h-net: hqc1049

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,5,3)
Vertex degrees	{6,6}
2D vertex symbol	{4.4.3.3.4.4}{4.4.3.4.4.3}
Delaney-Dress Symbol	<1049.2:9:1 2 3 5 7 8 9,2 4 9 8 7,1 3 6 7 8 9:4 4 3,6 6>
Dual net	hqc1115

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)
	sqc2631		Fmmm	69	orthorhombic	{6,6}	6	(2,5)
	sqc2633		Fmmm	69	orthorhombic	{6,6}	6	(2,5)
	sqc9031		P4/mmm	123	tetragonal	{6,6}	12	(2,5)
	sqc8444		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc8450		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc8623		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc8670		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8676		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8689		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8693		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8694		Fddd	70	orthorhombic	{6,6}	12	(2,6)
	sqc8873		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc9037		I4122	98	tetragonal	{6,6}	12	(2,6)
	sqc247	btu	Pmmm	47	orthorhombic	{6,6}	3	(2,5)
	sqc2416		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2462		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2618		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2632		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2665		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2675		Cmma	67	orthorhombic	{6,6}	6	(2,5)
	sqc2699		P4222	93	tetragonal	{6,6}	6	(2,5)
	sqc2778		Cmma	67	orthorhombic	{6,6}	6	(2,5)

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
	UQC1215	*22222a	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc8274	sqc8450	sqc2416
	UQC1216	*22222a	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc7838	sqc8444	sqc2618
	UQC1217	*22222a	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc7611	sqc8623	sqc2665
	UQC1218	*22222b	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc2126	sqc8670	sqc2675
	UQC1219	*22222a	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc9031	sqc9037	sqc2699
	UQC1220	*22222b	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc2272	sqc8676	sqc2778
	UQC1221	*22222b	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc2633	sqc8693	sqc247
	UQC1222	*22222b	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc247	sqc8689	sqc2632
	UQC1223	*22222b	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc2631	sqc8694	sqc247
	UQC1224	*22222a	(2,5,3)	{6,6}	{4.4.3.3.4.4}{4.4.3.4.4.3}	sqc8328	sqc8873	sqc2462

Symmetry-lowered hyperbolic tilings

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