2,6,4)	{6,3}	{4.8.4}{4.4.4.4.8.8}	sqc4886	sqc10887	sqc5369

Symmetry-lowered hyperbolic tilings

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